A VOTING MECHANISM FOR FUZZY-LOGIC

An extended notion of binary valuation, referred to as fuzzy valuation , is introduced for vague or fuzzy concepts. It is shown that the beha viour of agents voting on the truth of sentences from a language of th e propositional calculus according to such valuations can be described in terms of fuzzy logic. The concept of fuzzy valuation is extended t o the predicate calculus and is shown to generate a notion of fuzzy in terpretation of a predicate. The relationship between fuzzy valuations , fuzzy sets, random sets and mass assignments is explored. Finally a semantics for possibility measures based on fuzzy valuations is descri bed. (C) 1998 Elsevier Science Inc. All rights reserved.