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Issue:Intuitionistic fuzzy relations and consensus formations

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Title of paper: Intuitionistic fuzzy relations and consensus formations
Author(s):
Eulalia Szmidt
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
szmidt@ibspan.waw.pl
Janusz Kacprzyk
Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
kacprzyk@ibspan.waw.pl
Presented at: Fourth International Conference on IFSs, Sofia, 16-17 September 2000
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 6 (2000) Number 3, pages 1—10
Download:  PDF (5952  Kb, File info)
Abstract: The use of Zadeh’s (1983) calculus of linguistically quantified statements is proposed for the formalization of a fuzzy majority in the derivation of a degree of consensus under intuitionistic fuzzy preferences. In this article we develop ideas proposed in works of Fedrizzi (1988), Kacprzyk (1987), Kacprzyk and Fedrizzi (1986, 1988, 1989) i.e. a "soft" measure of consensus which is more human-consistent in the sense that it better reflects a real human perception of the essence of consensus in practice. Basically, the proposed consensus measure expresses the degree to which, say "most of the important individuals agree as to almost all of the relevant options". The point of departure is the set of individual testimonies which are here the individual intuitionistic fuzzy preference relations. Useing of intuitionistic fuzzy preference relations instead of fuzzy preference relations (what has been presented in the cited works) let us take into account that individuals can change their preferences during reaching consensus (they are open for new arguments). In effect we obtain final measures of consensus which are given as numbers from some intervals, what means that we are able to foresee the best and the worst of the possible results.
Keywords: consensus, degree of consensus, intuitionistic fuzzy sets, intuitionistic fuzzy preference relation, linguistically quantified statements.
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