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直觉模糊逻辑算子组与经典算子组之间的关系
引用本文:王艳平,陈图云. 直觉模糊逻辑算子组与经典算子组之间的关系[J]. 辽宁工程技术大学学报(自然科学版), 2001, 20(5): 627-629
作者姓名:王艳平  陈图云
作者单位:1. 辽宁工学院数理系
2. 辽宁师范大学数学系
摘    要:文献[1]对经典模糊逻辑“非”、“与”、“或”及“蕴涵”算子进行了系统的研究。文[2]、[3],[4]分别给出了直觉模糊逻辑“非”、“与”、“或”及“蕴涵”算子的定义,并讨论了它们的性质.从而使经典模糊逻辑算子的概念及性质得到进一步的推广。本文在此基础上从代数的观点来讨论 直觉模糊逻辑算子组(D,T,┴,φ,h)与经典模糊逻辑算子组([0,1],T, ┴,φ,h)之间的关系。

关 键 词:直觉模糊逻辑 经典算子组 模糊推理 模糊集论 代数结构 模糊控制
文章编号:1008-0562(2001)05-0627-03
修稿时间:2001-03-16

The Relation between A Group of Intuition Fuzzy Logic Operators and Classic Logic Operators
WANG Yan-ping,CHEN Tu-yun. The Relation between A Group of Intuition Fuzzy Logic Operators and Classic Logic Operators[J]. Journal of Liaoning Technical University (Natural Science Edition), 2001, 20(5): 627-629
Authors:WANG Yan-ping  CHEN Tu-yun
Abstract:The literatures [1] have made a systematic study of the classic fuzzy logic "negation" , "and", "or" , and "implication" operators. The intuition fuzzy logic "negation" , "and", "or" , and "implication" operators have been given in the literatures [2] , [3] , [4] , and their properties have been discussed . These results extended the notions of classic fuzzy logic operators and its properties. On the basis of the above ,the isomorphism between intuitionstic fuzzy logic operator group and classic fuzzy logic operator group is discussed from the view point of abstract algebra in this paper.
Keywords:intuitionstic fuzzy logic  homomorphism  isomorphism
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