关键词: 模糊控制, 模糊推理, 正则蕴涵算子, SIS算法

Abstract: Fuzzy reasoning is the core of fuzzy control, the reversibility is one of most important evaluation stan- dards for fuzzy reasoning algorithms. Under the framework of regular implication operators, this paper firstly gives the unified expression for solving FMP (fuzzy modus ponens) problems based on SIS (subsethood infer subsethood) method. Secondly, this paper proposes an improved SIS FMT (fuzzy modus tollens) algorithm and the unified form of its solution. In the end, this paper proves that the SIS FMP algorithm and SIS FMT algorithm are both unconditionally reversible, and studies the λ-solution of SIS algorithm for FMP and FMT. This algorithm will provide more alternative methods of fuzzy reasoning for the area of fuzzy control.

Key words: fuzzy control, fuzzy reasoning, regular implication operators, SIS algorithm