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基于一族蕴涵算子的对偶三I算法
引用本文:潘海玉,裴道武.基于一族蕴涵算子的对偶三I算法[J].模糊系统与数学,2009,23(2).
作者姓名:潘海玉  裴道武
作者单位:浙江理工大学,信电学院,浙江,杭州,310018
基金项目:国家重点基础研究发展规划(973计划),国家自然科学基金 
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.

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

Dual Form of Triple I Method Based on a Class of Residual Implications
PAN Hai-yu,PEI Dao-wu.Dual Form of Triple I Method Based on a Class of Residual Implications[J].Fuzzy Systems and Mathematics,2009,23(2).
Authors:PAN Hai-yu  PEI Dao-wu
Institution:College of Informatics & Electronics;Zhejiang Sci-Tech university;Hangzhou 310018;China
Abstract: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.
Keywords:Fuzzy Logic  Fuzzy Reasoning  Triple I Method  Dual Form of Triple I Method  Parametric Operator  
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