| 关于三角模的直觉模糊群及其同态像 |
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| 引用本文： | 李晓萍.关于三角模的直觉模糊群及其同态像[J].模糊系统与数学,2005,19(1):57-62. |
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| 作者姓名： | 李晓萍 |
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| 作者单位： | 天津师范大学,数学科学学院,天津,300074 |
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| 基金项目： | 天津市高校科技发展基金项目 (2 0 0 314 10 )，天津师范大学科研启动基金项目 (135 5 RL0 16 ) |
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| 摘 要： | 本文在K．Atanassov引进的直觉模糊集概念的基础上，利用T模和S模，定义了两个直觉模糊集的乘积．给出了关于三角模的直觉模糊群的概念及其等价命题，最后在两个经典群同态与同构意义下，研究了这种直觉模糊群的同态像及原像等问题。
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| 关 键 词： | 直觉模糊集 T模 S模 直觉模糊群 同态 同构 |
| 文章编号： | 1001-7402(2005)01-0057-06 |
| 修稿时间： | 2003年3月10日 |
The Intuitionistic Fuzzy Group with respect to Trigonal Norms and Its Homomorphic Image |
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| LI Xiao-ping.The Intuitionistic Fuzzy Group with respect to Trigonal Norms and Its Homomorphic Image[J].Fuzzy Systems and Mathematics,2005,19(1):57-62. |
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| Authors: | LI Xiao-ping |
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| Abstract: | On the basis of the concept of the intuitionistic fuzzy set introduced by K.Atanassov,making use of T-norm and S-norm, we define the product of two intuitionistic fuzzy sets, give the concept of the intuitionistic fuzzy subgroup with respect to trigonal norms and its equivalent proposition in this (paper.) Finally, in the sense of homomorphism and ismorphism between two classical groups, study the homomorphic image and original image etc.of this kind of intuitionistic fuzzy groups. |
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| Keywords: | Intuitionistic Fuzzy Sets T-norm S-norm Intuitionistic Fuzzy Groups Homomor-(phism Isomorphism) |
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