| 直觉模糊群与它的诱导商群 |
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| 引用本文： | 林梦雷.直觉模糊群与它的诱导商群[J].厦门大学学报(自然科学版),2006,45(2):157-161. |
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| 作者姓名： | 林梦雷 |
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| 作者单位： | 厦门大学数学科学学院,福建,厦门,361500 |
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| 基金项目： | 漳州师范学院校科研和教改项目 |
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| 摘 要： | 根据Atanassov K所定义的直觉模糊集的概念．给出一个直觉模糊集为直觉模糊群的充要条件；引入直觉模糊群关于它的正规子群的诱导商集的概念；利用代数思想及方法证明直觉模糊群的诱导商集也是直觉模糊群．该结论完整地解决了一个直觉模糊群关于它的正规子群的商集的问题．
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| 关 键 词： | 直觉模糊集 直觉模糊群 直觉模糊群的诱导商集 直觉模糊群的诱导商群 直觉模糊正规子群 |
| 文章编号： | 0438-0479(2006)02-0157-05 |
| 收稿时间： | 04 28 2005 12:00AM |
| 修稿时间： | 2005年4月28日 |
Intuitionistic Fuzzy Group and Its Induced Quotient Group |
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| LIN Meng-lei.Intuitionistic Fuzzy Group and Its Induced Quotient Group[J].Journal of Xiamen University(Natural Science),2006,45(2):157-161. |
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| Authors: | LIN Meng-lei |
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| Institution: | School of Mathematical Science, Xiamen University, Xiamen 361005, China |
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| Abstract: | The concept of an intuitionistic fussy set was defined by Atanassov K. In this paper, necessary and sufficient conditions were given for whether an intuitionistic fussy set was an intuitionistic fussy group. The concept of the induced quotient set determined by an intuitionistic fussy group on its normal subgroup was introduced. By using algebraic methods,it was proved that the induced quotient set determined by an intuitionistic fussy group was still an intuitionistic fussy group. Thus the problem of a quotient set de termined by an intuitionistic fussy group on its normal subgroup was completely solved. This research enriches the theory of a fussy group. |
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| Keywords: | intuitionstic fuzzy set intuitionstic fuzzy group intuitionistie [uzzy induced quotient set intuitionistie fuzzy group induced quotient group intuitionistie fuzzy normal subgroups |
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