Journal ArticleDOI
Goal programming approaches to obtain the priority vectors from the intuitionistic fuzzy preference relations
TLDR
The priority method on the intuitionistic fuzzy preference relation (IFPR) is proposed and the equivalent interval matrices of the IFPR are introduced in order to avoid the operational difficulty in dealing with the intuitionism sets.About:
This article is published in Computers & Industrial Engineering.The article was published on 2009-11-01. It has received 139 citations till now. The article focuses on the topics: Preference relation & Goal programming.read more
Citations
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Journal ArticleDOI
Intuitionistic Fuzzy Bonferroni Means
Zeshui Xu,Ronald R. Yager +1 more
TL;DR: An intuitionistic fuzzy Bonferroni mean (IFBM) is developed and applied to multicriteria decision making and its variety of special cases are discussed.
Journal ArticleDOI
Some intuitionistic fuzzy Einstein hybrid aggregation operators and their application to multiple attribute decision making
Xiaofei Zhao,Guiwu Wei +1 more
TL;DR: This paper investigates the multiple attribute decision making (MADM) problems with intuitionistic fuzzy numbers and develops some new Einstein hybrid aggregation operators, such as the intuitionism fuzzy Einstein hybrid averaging (IFEHA) operator and intuitionistic furry Einstein hybrid geometric (IFEHG) operator.
Journal ArticleDOI
Priorities of Intuitionistic Fuzzy Preference Relation Based on Multiplicative Consistency
Huchang Liao,Zeshui Xu +1 more
TL;DR: A new definition of multiplicative consistent IFPR is given, which is based on the membership and nonmembership degrees of the intuitionistic fuzzy judgments, and a formula, which involves the underlying intuitionism fuzzy weights of the IFPR, is proposed to construct such a multiplicative consistency IFPR.
Journal ArticleDOI
Multiplicative consistency of intuitionistic reciprocal preference relations and its application to missing values estimation and consensus building
TL;DR: The feedback mechanism is proved to converge to unanimous consensus when all experts are provided with recommendations and these are fully implemented, and an IRPR fuzzy majority based quantier-guided nondominance degree based prioritisation method using the associated score reciprocal preference relation is proposed to obtain the nal solution of consensus.
Journal ArticleDOI
A survey of approaches to decision making with intuitionistic fuzzy preference relations
Zeshui Xu,Huchang Liao +1 more
TL;DR: A comprehensive survey on decision making withIFPRs is presented with the aim of providing a clear perspective on the originality, the consistency, the prioritization, and the consensus of IFPRs.
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.
Journal ArticleDOI
Applications of the extent analysis method on fuzzy AHP
TL;DR: The use of triangular fuzzy numbers for pairwise comprison scale of fuzzy AHP is introduced, and the use of the extent analysis method for the synthetic extent value S i of the pairwise comparison is used.
Journal ArticleDOI
A fuzzy extension of Saaty's priority theory
TL;DR: A fuzzy version of Saaty's pairwise comparison method (1980) extended by de Graan and Lootsma (1981), adapted in such a way, that decision-makers are asked to express their opinions in fuzzy numbers with triangular membership functions.
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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Fuzzy preference orderings in group decision making
TL;DR: F fuzzy preference orderings are defined as fuzzy binary relations satisfying reciprocity and max-min transitivity and those orderings might be useful for proceeding the group decision making process smoothly, in the same manner as the extended contributive rule method.