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Relevant bibliographies by topics / Neutrosophic soft multi-set theory

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Academic literature on the topic 'Neutrosophic soft multi-set theory'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Neutrosophic soft multi-set theory"

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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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Jana, Chiranjibe, and Madhumangal Pal. "A Robust Single-Valued Neutrosophic Soft Aggregation Operators in Multi-Criteria Decision Making." Symmetry 11, no. 1 (2019): 110. http://dx.doi.org/10.3390/sym11010110.

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Molodtsov originated soft set theory that was provided a general mathematical framework for handling with uncertainties in which we meet the data by affix parameterized factor during the information analysis as differentiated to fuzzy as well as neutrosophic set theory. The main object of this paper is to lay a foundation for providing a new approach of single-valued neutrosophic soft tool which is considering many problems that contain uncertainties. In present study, a new aggregation operators of single-valued neutrosophic soft numbers have so far not yet been applied for ranking of the alt

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Al-Quran, Ashraf, and Nasruddin Hassan. "Neutrosophic vague soft expert set theory." Journal of Intelligent & Fuzzy Systems 30, no. 6 (2016): 3691–702. http://dx.doi.org/10.3233/ifs-162118.

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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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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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Selvakumari, K., and S. Lavanya. "Neutrosophic Fuzzy Soft Game." International Journal of Engineering & Technology 7, no. 3.34 (2018): 667. http://dx.doi.org/10.14419/ijet.v7i3.34.19412.

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The Soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainity.This paper is devoted to the discussions of Neutrosophic fuzzy soft set. A new game modelis proposed and called Neutrosophicfuzzy soft game since it is based on Neutrosophic fuzzy soft set theory. We concentrate on discussing a class of two person zero-sum games with Neutrosophic fuzzy soft payoffs.The proposed scheme is illustrated by an example regarding the pure strategy problem.

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Alkhazaleh, Shawkat. "n-Valued refined neutrosophic soft set theory." Journal of Intelligent & Fuzzy Systems 32, no. 6 (2017): 4311–18. http://dx.doi.org/10.3233/jifs-16950.

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Nisar, Kottakkaran Sooppy, Muhammad Farman, Harish Garg, and Mahmoud Abdel-Aty. "Soft Computing with Neutrosophic and fractional order frameworks: A state-of-the-Art review." International Journal of Neutrosophic Science 25, no. 3 (2025): 573–92. https://doi.org/10.54216/ijns.250345.

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This study reviews a comprehensive mathematical framework known as neutrosophic soft sets, which combines neutrosophic theory with the soft set theory. Also, we review neutrosophic fractional order functions. For decision making, this framework effectively conveys ambiguity and uncertainty. The developments in soft set theory and neutrosophic set theory are thoroughly examined in this article. We review the advancements of both theories in general. We examine the qualities, applications, and theoretical underpinnings of both theories. We study the combination of neutrosophic soft set theory an

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V., Ramadas, and P. Antony Samy V. "TRIANGULAR MEMBERSHIP FUNCTIONS OF N-FUZZY SOFT REGULAR BI-IDEALS." International Journal of Applied and Advanced Scientific Research 3, no. 1 (2018): 169–74. https://doi.org/10.5281/zenodo.1193689.

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In this paper, we investigated the new contribution to soft set theory called N- fuzzy neutrosophic soft theory over soft regular groupoids. Also complemented, N-level set and various ideal structures have been studied with suitable examples.

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Saeed, Muhammad, Muhammed Basit Ali, Atiqe Rahman, and Muhammad Yasir Hayat Malik. "A multi-attribute decision making context for supply chain management using possibility single-valued neutrosophic soft settings." Yugoslav Journal of Operations Research, no. 00 (2024): 33. http://dx.doi.org/10.2298/yjor240315033s.

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Argued decisions, risk estimation, empirical study, forecasts, apprehension supervision, and productive exposition depend on the degree of possibility. It enables us to assess the degree to which specific results are acceptable and to make more informed decisions by drawing on the information at our disposal and logic. Although some scholars have previously examined hybrid structures resembling fuzzy soft sets with possibility degree settings serving as fuzzy membership grades, the current study introduces an innovative structure that permits more adaptable and comprehensive settings: single-v

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Book chapters on the topic "Neutrosophic soft multi-set theory"

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Subashini, P., and R. Sophia Porchelvi. "On Solving a Multi-criteria Decision Making Problem Using Neutrosophic Soft Set and Its Application." In Lecture Notes in Networks and Systems. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-0185-1_4.

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Gómez, Yudel, Rafael Bello, Ann Nowé, Enrique Casanovas, and J. Taminau. "Multi-colony ACO and Rough Set Theory to Distributed Feature Selection Problem." In Distributed Computing, Artificial Intelligence, Bioinformatics, Soft Computing, and Ambient Assisted Living. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02481-8_65.

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Palanikumar, M., V. Sreelatha Devi, Chiranjibe Jana, and Gerhard Wilhelm Weber. "Multi-Criteria Group Decision-Making q-Rung Neutrosophic Interval-Valued Soft Set TOPSIS Aggregating Operator for the Selection of Diagnostic Health Imaging." In Fuzzy Optimization, Decision-making and Operations Research. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-35668-1_22.

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Debnath, Somen. "Neutrosophic Fuzzy Soft Matrix Theory and Its Application in Group Decision Making." In Handbook of Research on Advances and Applications of Fuzzy Sets and Logic. IGI Global, 2022. http://dx.doi.org/10.4018/978-1-7998-7979-4.ch033.

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In 2020, Sujit et al. introduced the notion of the neutrosophic fuzzy set (NFS) to deal with uncertainty under a fuzzy environment where the fuzzy membership grade of every element of the field of the domain is associated with three independent neutrosophic components, namely truth, indeterminacy, and falsity membership grade. The main focus of the chapter is to introduce a neutrosophic fuzzy soft set (NFSS) to deal with uncertainty parametrically, and it gives the approximate solution to the problem. NFSS is a mixture of a neutrosophic set, fuzzy sets, and soft sets. So, it can be treated as

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Santhi, S., S. Sandhiya, and K. Srinivasan. "An Approach of Selecting Best School Using Neutrosophic Hyper Soft Set." In Advances in Systems Analysis, Software Engineering, and High Performance Computing. IGI Global, 2024. http://dx.doi.org/10.4018/979-8-3693-2085-3.ch006.

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Decision-making analysis is one of the best ways to choose the perfect alternative for any specified purpose. Fuzzy theory overcomes the vague and uncertain conditions. Neutrosophic set was an extension of fuzzy set theory. Application of neutrosophic hyper soft set is a major tool in solving the multi-criteria decision-making problem. In this chapter, a numerical example has been framed to select the best school in the certain locality using the proposed algorithm. The parameters have been given in the form of neutrosophic hyper soft set. Comparison was done with the existing method.

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Ali, Mumtaz, and Florentin Smarandache. "Neutrosophic Soft Sets and Their Properties." In Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-4666-9798-0.ch014.

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Soft set plays an important role in the theory of approximations, as parameterized family of subsets in the universe of discourse. On the other hand, neutrosophic set is based on the neutrosophic philosophy, which states that: Every idea A has an opposite anti(A) and its neutral neut(A). This is the main theme of neutrosophic sets and logics. This chapter is about the hybrid structure called neutrosophic soft set, i.e. a soft set defined over a neutrosophic set. This chapter begins with the introduction of soft sets and neutrosophic sets. The notions of neutrosophic soft sets are defined and t

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Voskoglou, Michael Gr, Joachim Feuerstein, and Evangelos Athanassopoulos. "Use of Soft and Neutrosophic Sets for a Mathematical Representation of the Ethical Rules." In NeutroGeometry, NeutroAlgebra, and SuperHyperAlgebra in Today's World. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-4740-6.ch005.

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Soft and neutrosophic sets are used in this chapter as tools for introducing a multi-valued logic for ethics. The introduction of a multi-valued logic in ethics is not a new idea, but there is not any integrated proposal about this reported in the literature until now. The target is not to add another theory about ethics, but instead to create a new basis enabling a modern approach to the subject. The chapter starts by examining the role of human logic and statistical thinking for the creation and evolution of ethics. A brief historical account of the development of ethics follows with emphasi

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Fu, Yuhua. "Creating Generalized and Hybrid Set and Library with Neutrosophy and Quad-Stage Method." In Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-4666-9798-0.ch015.

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Generalized and hybrid set can be created with neutrosophy and quad-stage method. Firstly the generalized and hybrid neutrosophic set is discussed. Secondly the combination or synthetical body of generalized and hybrid sets is named as “library” (various generalized and hybrid sets can be put into the related “library”); such as “mathematics library”, “physics library”, and the like. As for the constitution of “library”, the concept and methodology of a special “Four-library” are proposed. Neutrosophy and quad-stage method can also be used to solve many actual problems within the framework of

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Sinha, Kalyan, and Pinaki Majumdar. "QSVN Soft Sets and Their Applications in Student Classification." In Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-7836-3.ch014.

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For a learner, grades are very important. However, our modern educational system cannot provide correct grades to a student. In the current grading system, overall educational activities are not measured perfectly. Different letter grades are given to students in different subjects. The class rank is determined by considering average grade of these subjects. All these well-known methods of grading are not errorless. Thus, modern grading systems cannot be a proper reflection of student knowledge. In recent years, several authors have studied problems regarding educational measurement, particula

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Priyadarsini, Sonali, Said Broumi, and Ajay Vikram Singh. "Application of Neutrosophic Soft Set to Assess Academic Performance of Students Using Bloom's Taxonomy." In Handbook of Research on the Applications of Neutrosophic Sets Theory and Their Extensions in Education. IGI Global, 2023. http://dx.doi.org/10.4018/978-1-6684-7836-3.ch006.

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A key aspect of human cognition is learning, a universal process that all humans undergo. In order to learn or improve one's knowledge and abilities, it integrates influences from the cognitive, emotional, and environmental spheres. There are vast amounts of studies and a wide range of hypotheses that attempt to describe the workings of the learning process. The purpose was to gain an objective understanding of how individuals learn and then build pedagogical strategies appropriately. In this chapter, neutrosophic soft sets, a novel mathematical technique for dealing with uncertainty, are util

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Conference papers on the topic "Neutrosophic soft multi-set theory"

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Alkhazaleh, Shawkat. "n-valued refined neutrosophic soft set theory." In 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). IEEE, 2016. http://dx.doi.org/10.1109/fuzz-ieee.2016.7738004.

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Azimi, Ali, Daniel Holz, Jozsef Kövecses, Jorge Angeles, and Marek Teichmann. "Dynamics Simulation of Rovers on Soft Terrain: Theory, Algorithms, and Experimental Validation." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-35548.

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A new framework is developed in this paper for the efficient implementation of semi-empirical terramechanics models in multibody dynamics environments. In this approach, for every wheel in contact with soft soil, unilateral contact constraints are added to the solver in both the normal direction and the tangent plane. The forces associated with the tangent plane, like traction and rolling resistance, are formulated in this approach as set-valued functions, whose properties are determined by deregularization of the above-mentioned terramechanics relations. As shown in this paper, this leads to

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Blanchi, Yann, Corinne Touati, and Elizabeth Mortamais. "Adaptive architecture, an implementation with game theory. Emotional input and pneumatically driven actuator." In International Conference on the 4th Game Set and Match (GSM4Q-2019). Qatar University Press, 2019. http://dx.doi.org/10.29117/gsm4q.2019.0034.

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In the active context of adaptive architecture, this proposal tackles the field of Human Building Interaction. Indeed, material would no longer be inert but activated by the users, programmable and equipped with memory. The information chain penetrating each component of the house forms a field of globalities. On the one hand, in line with the under development of smart materials, giving intelligence to previously passive materials, we consider the pneumatically driven actuator material as soft robot and programmable and on the other hand, we implement swarm communications with means of innova

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