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Dual Extended Hesitant Fuzzy Sets [PDF]
Symmetry, 2019 Hesitant fuzzy sets extend fuzzy sets by considering many-valued sets of membership degrees. Real applications validate this model and decision making approaches of various forms permit to act in a flexible manner. If we can avail ourselves of hesitant information on non-membership degrees too, then dual hesitant fuzzy sets provide a natural extension ...
José Carlos R. Alcantud +3 more
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Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets [PDF]
Journal of Mathematics, 2022 Since the sufficient conditions for the maximum value of the intuitionistic fuzzy entropy are not unified and the hesitant fuzzy entropy cannot be compared when the lengths of the hesitation fuzzy elements are not equal, improved axiomatic definitions of intuitionistic fuzzy entropy and hesitant fuzzy entropy are proposed, and new intuitionistic fuzzy ...
Bicheng Yu +4 more
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On inf-Hesitant Fuzzy Γ-Ideals of Γ-Semigroups
Advances in Fuzzy Systems, 2022 The notions of an inf-hesitant fuzzy Γ-ideal and a sup,inf-hesitant fuzzy Γ-ideal, which are a generalization of an interval-valued fuzzy Γ-ideal, of a Γ-semigroup are introduced and some properties are investigated.
Pongpun Julatha, Aiyared Iampan
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(inf, sup)-Hesitant Fuzzy Ideals of BCK/BCI-Algebras
International Journal of Analysis and Applications, 2022 In this paper, we introduce the concept of (inf, sup)-hesitant fuzzy ideals, which is a generalization of the concept of interval-valued fuzzy ideals, in BCK/BCI-algebras and its related properties are investigated. The concept is established in terms of
Noppakao Ratchakhwan +5 more
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Convexity of hesitant fuzzy sets [PDF]
Journal of Intelligent & Fuzzy Systems, 2018 We show that a definition of convexity based on the convexity of the score function does not guarantee preservation of convexity under intersections and provide a concept of convexity for hesitant fuzzy sets without this backdraw. We study the relationship between convex hesitant fuzzy sets and convex rough sets as their cuts.
Vladimír Janis +2 more
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A Lattice Structure on Hesitant Fuzzy Sets
IEEE Transactions on Fuzzy Systems, 2023 “Marı́a de Maeztu” Excellence Unit IMAG, reference CEX2020-001105-M, funded by MCIN/AEI/10.13039/501100011033/
Pascual Jara +3 more
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Cubic Pythagorean Hesitant Fuzzy Linear Spaces and Its Relevance in Multi Criteria Decision Making
International Journal of Analysis and Applications, 2023 Pythagorean fuzzy sets and interval valued Pythagorean fuzzy sets have an important role in decision making techniques. Pythagorean hesitant fuzzy sets are time and again used in dealing with uncertain and vague data.
Gundeti Soujanya +2 more
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Fermatean Hesitant Fuzzy Sets for Multiple Criteria Decision-Making with Applications
Fuzzy Information and Engineering, 2023 The Fermatean hesitant fuzzy set idea obtained by combining Fermatean fuzzy sets and hesitant fuzzy sets can be used in practice to simplify the solution of complicated multi-criteria decision-making problems.
Murat Kirişci
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An (α,β)-Hesitant Fuzzy Set Approach to Ideal Theory in Semigroups
Bulletin of the Section of Logic, 2022 The aim of this manuscript is to introduce the \((\alpha,\beta)\)-hesitant fuzzy set and apply it to semigroups. In this paper, as a generalization of the concept of hesitant fuzzy sets to semigroup theory, the concept of \((\alpha,\beta)\)-hesitant ...
Pairote Yiarayong
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Foundational theories of hesitant fuzzy sets and families of hesitant fuzzy sets
, 2023 Hesitant fuzzy sets find extensive application in specific scenarios involving uncertainty and hesitation. In the context of set theory, the concept of inclusion relationship holds significant importance as a fundamental definition. Consequently, as a type of sets, hesitant fuzzy sets necessitate a clear and explicit definition of the inclusion ...
Lu, Shizhan +4 more
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