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Partitioned Maclaurin symmetric mean operators in bipolar complex fuzzy sets for multiattribute decision making [PDF]
Scientific ReportsMathematical tools are crucial for dealing with uncertainty because they provide a rigorous and logical framework for evaluating, measuring, and making decisions in the presence of ambiguous information.
Ubaid ur Rehman +3 more
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Bipolar fuzzy GE-algebras [PDF]
Journal of Fuzzy Extension and ApplicationsThis paper introduces the concept of a bipolar fuzzy GE-algebra within the framework of GE-algebras and explores its key properties. It offers a characterization of a bipolar fuzzy GE-algebra utilizing the negative ∈λ-set and the positive ∈α-set ...
Kyoung Ja Lee +2 more
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Hesitant Bipolar-Valued Neutrosophic Set: Formulation, Theory and Application
IEEE Access, 2019 This paper proposes a hesitant bipolar-valued neutrosophic set (HBVNS) based on the combination of bipolar neutrosophic sets and hesitant fuzzy sets.
Azzah Awang, Mumtaz Ali, Lazim Abdullah
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Mathematical and Computational Applications, 2018 In this paper, we apply the notion of bipolar-valued fuzzy set to UP-algebras. We introduce the notions of bipolar fuzzy UP-subalgebras (resp., bipolar fuzzy UP-filters, bipolar fuzzy UP-ideals, and bipolar fuzzy strongly UP-ideals) of UP-algebras and ...
Korawut Kawila +2 more
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Hesitant Bipolar-Valued Fuzzy Soft Sets and Their Application in Decision Making
Complexity, 2020 As an extension of fuzzy sets, hesitant bipolar-valued fuzzy set is a new mathematical tool for dealing with fuzzy problems, but it still has the problem with the inadequacy of the parametric tools.
Jin-Ying Wang, Yan-Ping Wang, Lei Liu
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A New Approach to Evaluate Regular Semirings in terms of Bipolar Fuzzy k-Ideals Using k-Products
Journal of Mathematics, 2022 In this paper, we provide a generalized form of ideals that is k-ideals of semirings with the combination of a bipolar fuzzy set (BFS). The BFS is a generalization of fuzzy set (FS) that deals with uncertain problems in both positive and negative aspects.
Shahida Bashir +3 more
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Bipolar Dissimilarity and Similarity Correlations of Numbers
Mathematics, 2022 Many papers on fuzzy risk analysis calculate the similarity between fuzzy numbers. Usually, they use symmetric and reflexive similarity measures between parameters of fuzzy sets or “centers of gravity” of generalized fuzzy numbers represented by real ...
Ildar Z. Batyrshin, Edit Tóth-Laufer
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Regular Ordered Ternary Semigroups in Terms of Bipolar Fuzzy Ideals
Mathematics, 2019 Our main objective is to introduce the innovative concept of (α,ß)-bipolar fuzzy ideals and (α,ß)-bipolar fuzzy generalized bi-ideals in ordered ternary semigroups by using the idea of belongingness and quasi-coincidence of an ...
Shahida Bashir +2 more
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Rough bipolar fuzzy ideals in semigroups
Complex & Intelligent Systems, 2023 Fuzzy set (FS) theory and rough sets (RSs) are constructed to accommodate the data uncertainty. In contrast, the bipolar FS (BFS) theory can tackle the uncertainty and the bipolarity of the data in different circumstances.
Nosheen Malik +5 more
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Ratio Mathematica, 2022 In this paper, we introduce Bipolar Pythagorean fuzzy soft matrix topology and define Bipolar Pythagorean Fuzzy Regular generalized closed soft matrix and study some properties over the soft matrices.
S. Nithiyapriya, S. Maragathavalli
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