Analysis of consensus under intuitionistic fuzzy preferences

We extend the main idea of a fuzzy analysis of consensusintroduced 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.

• Type: Conference
• Year: 2001
• Where: EUSFLAT
• Authors: Eulalia Szmidt, Janusz Kacprzyk
• Keywords: EUSFLAT 2001, EUSFLAT 2007, Fuzzy Preference Relations, Intuitionistic Fuzzy Preference, Membership Degree