| (L,M)-闭包模糊邻域空间 |
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| 引用本文： | 赵虎,李生刚,杨海龙.(L,M)-闭包模糊邻域空间[J].吉林大学学报(理学版),2015,53(5):904-908. |
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| 作者姓名： | 赵虎 李生刚 杨海龙 |
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| 作者单位： | 1. 西安工程大学 理学院, 西安 710048; 2. 陕西师范大学 数学与信息科学学院, 西安 710062 |
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| 摘 要： | 通过将L-模糊弱邻域算子的概念变形到(L,M)-闭包模糊邻域系, 给出(L,M) 闭包模糊邻域系和(L,M)-闭包系统的关系, 并研究(L,M)-闭包模糊邻域空间与连续映射构成范畴的终结构和初始结构. 最后给出该范畴的余积和乘积.
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| 关 键 词： | (L M)-闭包模糊邻域系 初始结构 终结构 余积 乘积 |
| 收稿时间： | 2014-11-07 |
(L,M)-Closure Fuzzy Neighborhood Spaces |
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| ZHAO Hu,LI Shenggang,YANG Hailong.(L,M)-Closure Fuzzy Neighborhood Spaces[J].Journal of Jilin University: Sci Ed,2015,53(5):904-908. |
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| Authors: | ZHAO Hu LI Shenggang YANG Hailong |
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| Institution: | 1. School of Science, Xi’an Polytechnic University, Xi’an 710048, China;2. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China |
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| Abstract: | The notion of L fuzzy weak neighborhood system wasfirstly transformed to an (L,M)-closure fuzzy neighborhood system, then the relationship betweeen (L,M)-closure fuzzy neighborhood systems and (L,M)-closure system was expounded, and the initial structures and the final structures of the category (L,M)-closure fuzzy neighborhood spaces and their fuzzy continuous mappings were studied. At last, as an application of the obtained results, coproducts and products of this category were described. |
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| Keywords: | (L M)-closure fuzzy neighborhood systems initial structure final structure coproduct product |
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