摘要
在K.Atanassov引进的直觉模糊集概念的基础上,引入了直觉模糊子半群、直觉模糊幺半群和直觉模糊子群的概念,并利用直觉模糊集的逆集、直觉模糊集的乘积概念,讨论了直觉模糊子群的若干性质。同时,利用直觉模糊集的截集特征刻画了直觉模糊子群。
On the basis of the concept of the intuitionistic fuzzy set introuuced by K Atanassov,the concepts of intuitionistic fuzzy subsemigroups, intuitionistic fuzzy unipotent semigroups and intuitionistic fuzzy subgroups are introduced in this paper. Some properties of intuitionistic fuzzy subgroups are discussed based on the inverse and the product of the intuitionistic fuzzy set. And intuitionistic fuzzy subgroups are characterized on feature of cut set. At the end of this paper, the relationship between intuitionistic fuzzy subgroups in the sense of homomorphism and isomorphism are concisely depicted.
出处
《青岛科技大学学报（自然科学版）》
CAS
2007年第4期361-364,共4页
Journal of Qingdao University of Science and Technology:Natural Science Edition
基金
教育部科技研究重点项目(206089)
关键词
直觉模糊集
乘积
直觉模糊子群
截集
intuitionistic fuzzy set
product
intuitionistic fuzzy subgroups
cut set
