基于一族蕴涵算子的对偶三I算法  

Dual Form of Triple I Method Based on a Class of Residual Implications

作　　者：潘海玉[1] 裴道武[1] 

机构地区：[1]浙江理工大学信电学院,浙江杭州310018

出　　处：《模糊系统与数学》2009年第2期18-23,共6页Fuzzy Systems and Mathematics

基　　金：国家973项目(2006CB708304);国家自然科学基金资助项目(10871229)

摘　　要：三I算法是一种新的模糊推理方法,是传统的模糊推理方法的修改和补充。三I表达式取最小值时的最优解算法(即对偶三I算法)是三I算法思想的延伸和完善。本文针对蕴涵算子族Ip,讨论了FMP和FMT问题的对偶三I算法,给出了相应的计算公式,从而也进一步促进了对三I算法的研究。The triple I method is a new kind of fuzzy reasoning method with respect to FMP and FMT reasoning models, and improves on the conventional fuzzy reasoning methods. As far as dual form of triple I method is concerned, it extends and perfects the idea of triple I method. In this paper, based on a class of residual implications, the corresponding formula of the optimal solutions as dual form of triple I method are obtained. All these obtained results will be very helpful to study the Triple I method.

关 键 词：模糊逻辑 模糊推理 三Ⅰ算法 对偶三Ⅰ算法 含参数的蕴涵算子 

分 类 号：O141[理学—数学]