直觉模糊逻辑算子组与经典算子组之间的关系

The Relation between A Group of Intuition Fuzzy Logic Operators and Classic Logic Operators

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与经典模糊逻辑算子组之间的关系。

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.