| 直觉模糊正规子群与它的同态像特征 |
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| 引用本文： | 李晓萍,赵建红.直觉模糊正规子群与它的同态像特征[J].东北师大学报(自然科学版),2004,36(1):27-33. |
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| 作者姓名： | 李晓萍 赵建红 |
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| 作者单位： | 天津师范大学数学科学学院,天津,300074;通化师范学院数学系,吉林,通化,134002 |
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| 基金项目： | 天津市高等学校科技发展基金，天津师范大学校科研和教改项目 |
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| 摘 要： | 在K.Atanassov引进直觉模糊集概念的基础上,首先给出了直觉模糊正规子群的定义及直觉模糊集的扩展原理,并获得一些基本运算性质;其次在两个经典群同态与同构意义下,研究了这种直觉模糊正规子群的像、原像及逆映射等问题,从而丰富并拓广了模糊集的理论与应用.
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| 关 键 词： | 直觉模糊集 扩展原理 直觉模糊群 直觉模糊正规子群 同态 |
| 文章编号： | 1000-1832(2004)01-0027-07 |
| 修稿时间： | 2003年8月28日 |
Characteristic of the homomorphism image of the intuitionistic fuzzy normal subgroups |
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| LI Xiao-ping,ZHAO Jian-hong.Characteristic of the homomorphism image of the intuitionistic fuzzy normal subgroups[J].Journal of Northeast Normal University (Natural Science Edition),2004,36(1):27-33. |
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| Authors: | LI Xiao-ping ZHAO Jian-hong |
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| Institution: | LI Xiao-ping~1,ZHAO Jian-hong~2 |
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| Abstract: | On the basis of the concept of the intuitionistic fuzzy sets introduced by K.Atanassov,it first gives the definition of the intuitionistic fuzzy normal subgroups and extension principle with respect to the intuitionistic fuzzy sets,and obtain some basic operation properties.Second,in the sense of homomorphism and ismorphism between two classical groups,study the image original image and the inverse mapping etc.of this kind of intuitionistic fuzzy normal subgroups.Consequently,they enrich and generalize the theory and applications of fuzzy sets. |
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| Keywords: | intuitionistic fuzzy sets extension principle intuitionistic fuzzy groups intuitionistic fuzzy normal subgroups homomorphism |
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