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Dual Hesitant Fuzzy Sets [PDF]
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, type 𝑛 fuzzy sets, and hesitant fuzzy sets, have been introduced and ...
Bin Zhu, Zeshui Xu, Meimei Xia
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A note on operations of hesitant fuzzy sets [PDF]
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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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.
Bin Zhu, Zeshui Xu
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An integrated VIKOR–AHP method for green energy systems based on q-fractional hesitant fuzzy multi-criteria decision-making [PDF]
The q-fractional hesitant fuzzy sets (q-FHFSs) extend the conventional hesitant and intuitionistic fuzzy sets by providing a richer framework for representing uncertainty.
Hariwan Fadhil M.Salih +3 more
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Correlation Measures of Dual Hesitant Fuzzy Sets [PDF]
The dual hesitant fuzzy sets (DHFSs) were proposed by Zhu et al. (2012), which encompass fuzzy sets, intuitionistic fuzzy sets, hesitant fuzzy sets, and fuzzy multisets as special cases. Correlation measures analysis is an important research topic.
Lei Wang, Mingfang Ni, Lei Zhu
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Hesitant Fuzzy Subalgebras, Ideals and Congruences on Autometrized Algebras [version 2; peer review: 2 approved, 1 approved with reservations] [PDF]
This paper introduces the study of hesitant fuzzy subalgebras of autometrized algebras, obtains some of their properties, and gives some examples. Next, we introduce the concept of the hesitant fuzzy ideal and examine some of its properties.
Gebrie Yeshiwas Tilahun
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New Generalizations of sup-Hesitant Fuzzy Ideals of Semigroups
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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Hesitant fuzzy set and its types [PDF]
Since the problems of everyday life are relative , so far various tools such as fuzzy sets, intuitive fuzzy sets, etc. have been expressed to express these ambiguities in mathematical modeling.
Fatemeh Babakordi
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Optimal Granulation Selection Method Based on Multi-granulation Rough Intuitionistic Hesitant Fuzzy Sets [PDF]
In order to obtain the optimal granulations after reduction from the intuitionistic hesitant fuzzy decision information system with multiple attributes,this paper deals with the uncertain information in this system from the perspective of multi-gra ...
XUE Zhan-ao, SUN Bing-xin, HOU Hao-dong, JING Meng-meng
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Convexity of hesitant fuzzy sets [PDF]
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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