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Dual Hesitant Fuzzy Sets [PDF]

open access: yesJournal 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, type đť‘› fuzzy sets, and hesitant fuzzy sets, have been introduced and ...
Bin Zhu, Zeshui Xu, Meimei Xia
doaj   +4 more sources

Extended hesitant fuzzy sets

open access: yesTechnological and Economic Development of Economy, 2016
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
doaj   +4 more sources

Correlation Measures of Dual Hesitant Fuzzy Sets [PDF]

open access: yesJournal of Applied Mathematics, 2013
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
doaj   +5 more sources

Entropy on Intuitionistic Fuzzy Sets and Hesitant Fuzzy Sets [PDF]

open access: yesJournal 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
doaj   +3 more sources

Decomposition theorems and extension principles for hesitant fuzzy sets [PDF]

open access: yesInformation 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.
JOSÉ Carlos R Alcantud, Vicenç Torra
exaly   +2 more sources

Hesitant Bipolar-Valued Fuzzy Soft Sets and Their Application in Decision Making

open access: yesComplexity, 2020
As an extension of fuzzy sets, hesitant bipolar-valued fuzzy set is a new mathematical tool for dealing with fuzzy problems, but it still has the problem with the inadequacy of the parametric tools.
Jin-Ying Wang, Yan-Ping Wang, Lei Liu
doaj   +2 more sources

Hesitant Fuzzy Soft Sets with Application in Multicriteria Group Decision Making Problems

open access: yesThe Scientific World Journal, 2015
Soft sets have been regarded as a useful mathematical tool to deal with uncertainty. In recent years, many scholars have shown an intense interest in soft sets and extended standard soft sets to intuitionistic fuzzy soft sets, interval-valued fuzzy soft ...
Jian-qiang Wang   +2 more
doaj   +2 more sources

An integrated VIKOR–AHP method for green energy systems based on q-fractional hesitant fuzzy multi-criteria decision-making [PDF]

open access: yesScientific Reports
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
doaj   +2 more sources

Hesitant Fuzzy Soft Subalgebras and Ideals in BCK/BCI-Algebras

open access: yesThe Scientific World Journal, 2014
As a link between classical soft sets and hesitant fuzzy sets, the notion of hesitant fuzzy soft sets is introduced and applied to a decision making problem in the papers by Babitha and John (2013) and Wang et al. (2014).
Young Bae Jun   +2 more
doaj   +2 more sources

Hesitant Fuzzy Subalgebras, Ideals and Congruences on Autometrized Algebras [version 2; peer review: 2 approved, 1 approved with reservations] [PDF]

open access: yesF1000Research
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
doaj   +2 more sources

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