Studies on unequal weighted universal combination operation based on interval [a,b

Abstract

Fuzzy logic that permits the propositional truth value to vary continuously can resolve effectively many problems, but its propositional conjunctions are still rigid. Therefore fuzzy logic with parameters becomes an important research direction. Universal logic is one of fuzzy logic with parameters. It includes not only the continuity of propositional truth value, but also the sequential changeability (relationship flexibility) among propositions. It proposed seven operation models which are continuously various operator clusters. One of them is universal combination operation model of universal logic which can satisfy the requirement of integrated decision of continuous valued logic. Two unequal weighted universal combination operation model based on interval [a,b] are proposed, and special operators of 0-level generator weighted universal combination operation model are proved. It not only satisfies the requirement of integrated decision in complex system, but perfects propositional conjunctions theory of universal logic.