Abstract
We introduce two methodologies for interpreting quantifiers in binary logic. We then extend these interpretations to the case where the quantifiers are linguistic. We use the formalism of fuzzy subset theory to provide a framework in which to interpret linguistic quantifiers. We discuss various methodologies for measuring the cardinality of a fuzzy set including the concept of a fuzzy cardinality. Among the important questions we study in the paper is the problem of making quantified statements based upon the observation of a sample from a set of objects.
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