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Dual Hesitant Fuzzy Sets [PDF]
Journal of Applied Mathematics, 2012 In recent decades, several types of sets, such as fuzzy sets, interval‐valued fuzzy sets, intuitionistic fuzzy sets, interval‐valued intuitionistic fuzzy sets, type 2 fuzzy sets, typenfuzzy sets, and hesitant fuzzy sets, have been introduced and investigated widely. In this paper, we propose dual hesitant fuzzy sets (DHFSs), which encompass fuzzy sets,
Zhu, Bin, Xu, Zeshui, Xia, Meimei
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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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Technological and Economic Development of Economy, 2017 Hesitant fuzzy sets (HFSs) are a useful tool to manage situations in which the decision makers (DMs) hesitate about several possible values for the membership to assess a variable, alternative, etc. However, HFSs have the information loss problem and cannot identify different DMs, which interferes with the application of HFSs in decision making.
Zhu, Bin, Xu, Zeshui
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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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International Journal of Intelligent Systems, 2010 Several extensions and generalizations of fuzzy sets have been introduced in the literature, for example, Atanassov's intuitionistic fuzzy sets, type 2 fuzzy sets, and fuzzy multisets. In this paper, we propose hesitant fuzzy sets. Although from a formal point of view, they can be seen as fuzzy multisets, we will show that their interpretation differs ...
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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.
Janiš, Vladimír +2 more
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Type-2 Hesitant Fuzzy Sets [PDF]
Fuzzy Information and Engineering, 2018 By using type-2 fuzzy sets and hesitant fuzzy sets, type-2 hesitant fuzzy sets are defined and their mathematical structure and characteristics are given.
Liu Feng, Fan Chuan-qiang, Xie Wei-he
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New Operations over Hesitant Fuzzy Sets
Fuzzy Information and Engineering, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Verma, Rajkumar, Sharma, Bhu Dev
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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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