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关于T-S模的直觉模糊群的直积特征
引用本文:李晓萍,郑成武.关于T-S模的直觉模糊群的直积特征[J].数学的实践与认识,2008,38(1):109-115.
作者姓名:李晓萍  郑成武
作者单位:天津师范大学,管理学院,天津,300387
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.

关 键 词:直觉模糊群  T模  S模  外直积  内直积  同构
修稿时间:2005年9月5日

The Direct Product Characteristics of the Intuitionistic Fuzzy Groups with Respect to T-S Norms
LI Xiao-ping,ZHENG Cheng-wu.The Direct Product Characteristics of the Intuitionistic Fuzzy Groups with Respect to T-S Norms[J].Mathematics in Practice and Theory,2008,38(1):109-115.
Authors:LI Xiao-ping  ZHENG Cheng-wu
Abstract: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.
Keywords:Intuitionistic fuzzy groups  T-norm  S-norm  outer direct product  internal direct
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