一般全蕴涵模糊推理方法

自王国俊教授在模糊推理中提出全蕴涵推理方法以来,对于这个推理方法的推广和完善,成为模糊推理研究的热点方向之一。特别地,最近有文献提出了五I推理方法。由于这个新推理方法中的蕴涵全部为同一种蕴涵,因此,本文将对这种推理方法进行改进,提出更一般的全蕴涵推理方法。同时分别对两个基本的推理模型FMP和FMT,给出新算法的统一表达式,并分别讨论改进方法在两个模型下算法的还原性和鲁棒性。

General Full Implication Method of Fuzzy Reasoning

Since Professor Wang Guojun proposed the full implication inference method in fuzzy reasoning,the generalization and improvement of this method has become one of the hot research direction of fuzzy reasoning.In particular,the five implication inference method has been proposed in the recent literature.Since five implications in this new inference method are all the same,therefore,this paper improves the inference method,and proposes a more general full implication inference method by using two different implications.At the same time,unified expressions of the new algorithm are given for two basic inference models FMP and FMT,respectively.Moreover,the reductivity and robustness of the improved method under the two models are discussed separately.