摘要
It is well known that Zadeh's fuzzy logic is not a Boolean algebra because it does not satisfy the Law of Excluded Middle or the Law of Contradiction, but the two-valued propositional logic does. On the other hand, a recently proposed measure-based fuzzy logic(MBFL) satisfies all the axioms of Boolean algebra. In this paper, a complete and thorough proof is given for this.
It is well known that Zadeh's fuzzy logic is not a Boolean algebra because it does not satisfy the Law of Excluded Middle or the Law of Contradiction, but the two-valued propositional logic does. On the other hand, a recently proposed measure-based fuzzy logic(MBFL) satisfies all the axioms of Boolean algebra. In this paper, a complete and thorough proof is given for this.
