Using Extension Method to Solve the Incompatible Problem of Fuzzy Control Rule

The paper proposed a new method to solve the non-compatible problem in the generation process of fuzzy control rules, which is a common problem in practice. Extension method is a new kind of knowledge system based on the concepts of extension set and matter-element transformation, which the major goal of this methodology is to solve the incompatible problems through studying the extension probability of things and the laws and methods of extension and innovation. We adopt a fusion method of extension sets and fuzzy sets to solve the non-compatible problem in the generation process of fuzzy control rules. To solve contradiction problem by computers, we quantify the process of solving contradiction problems and use extension methodology as a tool corresponding to such quantification. The extension model of fuzzy rule was established for implementation by computer. The method of the optimizing fuzzy control rules based on the compatibility of fuzzy rules is capable of improving the performance of the fuzzy control greatly. It is valuable and easy to implement in computer.