| 关于直觉模糊子群的注记 |
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| 引用本文： | 阎瑞霞,刘金良,姚炳学.关于直觉模糊子群的注记[J].青岛科技大学学报,2007,28(4):361-364. |
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| 作者姓名： | 阎瑞霞 刘金良 姚炳学 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城252059 |
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| 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。
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| 关 键 词： | 直觉模糊集 乘积 直觉模糊子群 截集 |
| 文章编号： | 1672-6987（2007）04-0361-04 |
| 收稿时间： | 2006-09-18 |
| 修稿时间： | 2006-09-18 |
Some Notes on Intuitionistic Fuzzy Subgroups |
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| YAN Rui-xia,LIU Jin-liang,YAO Bing-xue.Some Notes on Intuitionistic Fuzzy Subgroups[J].Journal of Qingdao University of Science and Technology:Natutral Science Edition,2007,28(4):361-364. |
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| Authors: | YAN Rui-xia LIU Jin-liang YAO Bing-xue |
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| Affiliation: | School of Mathematics Science, Liaocheng University, Liaocheng 252059, China |
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| Abstract: | 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. |
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| Keywords: | intuitionistic fuzzy set product intuitionistic fuzzy subgroups cut set |
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