Abstract

The subclass of logic-based compatibility measures built using inverse truth functional modification produces a fuzzy truth value that indicates the truth of one proposition given another. To obtain a compatibility measure requires the transformation of the fuzzy truth value into a scalar value. With the preceding interpretation of the fuzzy set produced truth functional modification, either the domain attribute fuzzy set or the evidential fuzzy set could be the reference. Consequently, two separate logic compatibility measures are tested, one with the evidence as the reference L Evid/sup and the other with the domain as the reference L Attr/sup . If the nonreference fuzzy set has multiple elements with maximal membership value, the supremum of the membership degrees of these elements in the reference fuzzy set is used to obtain the scalar compatibility measure.

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