模糊推理三I算法的连续性和逼近性

Continuity and Approximation Property of Triple I Method

三I算法是一种新的模糊推理方法,可以作为传统的模糊推理方法的修改和补充。系统地研究了三I支持度算法和反向三I支持度算法的连续性问题,并指出了基于一些常用的蕴涵算子的三I算法具有逼近性。此结果对构建模糊控制系统和模糊专家系统时选用三I推理算法具有一定的指导作用。

The triple I method is a new kind of fuzzy reasoning method with respect to FMP and FMT models. We investigated systematically whether or not triple I sustention degree method and reverse triple I sustention degree method may hold continuity property. We also pointed out that triple I methods based on the some commonly used implication operators hold approximation property. The results of the paper are useful for the selection and analysis of algorithms for fuzzy reasoning when practical fuzzy control and expert systems are designed.