Journal ArticleDOI
A method based on distance measure for interval-valued intuitionistic fuzzy group decision making
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TLDR
Some relations and operations of interval-valued intuitionistic fuzzy numbers are introduced, some types of matrices are defined and a method based on distance measure for group decision making with interval-value intuitionistic fuzziness matrices is developed.About:Ā
This article is published in Information Sciences.The article was published on 2010-01-01. It has received 256 citations till now. The article focuses on the topics: Fuzzy set operations & Fuzzy number.read more
Citations
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Distance and similarity measures for hesitant fuzzy sets
Zeshui Xu,Meimei Xia +1 more
TL;DR: A variety of distance measures for hesitant fuzzy sets are proposed, based on which the corresponding similarity measures can be obtained and can alleviate the influence of unduly large deviations on the aggregation results by assigning them low (or high) weights.
Journal ArticleDOI
Dual Hesitant Fuzzy Sets
Bin Zhu,Zeshui Xu,Meimei Xia +2 more
TL;DR: This paper proposes dual hesitant fuzzy sets (DHFSs), which encompass fuzzy sets, intuitionistic fuzzy Sets, hesitant fuzzy set, and fuzzy multisets as special cases, and investigates the basic operations and properties of DHFSs.
Journal ArticleDOI
Hesitant fuzzy prioritized operators and their application to multiple attribute decision making
TL;DR: This paper develops some prioritized aggregation operators for aggregating hesitant fuzzy information, and applies them to develop some models for hesitant fuzzy multiple attribute decision making (MADM) problems in which the attributes are in different priority level.
Journal ArticleDOI
Interval-valued hesitant preference relations and their applications to group decision making
Na Chen,Zeshui Xu,Meimei Xia +2 more
TL;DR: A new type of fuzzy preference structure, called interval-valued hesitant preference relations, is introduced to describe uncertain evaluation information in group decision making (GDM) processes and is developed in order to consider the differences of opinions between individual decision makers.
Journal ArticleDOI
Hesitant fuzzy geometric Bonferroni means
Bin Zhu,Zeshui Xu,Meimei Xia +2 more
TL;DR: The geometric Bonferroni mean (GBM) is explored considering both the BM and the geometric mean (GM) under hesitant fuzzy environment and the proposed aggregation operators to multi-criteria decision making are applied.
References
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Journal ArticleDOI
Intuitionistic fuzzy sets
TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Book
Fuzzy Set Theory - and Its Applications
TL;DR: The book updates the research agenda with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research.
Journal ArticleDOI
On ordered weighted averaging aggregation operators in multicriteria decisionmaking
TL;DR: A type of operator for aggregation called an ordered weighted aggregation (OWA) operator is introduced and its performance is found to be between those obtained using the AND operator and the OR operator.
Journal ArticleDOI
L-fuzzy sets
TL;DR: This paper explores the foundations of, generalizes, and continues the work of Zadeh in [I] and [2].
Book
Interval-Valued Intuitionistic Fuzzy Sets
TL;DR: In this chapter, the basic definitions and properties of the interval valued intuitionistic fuzzy sets (IVIFSs) will be introduced and the majority of the proofs below are analogous to the proofs from Chapter 1.