On Unification of Methods in Theories of Fuzzy Sets, Hesitant Fuzzy Set, Fuzzy Soft Sets and Intuitionistic Fuzzy Sets [PDF]
Mathematics, 2021 The main goal of this publication is to show that the basic constructions in the theories of fuzzy sets, fuzzy soft sets, fuzzy hesitant sets or intuitionistic fuzzy sets have a common background, based on the theory of monads in categories. It is proven
Jiří Močkoř, David Hýnar
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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
Bicheng Yu +4 more
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Type-1 Fuzzy Sets and Intuitionistic Fuzzy Sets [PDF]
Algorithms, 2017 A comparison between type-1 fuzzy sets (T1FSs) and intuitionistic fuzzy sets (IFSs) is made. The operators defined over IFSs that do not have analogues in T1FSs are shown, and such analogues are introduced whenever possible.
Krassimir T. Atanassov
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Duality in Fuzzy Sets and Dual Arithmetics of Fuzzy Sets [PDF]
Mathematics, 2018 The conventional concept of α-level sets of fuzzy sets will be treated as the upper α-level sets. In this paper, the concept of lower α-level sets of fuzzy sets will be introduced, which can also be regarded as a dual concept of upper ...
Hsien-Chung Wu
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Various distance between generalized Diophantine fuzzy sets using multiple criteria decision making and their real life applications [PDF]
Scientific ReportsThis paper describes a generalized Diophantine fuzzy sets, which can be seen as a generalization of both Diophantine fuzzy sets and Pythagorean fuzzy sets.
Murugan Palanikumar +4 more
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Another View on Picture Fuzzy Soft Sets and Their Product Operations with Soft Decision-Making
Journal of New Theory, 2022 Cuong [Picture Fuzzy Sets, Journal of Computer Science and Cybernetics 30 (4) (2014) 409–420] has introduced the concept of picture fuzzy soft sets (pfs-sets) relying on his definition and operations of picture fuzzy sets (pf -sets), in which there exist
Samet Memiş
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Inclusion of uncertainty with different types of fuzzy numbers into DEMATEL
Serbian Journal of Management, 2021 Nowadays the multi-criteria decision making is very complicated due to uncertainty, vagueness, limited sources, knowledge and time. The Decision-making Trial and Evaluation Laboratory (DEMATEL) method is a widely used multi-criteria decision-making ...
Tjaša Šmidovnik, Petra Grošel
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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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Some novel correlation coefficients of spherical fuzzy sets with their application in pattern recognition [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2022 A spherical fuzzy set is a generalization of picture fuzzy sets, intuitionistic fuzzy sets, and fuzzy sets in which the square sum of the membership, non-membership, and neutrality values is at most one. The correlation coefficient is a crucial tool in
Abdul Haseeb Ganie
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New Generalizations of sup-Hesitant Fuzzy Ideals of Semigroups
International Journal of Analysis and Applications, 2022 As general concepts of sup-hesitant fuzzy right (resp., left, interior, two-sided) ideals of semigroups, the concepts of sup+α-hesitant fuzzy right (resp., left, interior, two-sided) ideals and sup-β-hesitant fuzzy right (resp., left, interior, two-sided)
Uraiwan Jittburus +5 more
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