摘要
Zadeh模糊逻辑因其不满足互补律(即排中律与矛盾律)而不是一个布尔代数。本文介绍了一种非真值函数性模糊逻辑,它遵守布尔代数的互补律,并且由于引用了条件隶属度,使其具有广泛的适应性。同时还证明了Zadeh模糊逻辑是它的一个特例。
It is well known that Zadeh's fuzzy logic is not a Boolean algebra because it dose not satisfy the Law of Excluded Middle or the Law of Contradiction,but the two-valued prepositional logic dose. On the other hand, A non-truth functional measure-based fuzzy logic is proposed in this paper which satisfies all the axioms of Boolean algebra. It is proved that Zadeh's fuzzy logic is a particular case of the measure-based fuzzy logic.
出处
《微电子学与计算机》
CSCD
北大核心
2004年第10期90-92,共3页
Microelectronics & Computer
关键词
模糊逻辑
布尔代数
非真值函数性
Fuzzy logic, Boolean algebra, Non-truth functionality