The Boolean Algebraic Properties of Measure-based Fuzzy Logic

J. Lu and S. Zhao (PRC)


Zadeh's fuzzy logic, measure-based fuzzy logic, Boolean algebra


: 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 satisfies all the axioms of Boolean algebra. In this paper, a complete and thorough proof is given for this.

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