Abstract

Some applications of Fuzzy Set theory require an indication of how well a set of fuzzy sets satisfy a relation: where the relation represents a connection between the spaces on which the fuzzy sets are defined, perhaps in the form of a hypothesis. Two measures of such satisfaction, one a scalar and one a function, are compared in this paper: and the derivation of the scalar from the function is given. The relevance of these measures to applications, approximate reasoning in particular, is indicated.

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