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A consensus‐reaching process under intuitionistic fuzzy preference relations
Author(s) -
Szmidt Eulalia,
Kacprzyk Janusz
Publication year - 2003
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.10119
Subject(s) - preference , fuzzy logic , degree (music) , process (computing) , mathematics , preference relation , computer science , perception , fuzzy set , artificial intelligence , psychology , statistics , physics , neuroscience , acoustics , operating system
Abstract We extend the main idea of a fuzzy analysis of consensus—that is based on a concept of a distance from consensus—to a case when individual testimonies are individual intuitionistic fuzzy preference relations, as opposed to fuzzy preference relations commonly used. Intuitionistic fuzzy preference relations, that in addition to a membership degree (from [0, 1]) include a hesitation margin (concerning the membership degree), can better reflect the very imprecision of testimonies (expressing preferences) of the individuals during the consensus‐reaching process. Our new solution, obtained as an interval‐valued measure of a distance from consensus, better reflects both real human perception and a soft nature of consensus. © 2003 Wiley Periodicals, Inc.