基于CRI算法的蕴涵算子族L-λ-R_0模糊系统的函数逼近性及概率表示  

Functional Approximation and Probabilistic Representation of Fuzzy Systems of Family of Implication Operator L-λ-R_0 Based on CRI Method

作　　者：彭家寅[1,2] 

机构地区：[1]内江师范学院四川省高等学校数值仿真重点实验室,四川内江641112 [2]内江师范学院数学与信息科学学院,四川内江641112

出　　处：《四川师范大学学报（自然科学版）》2009年第6期746-750,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省科技厅重点科技基金(2006J13-035)资助项目

摘　　要：针对蕴涵算子族L-λ-R0,讨论了基于CRI算法的模糊系统的函数逼近的泛性及概率表示.首先证明了蕴涵算子族L-λ-R0模糊系统只具有阶跃输出能力,不具有函数逼近泛性;其次揭示了蕴涵算子族L-λ-R0模糊系统的概率意义,给出了其概率分布.For the family of implication operators L-λ-R0 , the functional approximation and the probabilistie representation of fuzzy systems under CRI method are studied. At first, it is proved that these fuzzy systems based on the family of implication operators L-λ-R0 are not universal approximators, they are systems with only step output ability. Secondly, the probability theory significance of fuzzy systems based on the family of implication operators L-λ-R0 is revealed, their probability distributions are given separately.

关 键 词：模糊系统 蕴涵算子族L-Λ-R0 CRI算法 条件数学期望 概率分布 

分 类 号：O159[理学—数学]