基于模糊二元运算的直觉模糊群  

Intuitionistic Fuzzy Group Based on Bi-factor Operation

作　　者：班喜光[1] 刘锋[1] 

机构地区：[1]海军大连舰艇学院基础部,辽宁大连116018

出　　处：《模糊系统与数学》2006年第4期16-21,共6页Fuzzy Systems and Mathematics

摘　　要：为了使直觉模糊群也具有经典的结构,首先给出经典集合G的一种直觉模糊二元运算,利用这种直觉模糊二元运算定义了直觉模糊群,讨论这种直觉模糊群的一些性质,并给出直觉模糊群的两种等价定义。由于直觉模糊群具有和群一样经典的结构,因此,使直觉模糊代数的深入研究有了充分的理论基础。An intuitionistic fuzzy binary operation on normal sets is given,and an intuitionistic fuzzy group G is defined in this paper in order to get the structure of intuitionistic fuzzy group same as that of normal group. We have discussed the characters of the intuitionistic fuzzy group,and given two defines that are same as the first define of intuitionistic fuzzy group. We have got the good result in this oaoer. It is useful for us to further study intuitionistic fuzzy algebra.

关 键 词：模糊二元运算 直觉模糊群 直觉模糊集 

分 类 号：O159[理学—数学]