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Tasbozan, Hatice. "Near neutrosophic soft set." AIMS Mathematics 9, no. 4 (2024): 9447–54. http://dx.doi.org/10.3934/math.2024461.
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<abstract><p>In this article, the notion of near neutrosophic soft sets $ (Nss) $ is obtained by combining the notion of $ Nss $ and the notion of near approximation space. Accordingly, a new set was obtained by restricting the set of features with the help of the indiffirentiable relation defined on the set. The features and definitions that the set will provide are given, and, based on these features, the benefits that will be provided when they are implemented are investigated in the example.</p></abstract>
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Bhargavi, K., and B. Sathish Babu. "Uncertainty Aware Resource Provisioning Framework for Cloud Using Expected 3-SARSA Learning Agent: NSS and FNSS Based Approach." Cybernetics and Information Technologies 19, no. 3 (2019): 94–117. http://dx.doi.org/10.2478/cait-2019-0028.
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Abstract Efficiently provisioning the resources in a large computing domain like cloud is challenging due to uncertainty in resource demands and computation ability of the cloud resources. Inefficient provisioning of the resources leads to several issues in terms of the drop in Quality of Service (QoS), violation of Service Level Agreement (SLA), over-provisioning of resources, under-provisioning of resources and so on. The main objective of the paper is to formulate optimal resource provisioning policies by efficiently handling the uncertainties in the jobs and resources with the application of Neutrosophic Soft-Set (NSS) and Fuzzy Neutrosophic Soft-Set (FNSS). The performance of the proposed work compared to the existing fuzzy auto scaling work achieves the throughput of 80% with the learning rate of 75% on homogeneous and heterogeneous workloads by considering the RUBiS, RUBBoS, and Olio benchmark applications.
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Ebtesam, Ebtesam, and Ebtesam Al Al-Mansor. "Leveraging Bat Algorithm with Rough Neutrosophic Soft Set for Enhanced Oral Cancer Detection and Classification." International Journal of Neutrosophic Science 24, no. 4 (2024): 71–81. http://dx.doi.org/10.54216/ijns.240405.
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Neutrosophic soft sets (NSS) are highly effective in representing neutral uncertain data. NSS model attracts several authors because it has huge range of applications in several areas such as decision-making, data analysis, smoothness of functions, probability theory, measurement theory, predicting, and operations research. Oral squamous cell carcinoma (OSCC) is the most general tumor around the world and its occurrence is on the increase in several populations. Early diagnosis plays vital role in improving diagnosis, treatment outcomes and survival rates. Although the new developments in understanding molecular mechanisms, late analysis and the implementation of precision medicine for OSCC patients continue to present problems. Early diagnosis and detection can support doctors in offering optimum patient care and effectual treatment. In recent years, the execution of several machine-learning (ML) approaches in cancer analysis has provided valuable insights, facilitating more effective and precise treatment decision-making. Oral Cancer screening can progress with the execution of artificial intelligence (AI) approaches. AI offers support to the oncology region by correctly examining a huge database in many imaging modalities. This article develops a Bat Algorithm with Rough Neutrosophic Soft Set for Oral Cancer Diagnosis (BARNSS-OCD) technique. The main intention of the BARNSS-OCD technique is to exploit deep learning (DL) model for enhanced identification of OC. In the BARNSS-OCD technique, median filtering (MF) is used for image pre-processing and the feature extraction takes place using deep convolutional neural network (DCNN) model. In addition, bat algorithm (BA) is used for the hyperparameter selection of the DCNN model. For OC detection process, the BARNSS-OCD technique applies RNSS model. To exhibit the improved performance of the BARNSS-OCD technique, a sequence of experiments is involved. The simulation outcomes indicate that the BARNSS-OCD technique gains better performance compared to other DL models
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Yousef, Yousef, Yousef Al Al-Qudah, Abdulqader O. Hamadameen, et al. "Matrices and Correlation Coefficient for possibility interval-valued neutrosophic hypersoft sets and their applications in real-life." International Journal of Neutrosophic Science 26, no. 1 (2025): 254–65. https://doi.org/10.54216/ijns.260122.
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In this careful study , through the concept possibility interval valued neutrosophic hyper soft set (abbreviated as piv-NHSS) which is combined from the hypersoft set (HSS) and Interval-valued neutrosophic set under the posobolity degree and each iv-NHSS is assigned a possibility degree in the interval [0, 1]. Based on this concept, we present a more flexible, expanded method for a previous concept named possibility interval valued neutrosophic hyper soft matrix (piv-NHSM) as a new generalization of piv-NHSS. In this work, we also present nseveral algebraic operations and also all the mathematical properties associated with this model. In addition to the above, we have presented a clear algorithm based on the matrix properties of this model, which has been used to solve one of the multi-property decision-making problems. Finally, the correlation coefficient for this concept was defined and explained in detail according to an approved mechanism, with a numerical example provided to illustrate the mechanism of use. Moreover, we develop a new algorithm for solving the decision-making issue based on the proposed correlation coefficient for piv-NHSS .
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Jayasudha, J., and S. Raghavi. "Futher Operations on Neutrosophic Hypersoft Matrices and Application in Decision Making." HyperSoft Set Methods in Engineering 2 (October 28, 2024): 119–35. http://dx.doi.org/10.61356/j.hsse.2024.2403.
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The main objective of this paper is to extend the concept of Neutrosophic Hypersoft Matrix theory. Neutrosophic soft matrix parametrically evaluates the attributes chosen whereas Neutrosophic hypersoft matrix can parametrically evaluate the sub-attributes of the attributes chosen. Some notions and operations related to Neutrosophic Hypersoft matrices (NHSMs) such as Row-NHSM, Column-NHSM, Diagonal-NHSM, Proper-NHS submatrix, Disjoint NHSM, Extended union (NHSM), Extended intersection (NHSM), addition, subtraction, AND-product and OR-product on NHSM have been introduced with examples. Further a new NHSM-algorithm has been developed based on value matrix, grace matrix and mean matrix to solve Neutrosophic Hypersoft Set based decision-making problems.
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Zulqarnain, Rana Muhammad, Imran Siddique, Rifaqat Ali, Fahd Jarad, Abdul Samad, and Thabet Abdeljawad. "Neutrosophic Hypersoft Matrices with Application to Solve Multiattributive Decision-Making Problems." Complexity 2021 (June 4, 2021): 1–17. http://dx.doi.org/10.1155/2021/5589874.
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The concept of the neutrosophic hypersoft set (NHSS) is a parameterized family that deals with the subattributes of the parameters and is a proper extension of the neutrosophic soft set to accurately assess the deficiencies, anxiety, and uncertainty in decision-making. Compared with existing research, NHSS can accommodate more uncertainty, which is the most significant technique for describing fuzzy information in the decision-making process. The main objective of the follow-up study is to develop the theory of neutrosophic hypersoft matrix (NHSM). The NHSM is the generalized form of a neutrosophic soft matrix (NSM). Some fundamental operations and score function for NHSMs have been introduced with their desirable properties. Furthermore, we introduce the logical operators such as OR-operator and AND-operator with their fundamental properties in the following research. The necessity and possibility operations for NHSMs have been established. Utilizing the developed score function, a decision-making methodology has been developed to solve the multiattribute decision-making (MADM) problem. To ensure the validity of the proposed approach, a numerical illustration has been described for the selection of competent faculty member. The practicality and effectiveness of the current approach are proved through comparative analysis with the assistance of some existing studies.
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Zulqarnain, Rana Muhammad, Wen Xiu Ma, Imran Siddique, Shahid Hussain Gurmani, Fahd Jarad, and Muhammad Irfan Ahamad. "Extension of aggregation operators to site selection for solid waste management under neutrosophic hypersoft set." AIMS Mathematics 8, no. 2 (2023): 4168–201. http://dx.doi.org/10.3934/math.2023208.
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<abstract> <p>With the fast growth of the economy and rapid urbanization, the waste produced by the urban population also rises as the population increases. Due to communal, ecological, and financial constrictions, indicating a landfill site has become perplexing. Also, the choice of the landfill site is oppressed with vagueness and complexity due to the deficiency of information from experts and the existence of indeterminate data in the decision-making (DM) process. The neutrosophic hypersoft set (NHSS) is the most generalized form of the neutrosophic soft set, which deals with the multi-sub-attributes of the alternatives. The NHSS accurately judges the insufficiencies, concerns, and hesitation in the DM process compared to IFHSS and PFHSS, considering the truthiness, falsity, and indeterminacy of each sub-attribute of given parameters. This research extant the operational laws for neutrosophic hypersoft numbers (NHSNs). Furthermore, we introduce the aggregation operators (AOs) for NHSS, such as neutrosophic hypersoft weighted average (NHSWA) and neutrosophic hypersoft weighted geometric (NHSWG) operators, with their necessary properties. Also, a novel multi-criteria decision-making (MCDM) approach has been developed for site selection of solid waste management (SWM). Moreover, a numerical description is presented to confirm the reliability and usability of the proposed technique. The output of the advocated algorithm is compared with the related models already established to regulate the favorable features of the planned study.</p> </abstract>
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Peng, Xindong, and Florentin Smarandache. "A decision-making framework for China’s rare earth industry security evaluation by neutrosophic soft CoCoSo method." Journal of Intelligent & Fuzzy Systems 39, no. 5 (2020): 7571–85. http://dx.doi.org/10.3233/jifs-200847.
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The rare earth industry is a crucial strategic industry that is related to the national economy and national security. In the context of economic globalization, international competition is becoming increasingly fierce, and the rare earth industry is facing a more severe survival and development environment than ever before. Although China is the greatest world’s rare earth country in rare earth reserves, production, consumption and export volume, it is not a rare earth power. The rare earth industry has no right to speak in the international market. The comparative advantage is weakening and the security of rare earth industry appears. Therefore, studying the rare earth industry security has important theoretical and practical significance. When measuring the China’s rare earth industry security, the primary problem involves tremendous uncertainty. Neutrosophic soft set (NSS), depicted by the parameterized form of truth membership, falsity membership and indeterminacy membership, is a more serviceable pattern for capturing uncertainty. In this paper, five dimensions of rare earth industry security are identified and then prioritized against twelve different criteria relevant to structure, organization, layout, policy and ecological aspects of industry security. Then, the objective weight is computed by CRITIC (Criteria Importance Through Inter-criteria Correlation) method while the integrated weight is determined by concurrently revealing subjective weight and objective weight. Later, neutrosophic soft decision making method based CoCoSo (Combined Compromise Solution) is explored for settling the issue of low discrimination. Lastly, the feasibility and validity of the developed algorithm is verified by the issue of China’s rare earth industry security evaluation.
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Hashmi, Masooma Raza, Syeda Tayyba Tehrim, Muhammad Riaz, Dragan Pamucar, and Goran Cirovic. "Spherical Linear Diophantine Fuzzy Soft Rough Sets with Multi-Criteria Decision Making." Axioms 10, no. 3 (2021): 185. http://dx.doi.org/10.3390/axioms10030185.
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Modeling uncertainties with spherical linear Diophantine fuzzy sets (SLDFSs) is a robust approach towards engineering, information management, medicine, multi-criteria decision-making (MCDM) applications. The existing concepts of neutrosophic sets (NSs), picture fuzzy sets (PFSs), and spherical fuzzy sets (SFSs) are strong models for MCDM. Nevertheless, these models have certain limitations for three indexes, satisfaction (membership), dissatisfaction (non-membership), refusal/abstain (indeterminacy) grades. A SLDFS with the use of reference parameters becomes an advanced approach to deal with uncertainties in MCDM and to remove strict limitations of above grades. In this approach the decision makers (DMs) have the freedom for the selection of above three indexes in [0,1]. The addition of reference parameters with three index/grades is a more effective approach to analyze DMs opinion. We discuss the concept of spherical linear Diophantine fuzzy numbers (SLDFNs) and certain properties of SLDFSs and SLDFNs. These concepts are illustrated by examples and graphical representation. Some score functions for comparison of LDFNs are developed. We introduce the novel concepts of spherical linear Diophantine fuzzy soft rough set (SLDFSRS) and spherical linear Diophantine fuzzy soft approximation space. The proposed model of SLDFSRS is a robust hybrid model of SLDFS, soft set, and rough set. We develop new algorithms for MCDM of suitable clean energy technology. We use the concepts of score functions, reduct, and core for the optimal decision. A brief comparative analysis of the proposed approach with some existing techniques is established to indicate the validity, flexibility, and superiority of the suggested MCDM approach.
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Mesfer, Mesfer. "Blockchain with Single-Valued Neutrosophic Hypersoft Sets Assisted Threat Detection for Secure IoT Assisted Consumer Electronics." International Journal of Neutrosophic Science 25, no. 1 (2025): 160–71. http://dx.doi.org/10.54216/ijns.250114.
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The breakthrough technologies of the Internet of Things (IoT) have modernized classical Consumer Electronics (CE) into next-generation CE with high intelligence and connectivity. This connectivity amongst appliances, actuators, sensors, etc., offers automated control in CE and enables better data availability. However, the data traffic has been exponentially increased owing to its decentralization, diversity, and increasing number of CE devices. Furthermore, the static network-based approaches need exclusive management and manual configuration of CE devices. The generalization of a Neutrosophic Hypersoft Set (NHSS) is a concept of a soft set. This architecture is a mixture of neutrosophic sets with hypersoft sets. Therefore, the study introduce a Blockchain with Single-Valued Neutrosophic Hypersoft Sets Assisted Threat Detection (BCSVNHS-TD) technique for Secure IoT Assisted CE. The presented BCSVNHS-TD technique applies BC technology for secure communication among CEs. For threat detection, the BCSVNHS-TD method introduces the SVNHS model. Also, the parameter selection of the SVNHS method takes place using the chicken swarm optimization (CSO) technique. An extensive set of tests was involved for exhibiting the better effiency of the BCSVNHS-TD method. The experimental results emphasized that the BCSVNHS-TD method reaches optimal results over other techniques
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Palanikumar, M., Aiyared Iampan, and Said Broumi. "MCGDM based on VIKOR and TOPSIS proposes neutrsophic Fermatean fuzzy soft with aggregation operators." International Journal of Neutrosophic Science 19, no. 3 (2022): 85–94. http://dx.doi.org/10.54216/ijns.190308.
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In this study, we presented a new generalization of the Fermatean interval valued fuzzy soft set (FIVFSS) and the neutrosophic interval valued soft set called the neutrsophic Fermatean interval valued soft set (NSFIVSS). The NSFIVSS decision matrix aggregated operations are the topic of our current discussion. Strong points of view for the generalization of the interval valued fuzzy soft set (IVFSS) known as multi-criteria group decision making (MCGDM) are the TOPSIS and VIKOR techniques. We discuss a score function that combines TOPSIS, VIKOR, and NSFIVSS-positive ideal solution (PIS) and NSFIVSS-negative ideal solution (NIS) techniques. The TOPSIS and VIKOR methods also offer decision-making weights. The nearness condition is used to determine the best alternative. An educational trust intends to give some money to those underdeveloped schools since they lack amenities like restrooms, a campus environment that is favorable to learning, sports equipment, and classroom furnishings like desks and lights. In order to lower the factor, they declared a payment to be made in the amounts of 30, 25, 20, 15, and 10. Find the top five under performing schools in the state.
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Fadoua, Fadoua. "Design of Single Valued Neutrosophic Hypersoft Set VIKOR Method for Hedge Fund Return Prediction." International Journal of Neutrosophic Science 24, no. 2 (2024): 317–27. http://dx.doi.org/10.54216/ijns.240228.
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The theory of neutrosophic hypersoft set (NHSS) is an appropriate extension of the neutrosophic soft set to precisely measure the uncertainty, anxiety, and deficiencies in decision-making and is a parameterized family that handles sub-attributes of the parameters. In contrast to recent studies, NHSS could accommodate more uncertainty, which is the essential procedures to describe fuzzy data in the decision-making method. Hedge funds are financial funds, finance institutions that increase funds from stockholders and accomplish them. Usually, they try to make certain predictions and work with the time sequence dataset. A hedge fund is heterogeneous in its investment strategies and invests in a different resource class with various return features. Furthermore, hedge fund strategy is idiosyncratic and proprietary to the hedge fund manager, and the correct skills of fund managers are not visible to the stockholders. These reasons, united, make hedge fund selection a complex task for the stockholders. Different techniques have been analyzed to select the portfolio of hedge funds for investment. Machine-learning (ML) models employed used for performing individual hedge fund selection within hedge fund style classifications and forecasting hedge fund returns. Therefore, this study designs a new Single Valued Neutrosophic Hypersoft Set VIKOR Model for Hedge Fund Return Prediction (SVNHSS-HFRP) technique. The presented SVNHSS-HFRP technique aims to forecast the hedge fund returns proficiently. In the SVNHSS-HFRP technique, two stages of operations are involved. At the initial stage, the SVNHSS-HFRP technique, the SVNHSS is used for forecasting the hedge funds. Next, in the second stage, the moth flame optimization (MFO) system is applied to optimally choose the parameter values of the SVNHSS model. The performance validation of the SVNHSS-HFRP model is verified on a benchmark dataset. The experimental values highlighted that the SVNHSS-HFRP technique reaches better performance than existing techniques
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Samad, Abdul, Rana Muhammad Zulqarnain, Emre Sermutlu, et al. "Selection of an Effective Hand Sanitizer to Reduce COVID-19 Effects and Extension of TOPSIS Technique Based on Correlation Coefficient under Neutrosophic Hypersoft Set." Complexity 2021 (May 31, 2021): 1–22. http://dx.doi.org/10.1155/2021/5531830.
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Correlation coefficients are used to tackle many issues that include indistinct as well as blurred information excluding is not able to deal with the general fuzziness along with obscurity of the problems that have various information. The correlation coefficient (CC) between two variables plays an important role in statistics. Likewise, the accuracy of relevance assessment depends on the information in a set of discourses. The data collected for numerous statistical studies is full of exceptions. The concept of the neutrosophic hypersoft set (NHSS) is a parameterized family that deals with the subattributes of the parameters and is a proper extension of the neutrosophic soft set to accurately assess the deficiencies, anxiety, and uncertainty in decision-making. Compared with existing research, NHSS can accommodate more uncertainty, which is the most significant technique for describing fuzzy information in the decision-making process. The core objective of follow-up research is to develop the concept and characteristics of CC and the weighted correlation coefficient (WCC) of NHSS. We also introduced some aggregation operators in the considered environment, which can help us establish a prioritization technique for order preference by similarity to the ideal solution (TOPSIS) based on CC and WCC under NHSS. A decision-making strategy is established to solve multicriteria group decision-making (MCGDM) problems utilizing developed methodology. Moreover, the proposed method is utilized for the selection of an effective hand sanitizer during the COVID-19 pandemic to ensure the validity of the proposed approach. The practicality, effectivity, and flexibility of the current approach are proved through comparative analysis with the assistance of some existing studies.
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Raja, K., P. Maragatha Meenakshi, N. Rajesh, et al. "New type neutrosophic set applied to power aggregating operators." International Journal of Neutrosophic Science 23, no. 3 (2024): 220–32. http://dx.doi.org/10.54216/ijns.230319.
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We introduce the new type neutrosophic set (NS) problems relevant to multiple attribute decision making (MADM). Pythagorean fuzzy set (PFS) and neutrosophic set (NS) can be extended into new type neutrosophic set. We discusses new type neutrosophic weighted averaging (New type NWA), new type neutrosophic weighted geometric (New type NWG), generalized new type neutrosophic weighted averaging (new type GNWA) and generalized new type neutrosophic weighted geometric (new type GNWG). A number of algebraic properties of new type NSs have been established such as associativity, distributivity and idempotency.
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Acikgoz, Ahu, та Ferhat Esenbel. "Neutrosophic soft δ-topology and neutrosophic soft δ-compactness". Filomat 34, № 10 (2020): 3441–58. http://dx.doi.org/10.2298/fil2010441a.
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We introduce the concepts of neutrosophic soft ?-interior, neutrosophic soft quasi-coincidence, neutrosophic soft q-neighbourhood, neutrosophic soft regular open set, neutrosophic soft ?-closure, neutrosophic soft ?-closure and neutrosophic soft semi open set. It is also shown that the set of all neutrosophic soft ?-open sets is a neutrosophic soft topology, which is called the neutrosophic soft ?-topology. We obtain equivalent forms of neutrosophic soft ?-continuity. Moreover, the notions of neutrosophic soft ?-compactness and neutrosophic soft locally ?-compactness are defined and their basic properties under neutrosophic soft ?-continuous mappings are investigated.
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S., Ganesan S. Jafari and M. H. Page. "A new approach to neutrosophic soft set minimal structure spaces." Annals of Communications in Mathematics 5, no. 3 (2022): 181–93. https://doi.org/10.5281/zenodo.10058360.
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This chapter is an introduction of neutrosophic soft set minimal structure space and addresses properties of neutrosophic soft set minimal structure space. Neutrosophic set has plenty of applications. Moreover, we introduced neutrosophic soft set minimal closed set , neutrosophic soft set minimal open set, neutrosophic soft set minimal interior of (Fe, E), neutrosophic soft set minimal closure of (Fe, E), NSSm(Fe, E)- continuous, NSSm(Fe, E)-T0, NSSm(Fe, E)-T1, NSSm(Fe, E)-T2, NSSm(Fe, E)-compact, almost NSSm(Fe, E)-compact. We also present some of their basic properties.
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Areen, Areen, Belal Batiha, Areen Al Al-khateeb, Hamzeh .., Abedallah Al .., and Khaldoun Batiha. "Possibility Fermatean Neutrosophic Soft Set." International Journal of Neutrosophic Science 24, no. 4 (2024): 105–25. http://dx.doi.org/10.54216/ijns.240408.
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In this paper, we introduce the concept of Possibility Fermatean Neutrosophic Soft Set and define some related concepts such as Possibility Fermatean Neutrosophic Soft subset, Possibility Fermatean Neutrosophic Soft null set, and Possibility Fermatean Neutrosophic Soft universal set. Then, we define set-theoretical operations of Possibility Fermatean Neutrosophic Soft Sets such as union, intersection, and complement, and investigate some properties of these operations. We also introduce AND-product and OR-product operations between two Possibility Fermatean Neutrosophic Soft Sets. We propose a decision-making method called the Possibility Fermatean Neutrosophic Soft decision-making method (PFNS-decision-making method) which can be applied to decision-making problems involving uncertainty based on AND-product operation. We finally give a numerical example to display the application of the method that can be successfully applied to the problems.
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Broumi, S., and T. Witczak. "Heptapartitioned neutrosophic soft set." International Journal of Neutrosophic Science 18, no. 4 (2022): 270–90. http://dx.doi.org/10.54216/ijns.180423.
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The aim of this paper is to introduce the concept of heptapartitioned neutrosophic soft set and to study some of its basic properties. This kind of set can be considered as a significant extension of the idea of neutrosophic set. In general, our research is based on the earlier study presented by Radha and Stanis Arul Mary in 2021. However, we combine their initial definition with the inspiring notion of soft set (which has been established by Molodtsov in 1999). We examine algebraic operations on our sets. Then we show that the particular choose of exactly seven neutrosophic logical values has an interesting interpretation in terms of ancient Jaina logic (which has been developed centuries ago in India to deal with imprecise knowledge and the matter of paraconsistency). Moreover, we exhibit some other potential practical applications of our theoretical concept. For example, it can be applied in widely understood social sciences.
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Broumi, Said. "Generalized Neutrosophic Soft Set." International Journal of Computer Science, Engineering and Information Technology 3, no. 2 (2013): 17–30. http://dx.doi.org/10.5121/ijcseit.2013.3202.
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admin, admin, Hamzeh Zureigat, Belal Batiha, Areen Al Al-khateeb, and Abedallah Al Al-shboul. "Fermatean Neutrosophic Soft Set." International Journal of Neutrosophic Science 25, no. 3 (2025): 469–88. http://dx.doi.org/10.54216/ijns.250339.
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This paper aims to introduce a new concept which is Fermatean Neutrosophic Soft Set (FNSS), which is a combination of the Neutrosophic soft sets and Fermatean Fuzzy Sets. Some operations and properties of the new model, including complement, restricted union, and extended intersection are discussed. Further, an application of FNSS is modeled for multiple attribute decision-making and solved with the help of our newly launched algorithm, that is, the selection of the most attractive laptop based on a computer simulation report. Finally, a comparative analysis between the initiated FNSS model and some existing approaches is provided to show its reliability.
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Cruz, R. Anitha, and F. Nirmala Irudayam. "Neutrosophic Soft Cubic Set." International Journal of Mathematics Trends and Technology 46, no. 2 (2017): 88–94. http://dx.doi.org/10.14445/22315373/ijmtt-v46p515.
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Mehmood, Arif, Samer Al Ghour, Muhammad Ishfaq, and Farkhanda Afzal. "A look at soft neutrosophic spaces." Journal of Intelligent & Fuzzy Systems 41, no. 6 (2021): 6473–94. http://dx.doi.org/10.3233/jifs-210306.
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In this article, new definition of neutrosophic soft ** b-open set is introduced with the help of neutrosophic soft α-open set and neutrosophic soft β-open set. With the application of this new definition some neutrosophic soft separation axioms and neutrosophic soft other separation axioms are addressed with respect to soft points of the spaces. Suitable examples are provided for the clarification of different results. Soft countability results and its engagements with different other neutrosophic soft results are studied. In continuation, characterization of Bolzano Weirstrass Property with respect to neutrosophic soft results and neutrosophic soft compactness results are inaugurated.
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R. Anitha Cruz and F. Nirmala Irudayam. "More on R-Union and R-Intersection of Neutrosophic Soft Cubic Set." Mathematical Journal of Interdisciplinary Sciences 6, no. 2 (2018): 93–117. http://dx.doi.org/10.15415/mjis.2018.62008.
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R-unions and R-intersections, R-OR, R-AND of Neutrosophic soft cubic sets are introduced and related properties are investigated. We show that the R-union (R-intersection) of internal neutrosophic soft cubic set is also an internal neutrosophic soft cubic set. We show that the R-union and the R-intersection T-external (I-external, F-external) neutrosophic soft cubic sets are also T-external ( I-external, F-external) neutrosophic soft cubic sets. The conditions for the R-intersection of two cubic soft sets to be both an external neutrosophic soft cubic set and an internal neutrosophic soft cubic set. Further we provide a condition for the R- intersection and R union of two T-internal (I-internal, F-internal) neutrosophic soft cubic sets are T-external (I-external, F-external) neutrosophic soft cubic sets.
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Khalil, Ahmed Mostafa, Dunqian Cao, Abdelfatah Azzam, Florentin Smarandache, and Wedad R. Alharbi. "Combination of the Single-Valued Neutrosophic Fuzzy Set and the Soft Set with Applications in Decision-Making." Symmetry 12, no. 8 (2020): 1361. http://dx.doi.org/10.3390/sym12081361.
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In this article, we propose a novel concept of the single-valued neutrosophic fuzzy soft set by combining the single-valued neutrosophic fuzzy set and the soft set. For possible applications, five kinds of operations (e.g., subset, equal, union, intersection, and complement) on single-valued neutrosophic fuzzy soft sets are presented. Then, several theoretical operations of single-valued neutrosophic fuzzy soft sets are given. In addition, the first type for the fuzzy decision-making based on single-valued neutrosophic fuzzy soft set matrix is constructed. Finally, we present the second type by using the AND operation of the single-valued neutrosophic fuzzy soft set for fuzzy decision-making and clarify its applicability with a numerical example.
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Mehmood, Arif, Saleem Abdullah, Mohammed M. Al-Shomrani, Muhammad Imran Khan, and Orawit Thinnukool. "Some Results in Neutrosophic Soft Topology Concerning Neutrosophic Soft ∗ b Open Sets." Journal of Function Spaces 2021 (May 24, 2021): 1–15. http://dx.doi.org/10.1155/2021/5544319.
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In this article, new generalised neutrosophic soft open known as neutrosophic soft ∗ b open set is introduced in neutrosophic soft topological spaces. Neutrosophic soft ∗ b open set is generated with the help of neutrosophic soft semiopen and neutrosophic soft preopen sets. Then, with the application of this new definition, some soft neutrosophical separation axioms, countability theorems, and countable space can be Hausdorff space under the subjection of neutrosophic soft sequence which is convergent, the cardinality of neutrosophic soft countable space, engagement of neutrosophic soft countable and uncountable spaces, neutrosophic soft topological features of the various spaces, soft neutrosophical continuity, the product of different soft neutrosophical spaces, and neutrosophic soft countably compact that has the characteristics of Bolzano Weierstrass Property (BVP) are studied. In addition to this, BVP shifting from one space to another through neutrosophic soft continuous functions, neutrosophic soft sequence convergence, and its marriage with neutrosophic soft compact space, sequentially compactness are addressed.
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Qamar, Majdoleen, and Nasruddin Hassan. "Generalized Q-Neutrosophic Soft Expert Set for Decision under Uncertainty." Symmetry 10, no. 11 (2018): 621. http://dx.doi.org/10.3390/sym10110621.
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Neutrosophic triplet structure yields a symmetric property of truth membership on the left, indeterminacy membership in the centre and false membership on the right, as do points of object, centre and image of reflection. As an extension of a neutrosophic set, the Q-neutrosophic set was introduced to handle two-dimensional uncertain and inconsistent situations. We extend the soft expert set to generalized Q-neutrosophic soft expert set by incorporating the idea of soft expert set to the concept of Q-neutrosophic set and attaching the parameter of fuzzy set while defining a Q-neutrosophic soft expert set. This pattern carries the benefits of Q-neutrosophic sets and soft sets, enabling decision makers to recognize the views of specialists with no requirement for extra lumbering tasks, thus making it exceedingly reasonable for use in decision-making issues that include imprecise, indeterminate and inconsistent two-dimensional data. Some essential operations namely subset, equal, complement, union, intersection, AND and OR operations and additionally several properties relating to the notion of generalized Q-neutrosophic soft expert set are characterized. Finally, an algorithm on generalized Q-neutrosophic soft expert set is proposed and applied to a real-life example to show the efficiency of this notion in handling such problems.
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Al-Quran, Ashraf Al, Abd Ghafur .., Faisal Al Al-Sharqi, and Abdalwali Lutfi. "Q-Complex Neutrosophic Set." International Journal of Neutrosophic Science 20, no. 2 (2023): 08–19. http://dx.doi.org/10.54216/ijns.200201.
Full textAbstract:
Most complex problems in the real-world typically involve uncertain,incomplete and indeterminate two-dimen sional data i.e. information pertaining to the attributes and the periodicity of the problem parameters. To meet the demand for models that has the ability to handle these information with these characteristics, the introduction of neutrosophic sets (NSs) was followed by their extension to the complex neutrosophic sets (CNSs). In this paper, we introduce the concept of Q- complex neutrosophic set (Q-CNS) by extending the ranges of the membership functions in Q-neutrosophic set (Q-NS) from [0,1] to the unit circle in the complex plane. Q-CNS plays a key role in the decision making theory, where the extra information provided by the elements of the Q-set serve in modeling of some decision making problems. Based on this new concept we define the basic theoretical operations such as complement, equality, subset, union, intersection, Q-complex neutrosophic product and Cartesian product. Some related examples are also given to enhance the understanding of the proposed concepts. The basic properties of these operators are also verified with supporting proofs.
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Suman, Das, and Pramanik Surapati. "Neutrosophic Simply Soft Open Set in Neutrosophic Soft Topological Space." December 1, 2020. https://doi.org/10.5281/zenodo.4300505.
Full textAbstract:
In this paper, we introduce the notion of Neutrosophic Simply Soft Open (NSS-O) set, Neutrosophic Simply Soft (NSS) compact set in Neutrosophic Soft Topological Spaces (NS-TS) and investigate several properties of it. Also, we furnish the proofs of some theorems associated with NSS-compact spaces. Then, the notion of neutrosophic simply soft continuous (NSS-continuous) mapping, NSS-O mapping on an NS-TS and its properties are developed here.
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Aiyared, Iampan, Muhammad Zulqarnain Rana, Siddique Imran, and Abd ElWahed Khalifa Hamiden. "A Decision-Making Approach Based on Correlation Coefficient For Generalized multi-Polar Neutrosophic Soft Set." October 2, 2022. https://doi.org/10.5281/zenodo.7135279.
Full textAbstract:
The paper proposes the generalized version of the multipolar neutrosophic soft set. The neutrosophic soft set (NSS) is an advanced extension of the neutrosophic set, which accommodates the alternatives' parametrized values. This paper extends the NSS to generalized multipolar NSS and introduces some fundamental operations for generalized multipolar NSS with their necessary properties. We define the correlation coefficient (CC) and weighted correlation coefficient (WCC) for the generalized multi-polar neutrosophic soft set. Several desirable properties for CC and WCC and their relationship are derived. Finally, based on established correlation measures, a decisionmaking algorithm under the neutrosophic environment is stated to tackle uncertain and vague information. The applicability of the proposed algorithm is demonstrated through a case study of the decision-making problem. A comparative analysis with several existing studies reveals the effectiveness of the approach.
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Al-Hijjawi, Sumyyah, Abd Ghafur Ahmad, and Shawkat Alkhazaleh. "From Neutrosophic Soft Set to Effective Neutrosophic Soft Set Generalizations and Applications." International Arab Journal of Information Technology 21, no. 3 (2024). http://dx.doi.org/10.34028/iajit/21/3/13.
Full textAbstract:
The Neutrosophic Soft Set (NSS) is an advanced and highly effective expansion of soft sets, specifically designed to handle parameterized values of alternatives. As an enhanced version of fuzzy soft sets, it provides a novel mathematical framework that offers significant advantages in dealing with uncertain information. This model is created by merging soft sets and neutrosophic sets, providing a robust approach to uncertainty management. Various algorithms have been proposed for making neutrosophic decisions using NSSs. However, these algorithms neglect external effective that influence the Decision-Making (DM) process, focusing solely on parameters. To address this issue, the article introduces the concept of Effective Neutrosophic Soft Sets (ENSSs). Additionally, we extend and generalize the innovative concept of Effective Fuzzy Soft Sets (EFSSs) to accommodate three independent membership criteria, aiming to enhance effectiveness and realism. We also introduce operations on ENSSs, including subset, complement, union, intersection, AND, and OR, which are defined along with illustrative examples. Furthermore, we examine some of its properties. Moreover, we present applications of this concept in DM problems and Medical Diagnosis (MD)
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Muhammad, Akram, M. Malik Hafsa, Shahzadi Sundas, and Smarandache Florentin. "Neutrosophic Soft Rough Graphs with Application." September 7, 2018. https://doi.org/10.5281/zenodo.1410879.
Full textAbstract:
Neutrosophic sets (NSs) handle uncertain information while fuzzy sets (FSs) and intuitionistic fuzzy sets (IFs) fail to handle indeterminate information. Soft set theory, neutrosophic set theory, and rough set theory are different mathematical models for handling uncertainties and they are mutually related.
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Tuhin, Bera, Broumi Said, and Kumar Mahapatra Nirmal. "Behaviour of ring ideal in neutrosophic and soft sense." April 6, 2019. https://doi.org/10.5281/zenodo.2631484.
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This article enriches the idea of neutrosophic soft ideal (NSI). The notion of neutrosophic soft prime ideal (NSPI) is also introduced here. The characteristics of both NSI and NSPI are investigated. Their relations are drawn with the concept of ideal and prime ideal in crisp sense. Any neutrosophic soft set (Nss) can be made into NSI or NSPI using the respective cut set under a situation. The homomorphic characters of ideal and prime ideal in this new class are also drawn critically.
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Sujit, Das, Kumar Saurabh, Kar Samarjit, and Pal Tandra. "Group decision making using neutrosophic soft matrix: An algorithmic approach." May 20, 2019. https://doi.org/10.5281/zenodo.3052233.
Full textAbstract:
This article proposes an algorithmic approach for group decision making (GDM) problems using neutrosophic soft matrix (NSM) and relative weights of experts. NSM is the matrix representation of neutrosophic soft sets (NSSs), where NSS is the combination of neutrosophic set and soft set. We propose a new idea for assigning relative weights to the experts based on cardinalities of NSSs. The relative weight is assigned to each of the experts based on their preferred attributes and opinions, which reduces the chance of unfairness in the decision making process.
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Irfan, Deli, and Broumi Said. "Neutrosophic soft matrices and NSM-decision making." April 26, 2015. https://doi.org/10.5281/zenodo.23126.
Full textAbstract:
In this paper, we have firstly redefined the notion of neutrosophic soft set and its operations in a new way to handle the indeterminate information and inconsistent information which exists commonly in belief systems. Then, we defined neutrosophic soft matrix and their operators which are more functional to make theoretical studies and application in the neutrosophic soft set theory. The matrix is useful for storing a neutrosophic soft set in computer memory which are very useful and applicable. We finally construct a decision making method, called NSM-decision making, based on the neutrosophic soft sets.
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Sudan, Jha, Kumar Raghvendra, Hoang Son Le, et al. "Neutrosophic soft set decision making for stock trending analysis." September 7, 2018. https://doi.org/10.5281/zenodo.1410886.
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In this paper, we point out a major issue of stock market regarding trending scenario of trades where data exactness, accuracy of expressing data and uncertainty of values (closing point of the day) are lacked. We use neutrosophic soft sets (NSS) consisting of three factors (True, Uncertainty and False) to deal with exact state of data in several directions.
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Sumyyah, Al-Hijjawi, and Alkhazaleh Shawkat. "Possibility Neutrosophic Hypersoft Set (PNHSS)." January 14, 2023. https://doi.org/10.5281/zenodo.7535981.
Full textAbstract:
Soft set developed by Smarandache in 2018 to Hypersoft set (HSS) to deal with multiargument approximate functions. The soft set cannot deal with cases when attributes are required to be further divided into disjoint attribute-valued sets. Neutrosophic Hypersoft Set (NHSS) is the most effective and useful method to handle the environment which involved more than one attribute. Neutrosophic Hypersoft Set introduced by combining Hypersoft Set and Neutrosophic Soft Set. In this paper, we first define the concept of Possibility Neutrosophic Hypersoft Set (PNHSS in short) which is combination of PNSS and HSS. Certain essential basic characteristics as subset, equal and complement are studied with illustrative examples. Basic operations such as: union, intersection and some properties such as commutative, associative, distributive low and De Morgan’s low are discussing. Also, we introduce AND and OR operation of PNHSS with suitable examples and some propositions.
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Rana, Muhammad Zulqarnain, Long Xin Xiao, Saqlain Muhammad, and Smarandache Florentin. "Generalized Aggregate Operators on Neutrosophic Hypersoft Set." October 4, 2020. https://doi.org/10.5281/zenodo.4065445.
Full textAbstract:
Multi-criteria decision making (MCDM) is concerned about coordinating as well as looking after selection as well as planning problems which included multi-criteria. The neutrosophic soft set cannot handle the environment which involved more than one attribute. To overcome those hurdles neutrosophic hypersoft set (NHSS) is defined. In this paper, we proposed the generalized aggregate operators on NHSS such as extended union, extended intersection, OR-operation, ANDoperation, etc. with their properties. Finally, the necessity and possibility operations on NHSS with suitable examples and properties are presented in the following research.
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Faisal, Al-Sharqi, Ghafur Ahmad Abd, and Al-Quran Ashraf. "Similarity Measures on Interval-Complex Neutrosophic Soft Sets with Applications to Decision Making and Medical Diagnosis under Uncertainty." October 2, 2022. https://doi.org/10.5281/zenodo.7135362.
Full textAbstract:
The idea of an interval complex neutrosophic soft set (I-CNSS) emerges from the interval neutrosophic soft set (I-NSS) by the extension of its three membership functions (T, I, F) from real space to complex space (unit disc) to better handle uncertainties, vagueness, indeterminacy, and imprecision of information in the periodic nature. The novelty of I-CNSS lies in its more significant range of activity compared to CNS. Measures of similarity and distance are important tools that can be used to solve many problems in real life. Hence, this paper presents some interval complex neutrosophic soft similarities based on Hamming and Euclidean distances of I-CNSSs to deal with real-life problems that include uncertain information such as decision-making issues and medical diagnosis stats. Firstly, this paper reviews the definition of an interval complex neutrosophic soft set. Secondly, we defined distance Hamming measures and distance Euclidean measures on I-CNSSs . Next, the axiomatic definition of similarity measures based on Hamming and Euclidean distances of I-CNSSs is proposed. Moreover, a numerical example is given and relations between these measures are introduced and verified. Meanwhile, some applications are given to show how similarity can be used to help the user in making decisions and making medical diagnoses. Finally, a comparison of some current approaches is used to back up this study.
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Muhammad, Saqlain, and Long Xin Xiao. "Interval Valued, m-Polar and m-Polar Interval Valued Neutrosophic Hypersoft Sets." October 4, 2020. https://doi.org/10.5281/zenodo.4065475.
Full textAbstract:
Decision making is a complex issue due to vague, imprecise and indeterminate environment specially, when attributes are more than one, and further bifurcated. To solve such type of problems, concept of neutrosophic hypersoft set (NHSS) was proposed [1]. The purpose of this paper is to provide the extension of NHSS into: Interval Valued, m-Polar and m-Polar interval valued Neutrosophic Hypersoft sets. The definitions of proposed extensions and mathematical operations are discussed in detail with suitable examples. Finally, concluded the present work with the future direction.
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Aiyared, Iampan1, Abd El-Wahed Khalifa Hamiden, Siddique Imran, and Muhammad Zulqarnain Rana. "An MCDM Technique Using Cosine and Set-Theoretic Similarity Measures for Neutrosophic hypersoft set." June 29, 2022. https://doi.org/10.5281/zenodo.6774662.
Full textAbstract:
A similarity measure is used to tackle many issues that include indistinct and blurred information, excluding is not able to deal with the general fuzziness and obscurity of the problems that have various information. The neutrosophic hypersoft set is the most generalized and advanced extension of neutrosophic sets, which deals with the multi sub-attributes of the considered parameters. In this paper, we study some basic concepts which are helpful to build the structure of the article, such as soft set, neutrosophic soft set, hypersoft set, and neutrosophic hypersoft set, etc. The main objective of the present research is to develop a cosine similarity measure and set-theoretic similarity measure for an NHSS with their necessary properties. A decision-making approach has been established by using cosine and set-theoretic similarity measures. Furthermore, we used to develop a technique to solve multi-criteria decision-making problems. Finally, the advantages, effectiveness, flexibility, and comparative analysis of the algorithms are given with prevailing methods.
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Murugadas, P., and M. Kavitha. "Solvability of System of Neutrosophic Soft Linear Equations." February 18, 2021. https://doi.org/10.5281/zenodo.4549410.
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This article exposes a system of Neutrosophic Soft Linear Equations (NSLE) of the form A ⊗ x = b and is said to be solvable if A ⊗ x(A; b) = b holds, otherwise unsolvable. We derive conditions under which the above system is solvable and further using Chebychev Approximation we find a prinicipal solution if the given systen is not solvable.
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Rana, Muhammad Zulqarnain, Siddique Imran, Ahmad Shahzad, Ayaz Sehrish, and Broumi Said. "An Algorithm Based on Correlation Coefficient Under Neutrosophic hypersoft set environment with its Application for Decision-Making." October 7, 2021. https://doi.org/10.5281/zenodo.5553502.
Full textAbstract:
The correlation coefficient among the two parameters plays a significant part in statistics. Further, the exactness in the assessment of correlation depends upon information from the set of discourse. The data collected for various statistical studies is full of ambiguities. In this paper, we discuss some basic concepts which are helpful to build the structure of present research such as soft set, hypersoft set, and neutrosophic hypersoft set (NHSS). The neutrosophic hypersoft set is an extension of the neutrosophic soft set. In it, we establish the idea of correlation and weighted correlation coefficients with some desirable properties under NHSS. We also, propose a new decision-making technique and construct an algorithm based on developed correlation measures. Furthermore, To ensure the applicability of the proposed methods an illustrative example is given.
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Rana, Muhammad Zulqarnain, Long Xin Xiao, Saqlain Muhammad, Saeed Muhammad, Smarandache Florentin, and Irfan Ahamad Muhammad. "Some Fundamental Operations on Interval Valued Neutrosophic Hypersoft Set with Their Properties." February 18, 2021. https://doi.org/10.5281/zenodo.4549352.
Full textAbstract:
Multi-criteria decision-making (MCDM) focuses on coordination, choice and planning issues, including multi-criteria. the neutrosophic soft set cannot handle environments involving multiple attributes. In order to overcome these obstacles, the neutrosophic hypersoft set (NHSS) and Interval Value neutrosophic hypersoft set (IVNHSS) are defined. In this paper, we extend the concept of IVNHSS with basic properties. We also developed some basic operations on IVNHSS such as union, intersection, addition, difference, Truth-favorite, and False-favorite, etc. with their desirable properties. Finally, the necessity and possibility operations on IVNHSS with properties are presented in the following research
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Rana, Muhammad Zulqarnain, Long Xin Xiao, Ali Bagh, Broumi Said, Abdal Sohaib, and Irfan Ahamad Muhammad. "Decision-Making Approach Based on Correlation Coefficient with its Properties Under Interval-Valued Neutrosophic hypersoft set environment." February 18, 2021. https://doi.org/10.5281/zenodo.4549309.
Full textAbstract:
The correlation coefficient between two variables plays an essential part in statistics. In addition, the preciseness in the assessment of correlation relies on information from the set of discourse. The data collected for various statistical studies is full of ambiguities. In this article, we investigated some fundamental concepts that strengthen the current research structure, such as soft sets, hypersoft sets, neutrosophic hypersoft set (NHSS), and interval-valued neutrosophic hypersoft set (IVNHSS). The IVNHSS is an extension of the interval-valued neutrosophic soft set. The main objective of this paper is to develop the concept of correlation and weighted correlation coefficients for IVNHSS. We also, discuss the desirable properties of correlation and weighted correlation coefficients under the IVNHSS environment in the following research. Also, develop a decisionmaking technique based on the proposed correlation coefficient. Through the developed methodology, a technique for solving decision-making concerns is planned. Moreover, an application of the projected methods is presented for the selection of a medical superintendent in a public hospital.
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Muhammad, Saqlain, Naveed Jafar Muhammad, and Riaz Muhammad. "A New Approach of Neutrosophic Soft Set with Generalized Fuzzy TOPSIS in Application of Smart Phone Selection." March 21, 2020. https://doi.org/10.5281/zenodo.3723161.
Full textAbstract:
With the invention of new technologies, the competition elevates in market. Therefore, it creates more difficulties for consumer to select the right smart phone. In this paper, a new approach is proposed to select smart phone, in which environment of decision making is MCDM. Firstly, an algorithm is proposed in which problem is formulated in the form of neutrosophic soft set and then solved with generalized fuzzy TOPSIS (GFT). Secondly, rankings are compared with [10]. Finally, it is concluded that proposed approach is applicable in decision-making where uncertainty and imprecise information-based environment is confronted. In future, this evolutionary algorithm can be used along with other methodologies to solve MCDM problems. Keywords: Accuracy Function, MCDM, TOPSIS, Mobile Phone, Soft set, Neutrosophic Numbers NNs, Neutrosophic Soft set, Linguistic Variable.
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Zhao, Jingfeng, Bo Li, Atiqe Ur Rahman, and Muhammad Saeed. "An intelligent multiple-criteria decision-making approach based on sv-neutrosophic hypersoft set with possibility degree setting for investment selection." Management Decision, May 31, 2022. http://dx.doi.org/10.1108/md-04-2022-0462.
Full textAbstract:
PurposeThe main purpose of this article is to characterize a novel neutrosophic hypersoft set hybrid called possibility single-valued neutrosophic hypersoft set (psv-NHSS) for evaluation of investment projects by using its aggregation operations and decision-support system.Design/methodology/approachTwo approaches are employed in this article: set-theoretic approach and algorithmic approach. The former one is used to characterize the novel notion of psv-NHSS and its aggregations. The later one is used to construct a decision-support system by using the aggregations like core matrix, maximum-valued decision, minimum-valued decision and scoring-valued decision of psv-NHSS. The adopted algorithm is implemented in real-world scenario of hydroelectric power station project evaluation for investment purpose.FindingsThe proposed model is more flexible and reliable as it addresses the limitations of literature on neutrosophic set, neutrosophic soft set and other fuzzy set-like models by considering possibility degree, hypersoft setting and neutrosophic setting collectively.Research limitations/implicationsIt has limitations for decision-making situations where selection of parameters is of uncertain nature.Practical implicationsThe scope of this study may cover a wide range of applications in many fields of mathematical sciences like artificial intelligence, optimization, multiple-criteria decision-making (MCDM), theoretical computer science, soft computing, mathematical statistics, etc.Originality/valueThe proposed model bears the characteristics of most of the relevant existing models collectively and fulfills their insufficiencies by introducing a novel approximate mapping.
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Rana, Muhammad Zulqarnain, Iampan Aiyared, Abd El-Wahed Khalifa Hamiden, and Siddique Imran. "similarity measures for interval-valued neutrosophic hypersoft set with their application to solve decision making problem." October 22, 2022. https://doi.org/10.5281/zenodo.7348929.
Full textAbstract:
A similarity measure is used to tackle many issues that include indistinct and blurred information, excluding is not able to deal with the general fuzziness and obscurity of the problems that have various information. In this paper, we study some basic concepts which are helpful for us to build the structure of the article, such as soft set, neutrosophic soft set, hypersoft set, neutrosophic hypersoft set (NHSS), and interval-valued NHSS, etc. The main objective of the present research is to develop a cosine similarity measure and set-theoretic similarity measure for an IVNHSS with their necessary properties. A decision-making approach has been established by using cosine and set-theoretic similarity measures. Furthermore, we used to develop a technique to solve multicriteria decision-making problems. Finally, the advantages, effectiveness, flexibility, and comparative analysis of the algorithms are given with prevailing methods.
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Chinnadurai, Verappan, and Albert Bobin. "Single-valued neutrosophic N -soft set and intertemporal single-valued neutrosophic N -soft set to assess and pre-assess the mental health of students amidst COVID-19." December 1, 2020. https://doi.org/10.5281/zenodo.4300417.
Full textAbstract:
Stress binds everyone as we face uncertainty in our lives. So, it is notable that we experience anxiety during this coronavirus disease (COV ID − 19) pandemic context. When we try to handle stress for longer duration leads to chronic, and it can affect both physical and mental health. The scientific techniques to precisely pre-assess or assess mental health disorders are hardly available for the students. This paper intends to provide an explication to pre-assess or assess the mental health of the students amidst this pandemic. We present the notions of single-valued neutrosophic N-soft set (SV NNSS) and the quasi-hyperbolic discounting intertemporal single-valued neutrosophic N-soft set (QHDISV NNSS) to show the mental condition of the students. Design- We develop a four-phase method to pre-assess or assess the mental health disorders of students. In the initial phase, we present an outline to identify the students, parameters, and the psychosocial aspects of the students. Also, we provide the framework of positive and negative statements for each parameter, rating scales, and scoring norms. In the second phase, we execute case studies based on observation of the students and mention the values using neutrosophic numbers for each counseling session with no loss of information. Then we apply the concept of score function (SF) and weighted single-valued neutrosophic vector (WSV NV ). In the third phase, we construct SV NNSS or QHDISV NNSS to access or pre-access the mental health of the students. Finally, we assess the scores of each student with the help of norms and predict mental health disorders. Results- Using SV NNSS, we can assess the mental health of the students and able to pre-assess the mental health of the students by using QHDISV NNSS. Hence, this result supports the psychiatrist or the counselor to focus on those with mental health conditions, as they are known to experience a higher level of emotional distress. Contributions- This study shows how the significance of the neutrosophic concept can be modified and implemented in the psychology field to determine the mental health of the students. Implications- As pointed out by the counselor and the therapist, the first step to self-care is to take care of our mental health. Here, in this study, we provide a solution to pre-assess and assess the mental health of the students by using these concepts. This method gives a valuable solution to the counselor or the therapist for analyzing the psychosocial aspects.
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Muhammad, Naveed Jafar, Saeed Muhammad, and Ghani Tahir. "Entropy and Correlation Coefficients of Neutrosophic and Interval-Valued Neutrosophic Hypersoft Set with application of Multi-Attributive Problems." April 9, 2022. https://doi.org/10.5281/zenodo.6426421.
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n computational intelligence, machine learning, image processing, neural networks, medical diagnostics, and decision analysis, the ideas of correlation coefficients and entropy have practical applications. By applying hypersoft set (HSS) in neutrosophic environment provides a good model for describing and addressing uncertainties. In statistics, the correlation coefficient between two variables is crucial. Furthermore, the accuracy of the correlation assessment is dependent on data from the discourse set. The main focus of this study, is to develop entropy for (NHSS) and generalized correlation coefficient interval-valued neutrosophic hypersoft-set (IVNHSS). We proposed some theorems on entropy along with algorithms based on correlation and weighted correlation coefficients in the context of NHSs and IVNHSS. The validity and superiority are presented along with application and also comparison is made with existing approaches.
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Muhammad, Umer Farooq, and Saqlain Muhammad. "The Application of Neutrosophic Hypersoft Set TOPSIS (NHSS-TOPSIS) in the Selection of Carbon Nano Tube based Field Effective Transistors CNTFETs." June 8, 2021. https://doi.org/10.5281/zenodo.4914851.
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Carbon nano tubes (CNT) are the main parts of the electronic devices. Due to high carrier mobility, these devices have very high speed. CNT has a wide range of application in making sensors which can detect different types of diseases, materials, viruses and bacteria. The main problem in the CNT based field effect transistors (CNTFETs) is leakage current. For the reduction of leakage current, high k-gate dielectric are the most suitable materials. The purpose of this research is to find the most suitable high k-gate dielectric for the CNTFETs using Neutrosophic Hypersoft set TOPSIS (NHSSTOPSIS). Since NHSS-TOPSIS are useful when attributes are more than one and are further bifurcated. The concepts of TOPSIS has practical applications in computational intelligence, machine learning, image processing, neural networks, medical diagnosis, and decision analysis. A practical application for ranking of alternatives with newly developed NHSS-TOPSIS approach is illustrated by a numerical example for CNTFETs. The validity and superiority of NHSS-TOPSIS with existing approaches is also given with the help of a comparison analysis.