Logic-Based Measures
Valerie V. Cross, Thomas A. Sudkamp · Studies in fuzziness and soft computing · 2002
Logic-based compatibility measures [97, 98] use the interpretation the membership function of a fuzzy set as indicating a degree of truth of a proposition represented by the fuzzy set (see Section 4.4). We will consider two methods for generating compatibility measures from a logical interpretation of membership. The first approach, which has been employed as a basis for inference in fuzzy rule-based expert systems, uses fuzzy truth values to represent the degree of compatibility between two fuzzy sets. The second approach defines an elementwise degree of equality between membership functions of two fuzzy sets.