Abstract :
An algorithm for obtaining simple disjunctive decompositions of fuzzy functions is described. The insufficiency of Boolean methods for simplification of fuzzy functions is discussed. Special properties of the decomposed fuzzy structures are introduced and their relationships to two-valued logic are investigated. This new algorithm is the first one in a containing research in the area of multivalued and fuzzy decompositions of complex systems.
Keywords :
Decomposition algorithm, fuzzy consensus, fuzzy map, fuzzy switching function, simple disjunctive decompositions.; Application software; Boolean algebra; Computer science; Fuzzy logic; Fuzzy set theory; Fuzzy sets; Fuzzy systems; Lattices; Logic design; Decomposition algorithm, fuzzy consensus, fuzzy map, fuzzy switching function, simple disjunctive decompositions.;
