Journal ArticleDOI
Distances between intuitionistic fuzzy sets
Eulalia Szmidt,Janusz Kacprzyk +1 more
TLDR
It is shown that all three parameters describing intuitionistic fuzzy sets should be taken into account while calculating those distances between intuitionistically fuzzy sets.About:
This article is published in Fuzzy Sets and Systems.The article was published on 2000-09-16. It has received 1379 citations till now. The article focuses on the topics: Fuzzy set operations & Defuzzification.read more
Citations
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Journal ArticleDOI
Hesitant fuzzy sets
TL;DR: It is proved that the envelope of the hesitant fuzzy sets is an intuitionistic fuzzy set, and it is proved also that the operations proposed are consistent with the ones of intuitionist fuzzy sets when applied to the envelope.
Journal ArticleDOI
Intuitionistic Fuzzy Aggregation Operators
TL;DR: Based on score function and accuracy function, a method is introduced for the comparison between two intuitionistic fuzzy values and some aggregation operators are developed, such as the intuitionism fuzzy weighted averaging operator, intuitionists fuzzy ordered weighted averaging operators, and intuitionistic fuzziness hybrid aggregation operator, for aggregating intuitionist fuzzy values.
Journal ArticleDOI
Some geometric aggregation operators based on intuitionistic fuzzy sets
Zeshui Xu,Ronald R. Yager +1 more
TL;DR: This paper develops some new geometric aggregation operators, such as the intuitionistic fuzzy weighted geometric (IFWG) operator, the intuitionists fuzzy ordered weighted geometric(IFOWG)operator, and the intuitionism fuzzy hybrid geometric (ifHG) operators, which extend the WG and OWG operators to accommodate the environment in which the given arguments are intuitionistic fuzz sets.
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A multi-criteria intuitionistic fuzzy group decision making for supplier selection with TOPSIS method
TL;DR: In this study, TOPSIS method combined with intuitionistic fuzzy set is proposed to select appropriate supplier in group decision making environment and Intuitionistic fuzzy weighted averaging (IFWA) operator is utilized to aggregate individual opinions of decision makers for rating the importance of criteria and alternatives.
Journal ArticleDOI
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.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
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
Intuitionistic Fuzzy Sets: Theory and Applications
TL;DR: The basic definitions and properties of the Intuitionistic Fuzzy Sets (IFSs) are introduced in the book and readers will find discussions on some of the IFS extensions (for example, interval-values IFSs, temporal I FSs and others) and applications.
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More on intuitionistic fuzzy sets
TL;DR: Two news operators on intuitionistic fuzzy sets are defined and their basic properties are studied to introduce new results on intuitionism fuzzy sets.