Similarity, Interpolation, and Fuzzy Rule Construction
A method for the construction of fuzzy concepts and fuzzy if-then rules based on similarity and paradigmatic examples is presented. It is shown that all normal fuzzy sets may be realized as the interpolation of paradigmatic examples by a similarity relation. The class of fuzzy if-then rules that may be obtained by interpolation, however, is a proper subset of the rules definable by disjunctive combination.
(1993). Similarity, Interpolation, and Fuzzy Rule Construction. Fuzzy Sets and Systems, 58 (1), 73-86.