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A consensus-reaching process under intuitionistic fuzzy preference relations. (English) Zbl 1048.68098

Summary: 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.

MSC:

68T20 Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.)
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