Abstract :
It is shown that the minimum canonical sum-of-products form of a given fuzzy function is the union of all its prime implicants. A reduction rule, which is necessary and sufficient, is presented that will generate all the prime implicants.
Keywords :
Fuzzy function, fuzzy function reduction rule, fuzzy operations, fuzzy relations, fuzzy variable, prime implicant of fuzzy function.; Algebra; Artificial intelligence; Boolean functions; Fuzzy set theory; Fuzzy sets; Fuzzy systems; IEL; Lattices; Polynomials; Fuzzy function, fuzzy function reduction rule, fuzzy operations, fuzzy relations, fuzzy variable, prime implicant of fuzzy function.;
