关于模糊规则独立性问题的研究

A Research on Independence of Fuzzy Rules

基于模糊关系给出了模糊规则独立性的一种新的定义,讨论了模糊规则独立性的相关性质,从而提出了一种利用模糊规则独立性对规则库进行划分的方法,进而将规则库划分为独立规则和耦合规则两部分并建立了该规则库的推理公式;给出了Mamdani组合推理方法与并组合独立推理方法之间的关系;最后,通过所建立的实际模糊系统给出了模糊规则库的具体划分,验证了这种划分的正确性。

This paper presents a new definition of fuzzy rules independence based on fuzzy relationship, discusses the relevant properties of rules independence, and proposes a classification method of fuzzy rules. So, the rules base can been divided into the independent fuzzy rules and the correlated fuzzy rules through the definition of fuzzy rules independence, then the inference formula of fuzzy rules base are obtained. The relation between Mamdani compositional inference and independent inference of sum composition are given in the paper. Finally, a real fuzzy system is established and the detailed division of fuzzy rules base is given. Validity of the division to the real fuzzy system is obtained by computing.