摘要
模糊蕴涵代数是取值于[0,1]区间上的模糊逻辑系统的一种代数抽象。通过引入模糊广义正则蕴涵代数的概念,对其性质进行了讨论,并给出了广义正则模糊蕴涵代数的一些等价刻画。
Fuzzy Implication Algebra is a kind of algebraic abstraction ot unplicaUve connecuon of logic system which values in [0,1]. In this paper, the concept of Fuzzy Generalized Regular Implication Algebra is introduced. Some properties of Fuzzy Generalized Regular Implication Algebra are obtained and some equivalent conditions that a Fuzzy Implication Algebra is generalized regular are given.
基金
教育部人文社会科学研究2006年度规划项目
编号:06JA724003
关键词
近似推理
模糊逻辑
模糊蕴涵代数
模糊正则蕴涵代数
广义正则
Approximate Reasoning
Fuzzy Logic
Fuzzy Implication Algebra
Regular Fuzzy Implication Algebra
Fuzzy Generalized Regular Implication Algebra