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Journal articles on the topic 'Weighted neutrosophic soft sets'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Jayaprakash, Poornima, and Sandhiya Sundar. "Neutrosophic soft set matrix and their applications based on multi criteria decision-making problems." Multidisciplinary Science Journal 6 (December 15, 2023): 2024ss0110. http://dx.doi.org/10.31893/multiscience.2024ss0110.

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Importance of decision-making problems in uncertain environments cannot be overstated. Soft set theory and neutrosophic soft set theory are advanced mathematical techniques that have recently been developed to better handle these uncertain, incomplete, and inconsistent data sets. The concepts of neutrosophic soft set, neutrosophic soft matrix, and its operations are presented in this work. To compare the neutrosophic soft sets, we also provide score, certainty, and accuracy functions. Afterward, we create the neutrosophic arithmetic operator (NA), neutrosophic weighted arithmetic operator neut

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2

Dong, Hou, and Gong. "Algorithm for Neutrosophic Soft Sets in Stochastic Multi-Criteria Group Decision Making Based on Prospect Theory." Symmetry 11, no. 9 (2019): 1085. http://dx.doi.org/10.3390/sym11091085.

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To address issues involving inconsistencies, this paper proposes a stochastic multi-criteria group decision making algorithm based on neutrosophic soft sets, which includes a pair of asymmetric functions: Truth-membership and false-membership, and an indeterminacy-membership function. For integrating an inherent stochastic, the algorithm expresses the weights of decision makers and parameter subjective weights by neutrosophic numbers instead of determinate values. Additionally, the algorithm is guided by the prospect theory, which incorporates psychological expectations of decision makers into

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3

Zhang, Fu, and Weimin Ma. "Study on Chaotic Multi-Attribute Group Decision Making Based on Weighted Neutrosophic Fuzzy Soft Rough Sets." Mathematics 11, no. 4 (2023): 1034. http://dx.doi.org/10.3390/math11041034.

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In this article, we have proposed a multi-attribute group decision making (MAGDM) with a new scenario or new condition named Chaotic MAGDM, in which not only the weights of the decision makers (DMs) and the weights of the decision attributes are considered, but also the familiarity of the DMs with the attributes are considered. Then we applied the weighted neutrosophic fuzzy soft rough set theory to Chaotic MAGDM and proposed a new algorithm for MAGDM. Moreover, we provide a case study to demonstrate the application of the algorithm. Our contributions to the literature are as follows: (1) fami

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4

Naveed, Hamza, and Saalam Ali. "Multi-Criteria Decision-Making Approach Based on Correlation Coefficient for Multi-Polar Interval-Valued Neutrosophic Soft Set." Neutrosophic Systems with Applications 24 (December 1, 2024): 18–33. https://doi.org/10.61356/j.nswa.2024.24417.

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The correlation coefficient between two factors is crucial in statistical computation, indicating the extent and evolution of the appropriate link. The precision of applicability evaluations frequently relies on the thoroughness and caliber of data obtained from a certain dataset. Statistical research sometimes entails data marked by intrinsic trade-offs and uncertainty. This study seeks to present m-polar interval-valued neutrosophic soft sets (mPIVNSSs) through the integration of m-polar fuzzy sets with interval-valued neutrosophic soft sets. The suggested mPIVNSS structure is a significantl

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Surapati, Pramanik* Shyamal Dalapati. "GRA BASED MULTI CRITERIA DECISION MAKING IN GENERALIZED NEUTROSOPHIC SOFT SET ENVIRONMENT." Global Journal of Engineering Science and Research Management 3, no. 5 (2016): 153–69. https://doi.org/10.5281/zenodo.53753.

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The main objective of the paper is to propose generalized neutrosophic soft multi criteria decision making based on grey relational analysis. The concept of generalized neutrosophic soft sets has been derived from the hybridization of the concepts of neutrosophic set and soft set. In this paper we have defined neutrosophic soft weighted average operator in order to aggregate the individual decision maker’s opinion into a common opinion based on choice parameters of the evaluators. In the decision making process, the decision makers provide the rating of alternatives with respect to the p

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6

Althuniyan, Najla, Abedallah Al-shboul, Sarah Aljohani, et al. "Decision-Making with Fermatean Neutrosophic Vague Soft Sets Using a Technique for Order of Preference by Similarity to Ideal Solution." Axioms 14, no. 5 (2025): 381. https://doi.org/10.3390/axioms14050381.

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This study addresses the challenge of effectively modeling uncertainty and hesitation in complex decision-making environments, where traditional fuzzy and vague set models often fall short. To overcome these limitations, we propose the Fermatean neutrosophic vague soft set (FNVSS), an advanced extension that integrates the concepts of neutrosophic sets with Fermatean membership functions into the framework of vague sets. The FNVSS model enhances the representation of truth, indeterminacy, and falsity degrees, providing greater flexibility and resilience in capturing ambiguous and imprecise inf

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7

Nasser, Nasser. "Automated Learning Style Prediction using Weighted Neutrosophic Fuzzy Soft Rough Sets in E-learning Platform." International Journal of Neutrosophic Science 25, no. 1 (2025): 104–16. http://dx.doi.org/10.54216/ijns.250109.

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Neutrosophic fuzzy logic (NFL) is a prolongation of classical FL that integrates the neutrosophic conception that handles the indeterminacy concept. This method offers a more comprehensive and flexible architecture to handle inconsistent, uncertain, and indeterminate data, which makes it especially helpful in complicated reasoning and decision-making scenarios where classical FL might be defeated. A learning scheme, which is made from the internet and computer as the main components, is called as an e-learning platform. Although the training might happen on or off campuses, utilizing the inter

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Smarandache, Florentin, Mona Mohamed, and Michael Voskoglou. "Evaluating Blockchain Cybersecurity Based on Tree Soft and Opinion Weight Criteria Method under Uncertainty Climate." HyperSoft Set Methods in Engineering 1 (January 3, 2024): 1–10. http://dx.doi.org/10.61356/j.hsse.2024.17850.

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In the era of digital transformation (DT), many digital technologies have emerged and have had a positive impact on society. Nevertheless, because of certain issues with existing technologies, innovative technology has developed to eradicate them. Fog computing (FC) plays a vital role as an intermediate between edge layer and cloud computing (CC) to resolve limited resources and capabilities. In the same vein, blockchain technology (BCT) is responsible for resolving privacy and security issues that IoT suffers from. Due to using cryptography rules and hashing which is utilized in BCT to preven

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9

Mohamed, Mona, and Alaa Salem. "Holistic Methodology of Hypersoft in Tandem with Uncertainty-based Triangular Neutrosophic for Wave Energy Converter Optimization." Multicriteria Algorithms with Applications 5 (October 1, 2024): 18–31. http://dx.doi.org/10.61356/j.mawa.2024.5395.

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Global warming, environmental degradation, and climate change have recently emerged as compelling arguments against the combustion of fossil fuels. As well Eliminating and forgoing the intake of fossil fuels is also encouraged by the Sustainable Development Agenda's goals. The healthy substitute for fossil fuels, renewable energy is one of the main devoid power sources found in our natural surroundings. An effective proposition for harnessing wave energy with an emphasis on increasing energy and efficiency are wave energy converters, or WEnCos. It contributes to producing a clean, limitless en

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Gulistan, Muhammad, Mutaz Mohammad, Faruk Karaaslan, Seifedine Kadry, Salma Khan, and Hafiz Abdul Wahab. "Neutrosophic cubic Heronian mean operators with applications in multiple attribute group decision-making using cosine similarity functions." International Journal of Distributed Sensor Networks 15, no. 9 (2019): 155014771987761. http://dx.doi.org/10.1177/1550147719877613.

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This article introduces the concept of Heronian mean operators, geometric Heronian mean operators, neutrosophic cubic number–improved generalized weighted Heronian mean operators, neutrosophic cubic number–improved generalized weighted geometric Heronian mean operators. These operators actually generalize the operators of fuzzy sets, cubic sets, and neutrosophic sets. We investigate the average weighted operator on neutrosophic cubic sets and weighted geometric operator on neutrosophic cubic sets to aggregate the neutrosophic cubic information. After this, based on average weighted and geometr

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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 cubi

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Vijayalakshmi, B., T. Sujitha, and E. Elavarasan. "Neutrosophic Soft Regular Semiopen Sets in Neutrosophic Soft Topological Spaces." International Journal of Multidisciplinary Research and Growth Evaluation 5, no. 4 (2024): 495–500. http://dx.doi.org/10.54660/.ijmrge.2024.5.5.495-500.

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In this paper, we introduce and study the concept of neutrosophic soft regular semiopen and neutrosophic soft regular semiclosed sets in neutrosophic soft topological spaces. By using neutrosophic soft regular semiopen set, we deﬁne a new neutrosophic soft interior operator namely neutrosophic soft regular semi interior operator and neutrosophic soft regular semi neighborhood. Also the relation between these sets and counter examples for the reverse relation are given.

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Hashim, Raja, Muhammad Gulistan, and Florentin Smarandache. "Applications of Neutrosophic Bipolar Fuzzy Sets in HOPE Foundation for Planning to Build a Children Hospital with Different Types of Similarity Measures." Symmetry 10, no. 8 (2018): 331. http://dx.doi.org/10.3390/sym10080331.

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In this paper we provide an application of neutrosophic bipolar fuzzy sets in daily life’s problem related with HOPE foundation that is planning to build a children hospital, which is the main theme of this paper. For it we first develop the theory of neutrosophic bipolar fuzzy sets which is a generalization of bipolar fuzzy sets. After giving the definition we introduce some basic operation of neutrosophic bipolar fuzzy sets and focus on weighted aggregation operators in terms of neutrosophic bipolar fuzzy sets. We define neutrosophic bipolar fuzzy weighted averaging ( N B FWA ) and neutrosop

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14

Mehmood, Arif, Farkhanda Afzal, Muhammad Imran Khan, Saleem Abdullah, and Saeed Gul. "Neutrosophic Soft Quad Structures Concerning Neutrosophic Soft Points." Mathematical Problems in Engineering 2022 (January 19, 2022): 1–12. http://dx.doi.org/10.1155/2022/8483632.

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In this article, a new concept of neutrosophic soft quad-topological structures is introduced. Generalised neutrosophic soft ∗ b open sets in neutrosophic soft quad-topological structures concerning soft points of the space are introduced. Different results are addressed in neutrosophic soft quad-topological structure on the basis of these new neutrosophic soft ∗ b open sets. Neutrosophic soft separation axioms and other separation axioms are addressed in neutrosophic soft quad-topological structures. The engagement of these axioms is switched over with different results with respect to soft p

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15

Şahin, Mehmet, Shawkat Alkhazaleh, and Vakkas Uluçay. "Neutrosophic Soft Expert Sets." Applied Mathematics 06, no. 01 (2015): 116–27. http://dx.doi.org/10.4236/am.2015.61012.

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Jumaili, Alaa M. F. AL. "Other Certain Classes of Generalized Neutrosophic Soft Separation Structures." International Journal of Neutrosophic Science 22, no. 1 (2023): 77–85. http://dx.doi.org/10.54216/ijns.220106.

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The main target of introduce our manuscript is to study and investigate another new extension for the classical meanings of neutrosophic soft neighbourhood and soft separation structures namely, neutrosophic soft δ-ß-neighbourhood and neutrosophic soft δ-ß-separation structures based on new idea of neutrosophic soft open sets called, neutrosophic soft δ-ß-open sets which is more general than of the neutrosophic soft open sets. This manuscript is devoted to obtaining some characterizations and essential properties concerning of neutrosophic soft δ-ß- Ti-spaces (i=0, 1, 2, 3, 4) as well the rela

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Priya, A., P. Maragatha Meenakshi, Aiyared Iampan, N. Rajesh, and Suganthi Mariyappan. "Possibility neutrosophic bipolar fuzzy soft sets and their applications." International Journal of Neutrosophic Science 23, no. 1 (2023): 176–92. http://dx.doi.org/10.54216/ijns.230116.

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In this work, the possibility neutrosophic bipolar soft sets interact with the possibility bipolar fuzzy soft sets, as well as complementation, union, intersection, AND, and OR. This paper extends the concept of bipolar neutrosophic soft sets to the possibility neutrosophic bipolar soft sets. Our main goal was to demonstrate De Morgan’s law, associate law and distributive law, which are all the laws related to the possibility neutrosophic bipolar soft sets. Also, we present an algorithm that uses a soft set model to solve the decision-making problem primarily in order to simplify the process.

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18

Mandal, Debabrata. "Neutrosophic Soft $\Gamma$-Semiring and Its Ideals." International Journal of Fuzzy System Applications 7, no. 2 (2018): 103–13. http://dx.doi.org/10.4018/ijfsa.2018040106.

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As a generalization of fuzzy sets, soft set and neutrosophic sets are applied to many branches of mathematics to overcome the complexities arising from uncertain data. Combining these notions, in this article, the author initiates the study of $\Gamma$-semirings, an extension of semirings, and its ideals by neutrosophic soft sets. After defining some necessary definitions, they investigate neutrosophic soft $\Gamma$-semiring, neutrosophic soft ideals, idealistic neutrosophic soft $\Gamma$-semiring and obtain some of its characterizations.

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19

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 counta

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20

Fujita, Takaaki. "Fuzzy MultiDirected Sets, Neutrosophic MultiDirected Sets, Plithogenic MultiDirected Sets, Soft MultiDirected Sets, and Hypersoft MultiDirected Sets." HyperSoft Set Methods in Engineering 3 (April 23, 2025): 70–88. https://doi.org/10.61356/j.hsse.2025.3470.

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A fuzzy set generalizes classical sets by assigning each element a membership value in the interval [0, 1], thereby capturing partial or uncertain membership. A Neutrosophic Set extends fuzzy sets by introducing three independent membership degrees: truth, indeterminacy, and falsity, each ranging within [0, 1]. A Plithogenic Set further generalizes classical and fuzzy sets by incorporating attributes, their possible values, and a measure of contradiction. Other notable frameworks for handling uncertainty include the Soft Set and Hypersoft Set, which provide flexible parameterized approaches. A

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21

Saeed, Muhammad, Imrana Shafique, and Hatıra G¨unerhan. "Fundamentals of Fermatean Neutrosophic Soft Set with Application in Decision Making Problem." International Journal of Mathematics, Statistics, and Computer Science 3 (January 5, 2025): 294–312. https://doi.org/10.59543/ijmscs.v3i.10625.

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The classical set theory based on crisp sets is not able to deal with uncertainties which is a common feature of various real-world problems. This problem is solved using modified forms of sets such as fuzzy sets, Intuitionistic fuzzy sets, neutrosophic sets, soft sets and hypersoft sets and others along with their hybrids. In this paper, a modified hybrid of soft set named Fermatean Neutrosophic Soft set ($FrNSS$) is established. Basic entities of set theory including subsets, null set, universal set along with different operators are defined. With respect to these operators, the algebraic st

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22

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 basi

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Veliyeva, Kemale, and Sadi Bayramov. "The Neutrosophic Soft Modules." JOURNAL OF ADVANCES IN MATHEMATICS 14, no. 2 (2018): 7670–81. http://dx.doi.org/10.24297/jam.v14i2.7401.

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Molodtsov initiated the concept of soft sets in [17]. Maji et al. defined some operations on soft sets in [13]. Aktas et al. generalized soft sets by defining the concept of soft groups in [2]. After then, Qiu-Mei Sun et al. gave soft modules in [20]. In this paper, the concept of neutrosophic soft module is introduced and some of its basic properties are studied.

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Broumi, Said, and Flornetin Smarandache. "Interval-Valued Neutrosophic Soft Rough Sets." International Journal of Computational Mathematics 2015 (January 19, 2015): 1–13. http://dx.doi.org/10.1155/2015/232919.

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We first defined interval-valued neutrosophic soft rough sets (IVN-soft rough sets for short) which combine interval-valued neutrosophic soft set and rough sets and studied some of its basic properties. This concept is an extension of interval-valued intuitionistic fuzzy soft rough sets (IVIF-soft rough sets).

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Khan, Majid, Muhammad Gulistan, Naveed Yaqoob, Madad Khan, and Florentin Smarandache. "Neutrosophic Cubic Einstein Geometric Aggregation Operators with Application to Multi-Criteria Decision Making Method." Symmetry 11, no. 2 (2019): 247. http://dx.doi.org/10.3390/sym11020247.

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Neutrosophic cubic sets (NCs) are amore generalized version of neutrosophic sets(Ns) and interval neutrosophic sets (INs). Neutrosophic cubic setsare better placed to express consistent, indeterminate and inconsistent information, which provides a better platform to deal with incomplete, inconsistent and vague data. Aggregation operators play a key role in daily life, and in relation to science and engineering problems. In this paper we defined the algebraic and Einstein sum, multiplication and scalar multiplication, score and accuracy functions. Using these operations we defined geometric agg

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Bal, Mikail, and Necati Olgun. "Soft Neutrosophic Modules." Mathematics 6, no. 12 (2018): 323. http://dx.doi.org/10.3390/math6120323.

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In this study, for the first time, we study some basic definitions of soft neutrosophic modules in algebra being generalized and its several related properties, structural characteristics are investigated with suitable examples. In this paper, we utilized neutrosophic soft sets and neutrosophic modules. As a result, we defined soft neutrosophic modules. After weak soft neutrosophic modules and strong soft neutrosophic modules are described and illustrated by examples. Finally soft neutrosophic module homomorphism is defined and soft neutrosophic module isomorphism is explained.

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Pabitra, Kumar Maji. "Weighted Neutrosophic Soft Sets." July 1, 2015. https://doi.org/10.5281/zenodo.22672.

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In this paper we study the concept of neutrosophic soft sets. Imposing some weights on the parameters considered we introduce here weighted neutrosophic soft sets. Some operations like union, intersection, complement, AND, OR etc. have been defined on this new concept. Some properties of these newly defined operations have also been verified.

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Pabitra, Kumar Maji. "WEIGHTED NEUTROSOPHIC SOFT SETS APPROACH IN A MULTICRITERIA DECISION MAKING PROBLEM." May 16, 2015. https://doi.org/10.5281/zenodo.23143.

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The paramount importance of decision making problem in an imprecise environment is becoming very much significant in recent years. In this paper we have studied weighted neutrosophic soft sets which are a hybridization of neutrosophic sets with soft sets corresponding to weighted parameters. We have considered here a multicriteria decision making problem as an application of weighted neutrosophic soft sets.

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Anjan, Mukherjee, and Sarkar Sadhan. "A new method of measuring similarity between two neutrosophic soft sets and its application in pattern recognition problems." July 1, 2015. https://doi.org/10.5281/zenodo.21454.

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Smarandache in 1995 introduced the concept of neutrosophic set and in 2013 Maji introduced the notion of neutrosophic soft set, which is a hybridization of neutrosophic set and soft set. After its introduction neutrosophic soft sets become most efficient tools to deals with problems that contain uncertainty such as problem in social, economic system, medical diagnosis, pattern recognition, game theory, coding theory and so on. In this work a new method of measuring similarity measure and weighted similarity measure between two neutrosophic soft sets (NSSs) are proposed. A comparative study wit

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Mukherjee, Anjan, and Sadhan Sarkar. "A new method of measuring similarity between two neutrosophic soft sets and its application in pattern recognition problems." Neutrosophic Sets and Systems 8, 2015 (April 15, 2015). https://doi.org/10.5281/zenodo.571210.

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Smarandache in 1995 introduced the concept of neutrosophic set and in 2013 Maji introduced the notion of neutrosophic soft set, which is a hybridization of neutrosophic set and soft set. After its introduction neutrosophic soft sets become most efficient tools to deals with problems that contain uncertainty such as problem in social, economic system, medical diagnosis, pattern recognition, game theory, coding theory and so on. In this work a new method of measuring similarity measure and weighted similarity measure between two neutrosophic soft sets (NSSs) are proposed. A comparative study wit

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Jency, J. Martina, and I. Arockiarani. "Adjustable and Mean Potentiality Approach on Decision Making." May 4, 2016. https://doi.org/10.5281/zenodo.50945.

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In this paper, we design a model based on adjustable and mean potentiality approach to single valued neutrosophic level soft sets. Further, we introduce the notion of weighted single valued neutrosophic soft set and investigate its application in decision making.

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Muhammad, Riaz, Naeem Khalid, Zareef Iqra, and Afzal Deeba. "Neutrosophic N-Soft Sets with TOPSIS method for Multiple Attribute Decision Making." March 21, 2020. https://doi.org/10.5281/zenodo.3723131.

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The objective of this article is to introduce a new hybrid model of neutrosophic N-soft set which is combination of neutrosophic set and N-soft set. We introduce some basic operations on neutrosophic N-soft sets along with their fundamental properties. For multi attribute decisionmaking (MADM) problems with neutrosophic N-soft sets, we propose an extended TOPSIS (technique based on order preference by similarity to ideal solution) method. In this method, we first propose a weighted decision matrix based comparison method to identify the positive and the negative ideal solutions. Afterwards, we

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Muhammad, Riaz, Naeem Khalid, Zareef Iqra, and Afzal Deeba. "Neutrosophic N-Soft Sets with TOPSIS method for Multiple Attribute Decision Making." March 22, 2020. https://doi.org/10.5281/zenodo.3723615.

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The objective of this article is to introduce a new hybrid model of neutrosophic N-soft set which is combination of neutrosophic set and N-soft set. We introduce some basic operations on neutrosophic N-soft sets along with their fundamental properties. For multi attribute decisionmaking (MADM) problems with neutrosophic N-soft sets, we propose an extended TOPSIS (technique based on order preference by similarity to ideal solution) method. In this method, we first propose a weighted decision matrix based comparison method to identify the positive and the negative ideal solutions. Afterwards, we

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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.

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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

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Rana, Muhammad Zulqarnain, Iampan Aiyared, Siddique Imran, and Abd ElWahed Khalifa Hamiden. "Cosine and Set-Theoretic Similarity Measures for Generalized Multi-Polar Neutrosophic Soft Set with Their Application in Decision Making." June 29, 2022. https://doi.org/10.5281/zenodo.6774678.

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A similarity measure and correlation coefficients are used to tackle many issues that include indistinct and blurred information, excluding is not in a position to deal with the general fuzziness and obscurity of the various problems. 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, and generalized m-polar neutrosophic soft set. The main objective of this paper is to develop the cosine and settheoretic similarity measures for the generalized multipolar neutrosophic soft set (GmPNSS). We discuss some ba

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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.

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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

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Sonali, Priyadarsini, Vikram Singh Ajay, and Broumi Said. "Extraction of Knowledge from Uncertain Data Employing Weighted Bipolar and Neutrosophic Soft Sets." November 30, 2023. https://doi.org/10.5281/zenodo.10224115.

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Rana, Muhammad Zulqarnain`, Iampan Aiyared, Siddique Imran, and Abd ElWahed Khalifa Hamiden. "Some fundamental Operations for multi-Polar Interval-Valued Neutrosophic Soft Set and a Decision-Making Approach to Solve MCDM Problem." October 2, 2022. https://doi.org/10.5281/zenodo.7135277.

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The main purpose of this research is to propose an m-polar interval-valued neutrosophic soft set (mPIVNSSs) by merging the m-polar fuzzy set and interval-valued neutrosophic soft set. The mPIVNSSs is the most generalized form of interval-valued neutrosophic soft set. It can accommodate the truthiness, indeterminacy, and falsity in intervals form. We develop some fundamental operations for mPIVNSS such as AND Operator, OR Operator, Truth-favorite, and False-favorite Operators with their properties. The weighted aggregation operator for mPIVNSS is also established with its properties. Furthermor

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39

Chinnadurai, Veerappan, Smarandache Florentin, and Albert Bobin. "Multi-Aspect Decision-Making Process in Equity Investment Using Neutrosophic Soft Matrices." February 5, 2020. https://doi.org/10.5281/zenodo.3640364.

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Neutrosophic theory alleviates the ambiguity situation more effectively than fuzzy sets. Neutrosophic soft set deals with the combination of truth, indeterminacy and falsity membership. This provides a space for the convention with multi-aspect decision-making (MADM) problems that involve these combinations. The main aim of this paper is to provide a unique ranking for the alternatives to overcome the existing drawbacks in the said environment. Initially, a new score function and the weighted neutrosophic vector are discussed. Secondly, to show the supremacy of the proposed score function a co

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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.

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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

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41

V.Chinnadurai, A.Bobin, and D.Cokilavany. "Simplified intuitionistic neutrosophic hypersoft TOPSIS method based on correlation coefficient." October 2, 2022. https://doi.org/10.5281/zenodo.7135382.

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In psychology and sociology fields, the information is either dependent or independent and sometimes requires combinations of both. The existing structures like the fuzzy set, intuitionistic fuzzy set, and Pythagorean set have limitations when the information requires combinations of dependent and independent components. To overcome these limitations, we introduce the concept of a simplified intuitionistic neutrosophic hypersoft set. We present some properties of the correlation coefficient, weighted correlation coefficient, and aggregation operators on a simplified intuitionistic hypersoft se

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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 correlatio

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Irfan, Deli, and Broumi Said. "Neutrosophic soft relations and some properties." September 13, 2014. https://doi.org/10.5281/zenodo.23153.

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In this work, we rst de ne a relation on neutrosophic soft sets which allows to compose two neutrosophic soft sets. It is devised to derive useful information through the composition of two neutrosophic soft sets. Then, we examine symmetric, transitive and reflexive neutrosophic soft relations and many related concepts such as equivalent neutrosophic soft set relation, partition of neutrosophic soft sets, equivalence classes, quotient neutrosophic soft sets, neutrosophic soft composition are given and their propositions are discussed. Finally a decision making method on neu

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Alkan, Özkan, Yazgan Şeyda, and Kaur Sandeep. "Neutrosophic Soft Generalized b-Closed Sets in Neutrosophic Soft Topological Spaces." July 29, 2023. https://doi.org/10.5281/zenodo.8194715.

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The notion of neutrosophic soft generalized sets is introduced as a general mathematical tool that incorporates useful properties of both neutrosophic generalized sets and soft sets. In this study, we acquaint the notion of neutrosophic soft generalized b-closed (open) (gb, in short) sets in neutrosophic soft topological spaces. In addition, the relations of this set with other neutrosophic soft closed and open sets and various properties are examined. Furthermore, the properties of the gb-closure and gb-interior operator in neutrosophic soft sets and gb-neighborhood in neutrosophic soft topol

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Cruz, R. Anitha, and F. Nirmala Irudayam. "More On P-Union and P-Intersection of Neutrosophic Soft Cubic Set." October 14, 2017. https://doi.org/10.5281/zenodo.1012233.

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The P-union ,P-intersection, P-OR and P-AND of neutrosophic soft cubic sets are introduced and their related properties are investigated. We show that the Punion and the P-intersection of two internal neutrosophic soft cubic sets are also internal neutrosophic soft cubic sets. The conditions for the P-union ( P-intersection ) of two T-external (resp. I- external, F- external) neutrosophic soft cubic sets to be T-external (resp. I- external, F- external) neutrosophic soft cubic sets is also dealt with. We provide conditions for the P-union (P-intersection) of two T-external (resp. I- external,

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Ebenanjar, P. Evanzalin, and K. Sivaranjani. "Neutrosophic soft b-open set." Advances in Mathematics: Scientific Journal, May 15, 2020, 405–16. http://dx.doi.org/10.37418/amsj.9.1.32.

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Smarandache introduced the idea of neutrosophic sets. Neutrosophic soft sets deals with uncertain data. This paper defines the notion of neutrosophic soft b-open sets. The relationship between neutrosophic soft b-open set and other neutrosophic soft open sets are discussed. Also the properties of neutrosophic soft b-open are investigated.

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Anitha, Cruz R. "Neutrosophic Soft Cubic Refined Sets." September 10, 2024. https://doi.org/10.5281/zenodo.13989213.

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This paper presents a novel approach to the Neutrosophic Soft Cubic Re ned Set (NSCRS), which serves as the foundation for combining the theory of soft sets, the already-existing Neutrosophic cubic set, and the Neutrosophic re ned set and Neutrosophic Soft Cubic Set. Further introduced are the internal neutrosophic soft cubic re ned set (INSCRS) and external neutrosophic soft cubic re ned set (ENSCRS), along with their various properties, including P-order, P-union, P-intersection, and R-order, R-union, and R-intersection neutrosophic soft cubic re ned set.

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Ahmed, B. AL-Nafee. "New Family of Neutrosophic Soft Sets." December 1, 2020. https://doi.org/10.5281/zenodo.4300576.

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The goal of this paper is to study and discuss the neutrosophic soft set theory by introducing, new family of neutrosophic soft sets and because the concept of topological spaces is one of the most powerful concepts in system analysis, we introduced the concept of neutrosophic soft topological spaces depending on this the new family. Furthermore, we introduced new definitions, properties, concerning the neutrosophic soft closuer, the neutrosophic soft interior, the neutrosophic soft exterior and the neutrosophic soft boundary in details.

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H¨useyin, Kamacı. "Games Based on Simplified Neutrosophic Mul." December 12, 2021. https://doi.org/10.5281/zenodo.5775170.

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In this paper, we firstly define simplified neutrosophic multiplicative soft sets by combining simplified neutrosophic multiplicative sets and soft sets. Meanwhile, we introduce some basic operations of simplified neutrosophic multiplicative soft sets and discuss their related properties. Later, we describe two person simplified neutrosophic multiplicative soft games, and give different types of solution models of these games which are simplified neutrosophic multiplicative soft saddle points, simplified neutrosophic multiplicative soft upper and lower values, simplified neutrosophic multiplic

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Mehmood, Arif, Samer Al Ghour, Farkhanda Afzal, Giorgio Nordo, and Najma Saleem. "Comprehensive note on characterization of neutrosophic soft P-open sets in neutrosophic soft quad-topological space." Journal of Intelligent & Fuzzy Systems, March 18, 2022, 1–22. http://dx.doi.org/10.3233/jifs-212547.

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This paper concern the study of the notions of some new definitions and results. Three new definitions are given namely, neutrosophic soft quad semi-open, neutrosophic soft quad pre-open and neutrosophic soft quad *b open sets in neutrosophic soft quad-topological spaces. Among these one of the interesting neutrosophic soft quad generalized open set known as neutrosophic soft quad pre-open set is chosen then on the basis of this definition some fundamentals are generated. These are including, neutrosophic soft quad interior, neutrosophic soft quad boundary, neutrosophic soft quad exterior and

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