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Decomposition theorems and extension principles for hesitant fuzzy sets [PDF]
Information Fusion, 2018 We prove a decomposition theorem for hesitant fuzzy sets, which states that every typical hesitant fuzzy set on a set can be represented by a well-structured family of fuzzy sets on that set.
Alcantud, José Carlos R. +1 more
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A note on operations of hesitant fuzzy sets [PDF]
International Journal of Computational Intelligence Systems, 2015 In this paper, properties of operations and algebraic structures of hesitant fuzzy sets are investigated. Semilattices of hesitant fuzzy sets with union and intersection are discussed, respectively.
Zheng Pei, Liangzhong Yi
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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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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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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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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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Ranked hesitant fuzzy sets for multi-criteria multi-agent decisions [PDF]
, 2022 This paper introduces and investigates ranked hesitant fuzzy sets, a novel extension of hesitant fuzzy sets that is less demanding than both probabilistic and proportional hesitant fuzzy sets.
Alcantud, José Carlos R.
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Scores of hesitant fuzzy elements revisited: “Was sind und was sollen” [PDF]
, 2023 [EN] This paper revolves around the notion of score for hesitant fuzzy elements, the constituent parts of hesitant fuzzy sets. Scores allow us to reduce the level of uncertainty of hesitant fuzzy sets to classical fuzzy sets, or to rank alternatives ...
Alcantud, José Carlos R. +3 more
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