模糊控制中FMP问题的算法分析

Analysis of Algorithms for FMP Problem in Fuzzy Control

本文主要对模糊推理的核心问题之一即FMP问题的算法进行比较,其中包括CRI算法、Mamdani算法、三Ⅰ算法等推理算法,并且对各种算法的优劣性进行分析.文章给出了推理合成规则不具有还原性和不能正确进行模糊推理的原因以及正确使用CRI算法的条件,对各种蕴含算子的模糊推理进行了分析比较,从而得到较合理的推理算法.文章最后举例说明了最优算法的应用.

The algorithms for FMP problem which is a basic problem in fuzzy reasoning,include CRI algorithm,Mamdani algorithm,full implication triple Ⅰ algorithm and so on.Then the advantages and disadvantages of different algorithms are analyzed.The reason why the compositional rule of inference does not have the reducibility and cannot conduct the fuzzy reasoning correctly and the conditions of using CRI rightly are pointed out.All kinds of fuzzy reasoning of implication operators are compared.Finally,the applications of suboptimal algorithm in practice are illustrated.