“Soft” Degrees of Consensus Under Fuzzy Preferences and Fuzzy Majorities

We advocate a need for a degree of consensus to reflect a human-consistent and realistic perception of consensus. Starting with fuzzy preference relations and a fuzzy majority expressed by a fuzzy linguistic quantifier, we show how to develop a degree of consensus which expresse a degree to which, say, most of the relevant individuals agree as to almost all of the important alternatives. We employ Zadeh’s (1983) and Yager’s (1983) fuzzy-logic-based calculi of linguistically quantified statements, and Yager’s (1988, 1996) ordered weighted averaging (OWA) operator based calculus.

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