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Journal articles on the topic 'Single-valued neutrosophic set (SVNS)'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Wang, Tongjuan. "Distance of Single-Valued Neutrosophic Set and Its Application in Pattern Recognition." Journal of Physics: Conference Series 2025, no. 1 (2021): 012019. http://dx.doi.org/10.1088/1742-6596/2025/1/012019.

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Abstract Single-valued neutrosophic set (SVNS) is an extension of fuzzy set, which combines the truth, indeterminacy, and falsity information. The measurement of distance of single-valued neutrosophic set will bring new ideas to pattern recognition. This paper introduces the distance definitions and properties of SVNS, and proposes the improved distance definition of single-valued neutrosophic set based on decision maker attitude towards indeterminacy information and applied them to pattern recognition. By assigning a value to decision-maker’s attitude towards indeterminacy information, this a

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2

Ren, Shapu. "Multicriteria Decision-Making Method Under a Single Valued Neutrosophic Environment." International Journal of Intelligent Information Technologies 13, no. 4 (2017): 23–37. http://dx.doi.org/10.4018/ijiit.2017100102.

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A single valued neutrosophic set (SVNS) is a subclass of neutrosophic sets, which generalizes fuzzy sets, interval valued fuzzy set, and intuitionistic fuzzy set. It can be used to easily express incomplete, indeterminate and inconsistent information. This paper introduces the Dice similarity measure of single valued neutrosophic numbers (SVNNs) for ranking SVNNs and a single valued neutrosophic prioritized weighted geometric (SVNPWG) operator for aggregating single valued neutrosophic information. Based on the SVNPWG operator and the Dice similarity measure for SVNNs, a multicriteria decision

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3

Zhang, Huanying, Fei Wang, and Yushui Geng. "Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Schweizer–Sklar Muirhead Mean Aggregation Operators." Symmetry 11, no. 2 (2019): 152. http://dx.doi.org/10.3390/sym11020152.

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Schweizer–Sklar (SS) operation can make information aggregation more flexible, and the Muirhead mean (MM) operator can take into account the correlation between inputs by a variable parameter. Because traditional MM is only available for real numbers and single-valued neutrosophic set (SVNS) can better express incomplete and uncertain information in decision systems, in this paper, we applied MM operators to single-valued neutrosophic sets (SVNSs) and presented two new MM aggregation operators with the SS operation, i.e., a single-valued neutrosophic SS Muirhead mean (SVNSSMM) operator and a w

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4

Jiang, Wen, Zihan Zhang, and Xinyang Deng. "Multi-Attribute Decision Making Method Based on Aggregated Neutrosophic Set." Symmetry 11, no. 2 (2019): 267. http://dx.doi.org/10.3390/sym11020267.

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Multi-attribute decision-making refers to the decision-making problem of selecting the optimal alternative or sorting the scheme when considering multiple attributes, which is widely used in engineering design, economy, management and military, etc. But in real application, the attribute information of many objects is often inaccurate or uncertain, so it is very important for us to find a useful and efficient method to solve the problem. Neutrosophic set is proposed from philosophical point of view to handle inaccurate information efficiently, and a single-valued neutrosophic set (SVNS) is a s

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Liu, Chunfang, and YueSheng Luo. "The Weighted Distance Measure Based Method to Neutrosophic Multiattribute Group Decision Making." Mathematical Problems in Engineering 2016 (2016): 1–8. http://dx.doi.org/10.1155/2016/3145341.

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Neutrosophic set (NS) is a generalization of fuzzy set (FS) that is designed for some practical situations in which each element has different truth membership function, indeterminacy membership function, and falsity membership function. In this paper, we study the multiattribute group decision making (MAGDM) problems under neutrosophic environment with the incompletely known or completely unknown attribute weight. We first define the single-valued neutrosophic ideal solution (SVNIS) and the weighted distance measure and establish the program models to derive the attribute weights. Then, we gi

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Rong, Yuan, Wenyao Niu, Harish Garg, Yi Liu, and Liying Yu. "A Hybrid Group Decision Approach Based on MARCOS and Regret Theory for Pharmaceutical Enterprises Assessment under a Single-Valued Neutrosophic Scenario." Systems 10, no. 4 (2022): 106. http://dx.doi.org/10.3390/systems10040106.

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Evaluating pharmaceutical enterprises with sustainable and high-quality development ability (SHQDA) can not only provide strategies for the pharmaceutical management department in formulating enterprise development plans, but also provide suggestions and guidance for enterprises to enhance their core competitiveness. Nevertheless, the prior research possesses several deficiencies in coping with the assessment of enterprises with SHQDA under uncertain environments to predict the psychological behavior of the evaluator and the correlation among the evaluation criteria. To conquer the aforementio

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Sharma, Sonam, and Surender Singh. "A Complementary Dual of Single-Valued Neutrosophic Entropy with Application to MAGDM." Mathematics 10, no. 20 (2022): 3726. http://dx.doi.org/10.3390/math10203726.

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A single-valued neutrosophic set (SVNS) is a subcategory of neutrosophic set that is used to represent uncertainty and fuzziness in three tiers, namely truthfulness, indeterminacy, and falsity. The measure of entropy of a SVNS plays an important role to determine the ambiguity in a variety of situations. The knowledge measure is a dual form of entropy and is helpful in certain counterintuitive situations. In this paper, we introduce a knowledge measure for the SVNS and contrast the same with existing measures. The comparative study reveals that the proposed knowledge measure is more effective

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G, Upender Reddy, Siva Nageswara Rao T, Srinivasa Rao N, and Venkateswara Rao V. "Bipolar single valued neutrosophic detour distance." Indian Journal of Science and Technology 14, no. 5 (2021): 427–31. https://doi.org/10.17485/IJST/v14i5.2102.

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Abstract <strong>Objectives:</strong> In the present article, we deduced a characterization of Bipolar Single Valued Neutrosophic (BSVN) radius and eccentricity of the vertex based on Bipolar Single Valued Neutrosophic set(BSVNS) detour. <strong>Method:</strong> We obtained some definitions BSVN on a vertex like BSVN detour eccentric vertex, BSVN detour radius, BSVN detour diameter, BSVN detour centered and BSVN detour periphery. Findings: We derived some important results based on these BSVN detour radius, diameter, center and periphery. <strong>Novelty:</strong> The

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9

Imran, Raiha, Kifayat Ullah, Zeeshan Ali, and Maria Akram. "An Approach to Multi-Attribute Decision-Making Based on Single-Valued Neutrosophic Hesitant Fuzzy Aczel-Alsina Aggregation Operator." Neutrosophic Systems with Applications 22 (October 1, 2024): 43–57. http://dx.doi.org/10.61356/j.nswa.2024.22387.

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A single-valued Neutrosophic hesitant fuzzy set (SVNHFS) is a combination of a single-valued neutrosophic set (SVNS) and hesitant fuzzy set (HFS) that has been developed to address insufficient, unreliable, and vague environments in which each element has several possible options determined by the truthiness, indeterminacy and falsity value. By considering this, in this paper, we have proposed the Aczel-Alsina aggregation operator (AAAO) for SVNHFS, which is more flexible t-norm and t-conorm than the other and due to the flexible nature of parameters to solve Multi-Attribute decision making (M

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Shakir, Taif Khalid, and Ahmed N. Al Masri. "Single Valued Neutrosophic Set for Selection of Water Supply in Intelligent Farming." International Journal of Advances in Applied Computational Intelligence 2, no. 2 (2022): 37–44. http://dx.doi.org/10.54216/ijaaci.020204.

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One of the most difficult problems in the water business is the oversight and strategic planning of basin-based water supplies. Governments are concerned with ensuring equitable growth by addressing issues like water scarcity, improving agricultural products, and supporting nutritional health. The primary contribution of this research is the introduction of a methodology for assessing agricultural water delivery systems that allow for collaboration among all stakeholders. The managing the water supply is a MADM. Multi-attribute decision-making (MADM) issues, which are characterized by inadequa

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Lu, Lin, and Xiaochun Luo. "Emergency Transportation Problem Based on Single-Valued Neutrosophic Set." Discrete Dynamics in Nature and Society 2020 (April 21, 2020): 1–8. http://dx.doi.org/10.1155/2020/4813497.

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Emergency events are full of large number of uncertain information. The existence of these uncertain information leads to less research on emergency logistics involving transshipment scenarios. In this paper, a new emergency transport model is proposed, which simulates the scenario of emergency transport from the logistics center to each disaster site and between each disaster site. The single-valued neutrosophic set (SVNS) is applied to transform the emergency transshipment problem into a multiattribute decision-making problem in ambiguous and uncertain environments. Technology for order pref

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Hameed, Muhammad Shazib, Esmail Hassan Abdullatif Al-Sabri, Zaheer Ahmad, Shahbaz Ali та Muhammad Usman Ghani. "Some Results on Submodules Using (μ,ν,ω)-Single-Valued Neutrosophic Environment". Symmetry 15, № 1 (2023): 247. http://dx.doi.org/10.3390/sym15010247.

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The use of a single-valued neutrosophic set (svns) makes it much easier to manage situations in which one must deal with incorrect, unexpected, susceptible, faulty, vulnerable, and complicated information. This is a result of the fact that the specific forms of material being discussed here are more likely to include errors. This new theory has directly contributed to the expansion of both the concept of fuzzy sets and intuitionistic fuzzy sets, both of which have experienced additional development as a direct consequence of the creation of this new theory. In svns, indeterminacy is correctly

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Wu, Fuzhong, and Yiming Fang. "Multilevel Evaluation of Teaching Quality in Higher Education Using Single-Valued Neutrosophic Set." Mobile Information Systems 2022 (March 17, 2022): 1–8. http://dx.doi.org/10.1155/2022/6217191.

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Evaluation of teaching quality is essential for teachers’ promotion, students’ course selection, and institutes’ standing. A multilevel evaluation framework for teaching quality in higher education was investigated by combining the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) with the single-valued neutrosophic set (SVNS). An indicator system was constructed, including the teaching performance and the students’ learning outcomes. For the qualitative indicator values, an SVNS representation method was proposed, aiming to describe the uncertainty and improve the cre

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Smarandache, Florentin, Ahmed M. Ali, and Ahmed Abdelhafeez. "Single Valued Neutrosophic HyperSoft Set based on VIKOR Method for 5G Architecture Selection." International Journal of Neutrosophic Science 23, no. 2 (2024): 42–52. http://dx.doi.org/10.54216/ijns.230205.

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This work introduces the framework for selecting architecture in 5G networks, considering various technological, performance, economic, and operational factors. With the emergence of 5G technology, the architecture selection process has become pivotal in meeting diverse requirements for ultra-high-speed connectivity, low latency, scalability, and diverse service demands. The evaluation comprehensively analyses different architecture options, including centralized, distributed, cloud-based, and virtualized architectures. Factors such as network performance, scalability, cost-effectiveness, secu

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W. B., Vasantha, Ilanthenral Kandasamy, Florentin Smarandache, Vinayak Devvrat, and Shivam Ghildiyal. "Study of Imaginative Play in Children Using Single-Valued Refined Neutrosophic Sets." Symmetry 12, no. 3 (2020): 402. http://dx.doi.org/10.3390/sym12030402.

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This paper introduces Single Valued Refined Neutrosophic Set (SVRNS) which is a generalized version of the neutrosophic set. It consists of six membership functions based on imaginary and indeterminate aspect and hence, is more sensitive to real-world problems. Membership functions defined as complex (imaginary), a falsity tending towards complex and truth tending towards complex are used to handle the imaginary concept in addition to existing memberships in the Single Valued Neutrosophic Set (SVNS). Several properties of this set were also discussed. The study of imaginative pretend play of c

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Liu, Ning, and Zengtai Gong. "Derivatives and indefinite integrals of single valued neutrosophic functions." AIMS Mathematics 9, no. 1 (2024): 391–411. http://dx.doi.org/10.3934/math.2024022.

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<abstract><p>With the continuous development of the fuzzy set theory, neutrosophic set theory can better solve uncertain, incomplete and inconsistent information. As a special subset of the neutrosophic set, the single-valued neutrosophic set has a significant advantage when the value expressing the degree of membership is a set of finite discrete numbers. Therefore, in this paper, we first discuss the change values of single-valued neutrosophic numbers when treating them as variables and classifying these change values with the help of basic operations. Second, the convergence of

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Bo, Chunxin, Xiaohong Zhang, Songtao Shao, and Florentin Smarandache. "New Multigranulation Neutrosophic Rough Set with Applications." Symmetry 10, no. 11 (2018): 578. http://dx.doi.org/10.3390/sym10110578.

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After the neutrosophic set (NS) was proposed, NS was used in many uncertainty problems. The single-valued neutrosophic set (SVNS) is a special case of NS that can be used to solve real-word problems. This paper mainly studies multigranulation neutrosophic rough sets (MNRSs) and their applications in multi-attribute group decision-making. Firstly, the existing definition of neutrosophic rough set (we call it type-I neutrosophic rough set (NRSI) in this paper) is analyzed, and then the definition of type-II neutrosophic rough set (NRSII), which is similar to NRSI, is given and its properties are

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BAUŠYS, Romualdas, and Birutė JUODAGALVIENĖ. "Garage location selection for residential house by WASPAS-SVNS method." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 23, no. 3 (2017): 421–29. http://dx.doi.org/10.3846/13923730.2016.1268645.

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The paper deals with the location selection problem of the garage at the parcel of a single-family residential house. The mathematical model for this real life problem is constructed within MCDM framework. The significance of the chosen criteria was evaluated by AHP approach. The formulated MCDM problem is solved applying WASPAS extension, namely WASPAS-SVNS. The applied single-valued neutrosophic set allows to modeling uncertainty of the initial information explicitly. A numerical example is considered in order to verify the proposed approach.

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Emad, Moahmed, Mahmoud Ismail, Heba Rashad, Ahmed M. Ali, and Shimaa S. Mohamed. "An Intelligent Multi-Criteria Decision-Making Model for selecting an optimal location for a data center: Case Study in Egypt." Journal of Intelligent Systems and Internet of Things 9, no. 2 (2023): 23–35. http://dx.doi.org/10.54216/jisiot.090202.

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For businesses that depend on reliable and secure IT systems, choosing the best location for a data center is of paramount importance. Data center accessibility, operational efficiency, cost, and security are all affected by their physical location. The procedure entails considering a wide range of elements to guarantee that the final site meets the needs of the business. This paper investigated the multi-criteria decision-making (MCDM) model to select the best data center location based on a set of criteria. The MCDM method is integrated with the single-valued neutrosophic set (SVNS) to deal

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20

Gaber, Mohamed, Majed G. Alharbi, Abd Alwahed Dagestani, and El-Saeed Ammar. "Optimal Solutions for Constrained Bimatrix Games with Payoffs Represented by Single-Valued Trapezoidal Neutrosophic Numbers." Journal of Mathematics 2021 (June 18, 2021): 1–13. http://dx.doi.org/10.1155/2021/5594623.

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Single-valued neutrosophic set (SVNS) is considered as generalization and extension of fuzzy set, intuitionistic fuzzy set (IFS), and crisp set for expressing the imprecise, incomplete, and indeterminate information about real-life decision-oriented models. The theme of this research is to develop a solution approach to solve constrained bimatrix games with payoffs of single-valued trapezoidal neutrosophic numbers (SVTNNs). In this approach, the concepts and suitable ranking function of SVTNNs are defined. Hereby, the equilibrium optimal strategies and equilibrium values for both players can b

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Kandasamy, Ilanthenral, and Florentin Smarandache. "Multicriteria Decision Making Using Double Refined Indeterminacy Neutrosophic Cross Entropy and Indeterminacy Based Cross Entropy." Applied Mechanics and Materials 859 (December 2016): 129–43. http://dx.doi.org/10.4028/www.scientific.net/amm.859.129.

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Double Refined Indeterminacy Neutrosophic Set (DRINS) is an inclusive case of the refined neutrosophic set, defined by Smarandache (2013), which provides the additional possibility to represent with sensitivity and accuracy the uncertain, imprecise, incomplete, and inconsistent information which are available in real world. More precision is provided in handling indeterminacy; by classifying indeterminacy (I) into two, based on membership; as indeterminacy leaning towards truth membership (IT) and indeterminacy leaning towards false membership (IF). This kind of classification of indeterminacy

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22

Liu, Peide, and Hongyu Yang. "Three-Way Decisions with Single-Valued Neutrosophic Decision Theory Rough Sets Based on Grey Relational Analysis." Mathematical Problems in Engineering 2019 (October 3, 2019): 1–12. http://dx.doi.org/10.1155/2019/3258018.

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The single-valued neutrosophic set (SVNS) can not only depict imperfect information in the real decision system but also handle undetermined and inconformity information flexibly and effectively. Three-way decisions (3WDs) are often used as an effective method to deal with uncertainties, but the conditional probability is given by the decision maker subjectively, which makes the decision result too subjective. This paper proposes a novel model based on 3WDs to settle the multiattribute decision-making (MADM) problems, where the attribute values are described by SVNS, and the attribute weights

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23

Peide, Liu, Khan Qaisar, and Mahmood Tahir. "Multiple-attribute decision making based on single-valued neutrosophic Schweizer-Sklar prioritized aggregation operator." May 20, 2019. https://doi.org/10.5281/zenodo.3056412.

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Single-valued neutrosophic (SVN) sets can successfully describe the uncertainty problems, and Schweizer-Sklar (SS) t-norm (TN) and t-conorm (TCN) can build the information aggregation process more flexible by a parameter. To fully consider the advantages of SVNS and SS operations, in this article, we extend the SS TN and TCN to single-valued neutrosophic numbers (SVNN) and propose the SS operational laws for SVNNs.

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Songsong, Dai. "(α,β,γ)-Equalities of single valued neutrosophic sets". 28 квітня 2018. https://doi.org/10.5281/zenodo.1235053.

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Rıdvan, Şahin, and Liu Peide. "Correlation coefficients of single valued neutrosophic hesitant fuzzy sets and their applications in decision making." December 5, 2014. https://doi.org/10.5281/zenodo.34793.

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As a combination of the hesitant fuzzy set (HFS) and the single valued neutrosophic set (SVNS), the single valued neutrosophic hesitant fuzzy set (SVNHFS) is an important concept to handle uncertain and vague information existing in real-life, which consists of three membership functions including hesitancy, as the truth-hesitancy membership function, the indeterminacy-hesitancy membership function and the falsity-hesitancy membership function, and encompass the fuzzy set (FS), intuitionistic fuzzy set (IFS), hesitant fuzzy set (HFS), dual hesitant fuzzy set (DHFS) and singlevalued neutrosophi

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Gang, Li, Niu Chonghuai, and Zhang Chao. "Multi-Criteria Decision Making Approach Using the Fuzzy Measures for Environmental Improvement under Neutrosophic Environment." May 20, 2019. https://doi.org/10.5281/zenodo.3056080.

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The uncertainty, incomplete and inconsistent information can lead to some difficulties of decision making under the single valued neutrosophic set (SVNS) environment. Information measure plays an important role in SVNS theory, which has received more and more attention in recent years. In this study, we develop a multi-attribute decision making (MADM) method based on the single valued neutrosophic information measures.

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Rıdvan, Sahin, and Piede Liu. "Correlation coefficient of single-valued neutrosophic hesitant fuzzy sets and its applications in decision making." June 7, 2016. https://doi.org/10.5281/zenodo.235413.

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As a combination of the hesitant fuzzy set (HFS) and the single-valued neutrosophic set (SVNS), the single-valued neutrosophic hesitant fuzzy set (SVNHFS) is an important concept to handle uncertain and vague information existing in real life, which consists of three membership functions including hesitancy, as the truthhesitancy membership function, the indeterminacy-hesitancy membership function and the falsity-hesitancy membership function, and encompasses the fuzzy set, intuitionistic fuzzy set (IFS), HFS, dual hesitant fuzzy set (DHFS) and SVNS.

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Han-Liang, Huang. "New Distance Measure of Single-Valued Neutrosophic Sets and Its Application." October 13, 2016. https://doi.org/10.5281/zenodo.236057.

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A single-valued neutrosophic set (SVNS) is an instance of a neutrosophic set, which can be used to handle uncertainty, imprecise, indeterminate, and inconsistent information in real life. In this paper, a new distance measure between two SVNSs is defined by the full consideration of truthmembership function, indeterminacy-membership function, and falsity-membership function for the forward and backward differences.

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Marzieh, Shamsizadeh, and Lo′ lo′ Parvaneh. "Neutrosophic General Machine: A Group-Based Study." July 29, 2023. https://doi.org/10.5281/zenodo.8194843.

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Interval-valued neutrosophic sets have been shown to provide a limited platform for computational complexity, but neutrosophic sets are suitable for it. The neutrosophic setsare a suitable mechanism for interpreting the philosophical problems of real-life, but not for scientific problems because it is difficult to consolidate. This study aims to develop the notion of neutrosophic single-valued general machine over a finite group, which is knows as ”group neutrosophic general machine”, for simplicity, GNGM. After that, we present the notions of max-min GNGM, single-valued neutrosoph

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Rıdvan, Şahin. "Neutrosophic Hierarchical Clustering Algoritms." July 1, 2015. https://doi.org/10.5281/zenodo.22588.

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Interval neutrosophic set (INS) is a generalization of interval valued intuitionistic fuzzy set (IVIFS), whose the membership and non-membership values of elements consist of fuzzy range, while single valued neutrosophic set (SVNS) is regarded as extension of intuitionistic fuzzy set (IFS). In this paper, we extend the hierarchical clustering techniques proposed for IFSs and IVIFSs to SVNSs and INSs respectively. Based on the traditional hierarchical clustering procedure, the single valued neutrosophic aggregation operator, and the basic distance&nb

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Şahin, Rıdvan. "Neutrosophic Hierarchical Clustering Algoritms." Neutrosophic Sets and Systems 2, 2014 (May 4, 2014). https://doi.org/10.5281/zenodo.571513.

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Interval neutrosophic set (INS) is a generalization of interval valued intuitionistic fuzzy set (IVIFS), whose the membership and non-membership values of elements consist of fuzzy range, while single valued neutrosophic set (SVNS) is regarded as extension of intuitionistic fuzzy set (IFS). In this paper, we extend the hierarchical clustering techniques proposed for IFSs and IVIFSs to SVNSs and INSs respectively.

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Roan, Ngan Thi, and Florentin Smarandache. "H-Max Single-Valued Neutrosophic Distance Measure in Medical Diagnosis." International Journal of Neutrosophic Science, 2021. http://dx.doi.org/10.54216/ijns.150201.

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As an instance of a neutrosophic set, a single-valued neutrosophic set (SVNS) can be used to handle uncertainty, inaccuracy, indeterminacy, and inconsistency. In this paper, a new not-so-sophisticated distance measure between two SVNSs is defined by considering the cross-assessment between characteristic functions for the forward and backward differences. Furthermore, a single-valued neutrosophic similarity measure, a single-valued neutrosophic entropy measure, and their basic properties are presented and proven. In addition, an application to medical diagnosis is shown to illustrate the effec

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Jun, Je. "The generalized Dice measures for multiple attribute decision making under simplified neutrosophic environments." October 17, 2015. https://doi.org/10.5281/zenodo.32281.

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Ganeshsree, Selvachandran, Gai Quek Shio, Smarandache Florentin, and Broumi Said. "An Extended Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) with Maximizing Deviation Method Based on Integrated Weight Measure for Single-Valued Neutrosophic Sets." June 22, 2018. https://doi.org/10.5281/zenodo.1410135.

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A single-valued neutrosophic set (SVNS) is a special case of a neutrosophic set which is characterized by a truth, indeterminacy, and falsity membership function, each of which lies in the standard interval of [0, 1]. This paper presents a modified Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) with maximizing deviation method based on the single-valued neutrosophic set (SVNS) model.

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Jaikumar, R. V., Sundareswaran Raman, Ammar Alsinai, and Shanmugapriya Marayanagaraj. "The Perfect Score Function and Optimized Weighted Geometric Operator for Ranking Single‐Valued Neutrosophic Numbers in the Decision‐Making Process." Journal of Mathematics 2024, no. 1 (2024). http://dx.doi.org/10.1155/2024/4116205.

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The single‐valued neutrosophic set (SVNS) is a more common platform for representing the degree of truth, indeterminacy, and falsity memberships. Indeterminacy is an important aspect of SVNS, and the score function (SF) is important in ranking alternatives in decision‐making scenarios. When the score and accuracy values for different SVNNs were equal, existing SFs were unable to rank the alternatives. To address the limitations, this paper introduces the perfect score function (PSF) as a solution for ranking single‐valued neutrosophic numbers (SVNNs) without any errors and presents the concept

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Huanying, Zhang, Wang Fei, and Geng Yushui. "Multi-Criteria Decision-Making Method Based on Single-Valued Neutrosophic Schweizer–Sklar Muirhead Mean Aggregation Operators." May 21, 2019. https://doi.org/10.5281/zenodo.3073904.

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Schweizer–Sklar (SS) operation can make information aggregation more flexible, and the Muirhead mean (MM) operator can take into account the correlation between inputs by a variable parameter. Because traditional MM is only available for real numbers and single-valued neutrosophic set (SVNS) can better express incomplete and uncertain information in decision systems, in this paper, we applied MM operators to single-valued neutrosophic sets (SVNSs) and presented two new MM aggregation operators with the SS operation, i.e., a single-valued neutrosophic SS Muirhead mean (SVNSSMM) operator a

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Shahzaib, Ashraf, and Abdullah Saleem. "Decision Support Modeling For Agriculture Land Selection Based On Sine Trigonometric Single Valued Neutrosophic Information." August 19, 2020. https://doi.org/10.5281/zenodo.3991488.

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A single valued neutrosophic set (SVNS) is a useful tool to portray uncertainty in multi attribute decisionmaking. In this article, we develop hybrid averaging and hybrid geometric aggregation operator using sine trigonometric function to handle uncertainty in single valued neutrosophic information, which are, sine trigonometric single valued neutrosophic hybrid weighted averaging (ST-SVNHWA) operator and, sine trigonometric-single valued neutrosophic hybrid weighted geometric (ST-SVNHWG) operator. We investigate properties, namely, idempotancy, monotonicity and boundedness for the proposed op

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Kalyan, Mondal, Pramanik Surapati, and C. Giri Bibhas. "Hybrid Binary Logarithm Similarity Measure for MAGDM Problems under SVNS Assessments." April 28, 2018. https://doi.org/10.5281/zenodo.1235365.

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Single valued neutrosophic set is an important mathematical tool for tackling uncertainty in scientific and engineering problems because it can handle situation involving indeterminacy. In this research, we introduce new similarity measures for single valued neutrosophic sets based on binary logarithm function.

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Rıdvan, Sahin, and Liu Peide. "Correlation coefficient of single-valued neutrosophic hesitant fuzzy sets and its applications in decision making." January 10, 2016. https://doi.org/10.5281/zenodo.1412550.

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As a combination of the hesitant fuzzy set (HFS) and the single-valued neutrosophic set (SVNS), the single-valued neutrosophic hesitant fuzzy set (SVNHFS) is an important concept to handle uncertain and vague information existing in real life, which consists of three membership functions including hesitancy, as the truthhesitancy membership function, the indeterminacy-hesitancy membership function and the falsity-hesitancy membership function, and encompasses the fuzzy set, intuitionistic fuzzy set (IFS), HFS, dual hesitant fuzzy set (DHFS) and SVNS.

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Zhiming, Zhang, and Wu Chong. "A novel method for single-valued neutrosophic multi-criteria decision making with incomplete weight information." July 1, 2015. https://doi.org/10.5281/zenodo.22432.

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A single-valued neutrosophic set (SVNS) and an interval neutrosophic set (INS) are two instances of a neutrosophic set, which can efficiently deal with uncertain, imprecise, incomplete, and inconsistent information. In this paper, we develop a novel method for solving singlevalued neutrosophic multi-criteria decision making with incomplete weight information, in which the criterion values are given in the form of single-valued neutrosophic sets (SVNSs), and the information about criterion weights is incompletely known or completely unknown. The

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Qaisar, Khan, Hassan Nasruddin, and Mahmood Tahir. "Neutrosophic Cubic Power Muirhead Mean Operators with Uncertain Data for Multi-Attribute Decision-Making." May 21, 2019. https://doi.org/10.5281/zenodo.3076718.

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The neutrosophic cubic set (NCS) is a hybrid structure, which consists of interval neutrosophic sets (INS) (associated with the undetermined part of information associated with entropy) and single-valued neutrosophic set (SVNS) (associated with the determined part of information). NCS is a better tool to handle complex decision-making (DM) problems with INS and SVNS.

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Jun, Ye. "Another Form of Correlation Coefficient between Single Valued Neutrosophic Sets and Its Multiple Attribute Decision- Making Method." July 1, 2015. https://doi.org/10.5281/zenodo.22428.

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A single valued neutrosophic set (SVNS), which is the subclass of a neutrosophic set, can be considered as a powerful tool to express the indeterminate and inconsistent information in the process of decision making. Then, correlation is one of the most broadly applied indices in many fields and also an important measure in data analysis and classification, pattern recognition, decision making and so on. Therefore, we propose another form of correlation coefficient between SVNSs and establish a multiple attribute decision making method using the

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Chunxin, Bo, Zhang Xiaohong, Shao Songtao, and Smarandache Florentin. "New Multigranulation Neutrosophic Rough Set with Applications." May 16, 2019. https://doi.org/10.5281/zenodo.2862575.

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After the neutrosophic set (NS) was proposed, NS was used in many uncertainty problems. The single-valued neutrosophic set (SVNS) is a special case of NS that can be used to solve real-word problems. This paper mainly studies multigranulation neutrosophic rough sets (MNRSs) and their applications in multi-attribute group decision-making.

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Qaisar, Khan, Hassan Nasruddin, and Mahmood Tahir. "Neutrosophic Cubic Power Muirhead Mean Operators with Uncertain Data for Multi-Attribute Decision-Making." May 16, 2019. https://doi.org/10.5281/zenodo.2861852.

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The neutrosophic cubic set (NCS) is a hybrid structure, which consists of interval neutrosophic sets (INS) (associated with the undetermined part of information associated with entropy) and single-valued neutrosophic set (SVNS) (associated with the determined part of information).

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Peng, Xindong, and Chong Liu. "Algorithms for neutrosophic soft decision making based on EDAS and new similarity measure." January 7, 2015. https://doi.org/10.5281/zenodo.232949.

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This paper presents two novel single-valued neutrosophic soft set (SVNSS) methods.First, we initiate a new axiomatic definition of single-valued neutrosophic simlarity measure, which is expressed by single-valued neutrosophic number (SVNN) that will reduce the information loss and remain more original information.

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Karaaslan, Faruk. "Gaussian single-valued neutrosophic numbers and its application in multi-attribute decision making." Neutrosophic Sets and Systems 22 (December 10, 2018). https://doi.org/10.5281/zenodo.2159763.

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The fuzzy set and intuitionistic fuzzy set are two useful mathematical tool for dealing with impression and uncertainty. However sometimes these theories may not suffice to model indeterminate and inconsistent information encountered in real world. To overcome this insufficiency, neutrosophic set theory and single-valued neutrosophic set (SVNS) theory which is useful in practical applications, were proposed. Many researchers have studied on single-valued triangular neutrosophic numbers and single-valued trapezoidal neutrosophic numbers. In this paper, concepts of Gaussian single-valued neutros

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Debapriya, Mondal, Tudu Suklal, Chandra Roy Gopal, and Kumar Roy Tapan. "A Model Describing the Neutrosophic Differential Equation and Its Application On Mine Safety." September 7, 2021. https://doi.org/10.5281/zenodo.5486247.

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In the theory of uncertainty and approximation neutrosophy plays a significant role. Neutrosophy is tool emerged on standard or non-standard to measured the mathematical model of uncertainty, vagueness, ambiguity etc. In light of these major issues, the paper outlines of Neutrosophic Set, Single Valued Neutrosophic Set, Triangular Single Valued Neutrosophic Number and Trapezoidal Single Valued Neutrosophic Number. It also propose Neutrosophic Differential Equation and shown its solution in different conditions. Thereafter mining safety model via Single Valued neutrosophic number be epitomized.

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Debapriya, Mondal, Tudu Suklal, Chandra Roy Gopal, and Kumar Roy Tapan. "A Model Describing the Neutrosophic Differential Equation and Its Application on Mine Safety." October 7, 2021. https://doi.org/10.5281/zenodo.5553544.

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Abstract:

In the theory of uncertainty and approximation neutrosophy plays a significant role. Neutrosophy is tool emerged on standard or non-standard to measured the mathematical model of uncertainty, vagueness, ambiguity etc. In light of these major issues, the paper outlines of Neutrosophic Set, Single Valued Neutrosophic Set, Triangular Single Valued Neutrosophic Number and Trapezoidal Single Valued Neutrosophic Number. It also propose Neutrosophic Differential Equation and shown its solution in different conditions. Thereafter mining safety model via Single Valued neutrosophic number be epitomized.

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Surapati, Pramanik, Das Suman, Das Rakhal, and Chandra Tripathy Binod. "Neutrosophic BWM-TOPSIS Strategy under SVNS Environment." July 29, 2023. https://doi.org/10.5281/zenodo.8194759.

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Decision making under an uncertain environment is a critical task. In this article, we develop a Multi Attribute Decision Making (MADM) model using BWM and Neutrosophic-TOPSIS under Single Valued Neutrosophic Set (SVNS) environment. In developed model, BWM is utilized to find the weights of the attributes those are selected by a group of experts, and the Neutrosophic-TOPSIS is utilized to rank the alternatives

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Smarandache, F. "NEUTROSOPHIC: A comprehensive review to explore the future." July 6, 2015. https://doi.org/10.5281/zenodo.23145.

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The aim of this paper is twofold: first, it focuses on some important notions such as neutrosophic set, neutrosophic logic, neutrosophic measure, neutrosophic integral, and a single valued neutrosophic set (SVNS). Second, the most important part of the paper is related to the neutrosophic applications. there exists a lot of application in all field such as in information technology , information system and decision support system for example, relational database systems, semantic web services, financial data set detection, new economies growth, decline analysis and etc.. Th

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