基于综合函数设计的模糊系统及其插值机理

分析现有模糊系统的数学表示形式,注意到模糊系统输出函数的构造常采用对规则后件模糊集峰点(中心)值加权平均的方法. 综合函数是因素空间理论中利用简单因素状态合成复杂因素状态的有效工具, 本文将综合函数用于构造规则后件模糊集峰点(中心)值的权重, 给出一种新的模糊系统设计方法, 并且证明了这种基于综合函数的模糊系统可归结为一种插值函数.

Fuzzy Systems Based on Multifactorial Functions and Their Interpolation Mechanism

By analyzing mathematical expressions of output functions of existing fuzzy systems, we note that the method of weighted averaging the peak points of rule consequent fuzzy sets is used commonly for the output quantities of fuzzy systems. Multifactorial functions are valid tools for decreasing dimensions in factor spaces. In this paper, the weights of the peak points of rule consequent fuzzy sets are constructed by multifactorial functions, and a new design method of fuzzy systems is proposed. Moreover, it is proved that these fuzzy systems based on multifactorial functions are interpolation functions.