关于T-S模的直觉模糊群的直积特征  

The Direct Product Characteristics of the Intuitionistic Fuzzy Groups with Respect to T-S Norms

作　　者：李晓萍[1] 郑成武[1] 

机构地区：[1]天津师范大学管理学院,天津300387

出　　处：《数学的实践与认识》2008年第1期109-115,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金项目(70571056)

摘　　要：首先将T模、S模的概念推广,并研究了推广的T-S模的基本性质,进而分别定义了在对偶模意义下直觉模糊群的外直积与内直积.最后,证明了直觉模糊群的两种直积在一定条件下是同构的.We first generalize the concepts of T norm and S norm, study some elementary properties of generalized T norm and S norm. Furthermore, define the outer direct product and internal direct product of intuitionistic fuzzy groups in the sense of dual norms, respectively. Finally,we prove that the two kinds of intuitionistic fuzzy groups are isomorphic with certain conditions.

关 键 词：直觉模糊群 T模 S模 外直积 内直积 同构 

分 类 号：O159[理学—数学]