基于逐点优化模糊推理的模糊系统的概率表示  

Probability Representation of Fuzzy Systems Based on Pointwise Optimization Fuzzy Inference

作　　者：彭家寅[1,2] 

机构地区：[1]四川省高校数值仿真重点实验室,四川内江641112 [2]内江师范学院数学系,四川内江641112

出　　处：《淮阴师范学院学报（自然科学版）》2010年第3期196-204,共9页Journal of Huaiyin Teachers College;Natural Science Edition

基　　金：四川省科技厅重点科研项目(2006J13-035)

摘　　要：揭示了基于逐点优化模糊推理的模糊系统的概率论意义,给出了几种典型的概率分布,如Mamdani分布、Larsen分布、Zadeh分布、Lukasiewicz分布、Goguen分布等,指出了在概率意义下,上述几种典型分布对应的模糊系统与由CRI算法构造的模糊系统是等效的.The probability theory significance of fuzzy systems based on pointwise optimization fuzzy inference is revealed,several typical probability distributions,such as Mamdani distribution,Larsen distribution,Zadeh distribution,Lukasiewicz distribution and Goguen distribution,are given separately,it is pointed that under probability significance,the fuzzy systems corresponding to the above distributions are equivalent to the fuzzy systems based on CRI algorithm respectively.

关 键 词：模糊系统 模糊蕴涵算子 条件数学期望 POFI方法 CRI算法 

分 类 号：O159[理学—数学]