Abstract
An extended notion of binary valuation, referred to as fuzzy valuation, is introduced for vague or fuzzy concepts. It is shown that the behaviour of agents voting on the truth of sentences from a language of the propositional calculus according to such valuations can be described in terms of fuzzy logic. The concept of fuzzy valuation is extended to the predicate calculus and is shown to generate a notion of fuzzy interpretation 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 described.
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