模糊子集及规则的合并算法研究

Research on Merging Algorithms of Fuzzy Subsets and Rules

在应用模糊系统时,常常会遇到的一个问题就是系统中可能存在冗余的模糊子集和模糊规则。一方面增加了系统复杂性,浪费了计算能力,另一方面也给使用自然语言来描述系统造成了困难。本文针对TS模糊系统提出一种模糊子集和模糊规则的合并算法。使用该算法能有效地减少模糊子集和模糊规则的数目,进而减小了系统的复杂性,提高系统的可描述性。数字仿真结果证明了本文所述算法的有效性.

In applying fuzzy systems, a common problem is that there may exist redundant fuzzy subsets and rules, which can on the one hand increase the complexity of the fuzzy system and waste the computational capacity, and on the other hand make it difficult to describe the fuzzy system with natural language. In this paper, merging algorithms of fuzzy subsets and rules are proposed to deal with TS fuzzy systems. These two algorithms can effectively reduce the number of fuzzy subsets and rules, thus greatly decrease the complexity and enhance the describable characteristic of the fuzzy system. Numerical simulation demonstrates the effectiveness of the proposed algorithms.