Analysis of consensus under intuitionistic fuzzy preferences.

Abstract

We extend the main idea of a fuzzy analysis of consensus introduced by Spillman, Spillman and Bezdek [12] 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 employed. Intuitionistic fuzzy preference relations, that in addition to a membership degree (from [0, I.]) 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 solution, obtained as a new interval valued measures of a distance from consensus, better reflects both real human perception and a soft nature of consensus.

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