直觉模糊逻辑算子的研究  

Study on the Operators of Intuitionistic Fuzzy Logic

作　　者：王艳平[1] 盖如栋[2] 

机构地区：[1]辽宁工学院数理系,辽宁锦州121001 [2]辽宁工程技术大学基础部,辽宁阜新123000

出　　处：《辽宁工程技术大学学报（自然科学版）》2002年第3期395-397,共3页Journal of Liaoning Technical University (Natural Science)

摘　　要：给出了直觉模糊逻辑“补”、“与”、“或”及“蕴涵”算子的定义,并利用区间值模糊集与直觉模糊集之间的关系,给出了利用经典的模糊逻辑算子构造直觉模糊逻辑算子的三个定理。从而得到了构造直觉模糊逻辑算子的新方法,这种方法无需验证其运算的封闭性,因而简单易行。文中用此方法构造出了一系列新的直觉模糊逻辑“补”、“与”、“或”及“蕴涵”算子,将K.Atanassov最早提出的直觉模糊逻辑算子推广到了更一般情形。The definitions of negation operators, and operators , or operators, and implication operators inintuitionistic fuzzy logic are proposed. By utilizing the relation between interval-valued fuzzy sets andintuitionistic fuzzy sets, three thorem that structure the operators of intuitionistic fuzzy logic by utilizing the operators of classical fuzzy logic are developed. Whereby the new kind of method of constructing the operators of intuitionistic fuzzy logic are obtained. Because this way does not require to verify operational closeness, it is simple and easy. Some new kinds of negation operators, and operators,or operators of intuitionistic fuzzy logic are studied in this way. The operators of intuitionistic fuzzy logic proposed by K.Atanassov are generalized.

关 键 词：直觉模糊逻辑算子 直觉模糊集 区间值模糊集 算子 

分 类 号：O159[理学—数学]