| 坡代数上的模糊软子坡 |
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| 引用本文： | 赵虎,李生刚,陈桂秀.坡代数上的模糊软子坡[J].吉林大学学报(理学版),2013,51(4):555-560. |
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| 作者姓名： | 赵虎 李生刚 陈桂秀 |
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| 作者单位： | 1. 陕西师范大学 数学与信息科学学院, 西安 710062; 2. 青海师范大学 数学系, 西宁 810008 |
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| 基金项目： | 国家自然科学基金(批准号:11071151);陕西省自然科学基金(批准号:2010JM1005);陕西省自然科学基础研究计划项目(批准号:2012JQ8023) |
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| 摘 要： | 借助模糊软集的概念, 在坡代数上定义了模糊软子坡, 并对其性质进行研究. 此外, 定义了坡代数上模糊软子坡间的模糊软同态和模糊软同构, 给出了坡代数上模糊软子坡的同构像定理和同态逆像定理, 并证明了坡代数上模糊软子坡范畴是坡代数范畴上的拓扑范畴.
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| 关 键 词： | 模糊软子坡 模糊软理想 模糊软滤子 完备格 范畴 |
| 收稿时间： | 2012-10-31 |
Fuzzy Soft Subinclines in Incline Algebras |
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| ZHAO Hu,LI Sheng-gang,CHEN Gui-xiu.Fuzzy Soft Subinclines in Incline Algebras[J].Journal of Jilin University: Sci Ed,2013,51(4):555-560. |
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| Authors: | ZHAO Hu LI Sheng-gang CHEN Gui-xiu |
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| Institution: | 1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China;2. Department of Mathematics, Qinghai Normal University, Xining 810008, China |
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| Abstract: | With the help of the concept of fuzzy soft sets, the notions of fuzzy soft subinclines in incline algebras were given, and some of their properties were studied. Furthermore, the definitions of fuzzy soft homomorphism and fuzzy soft isomomorphism of fuzzy soft subinclines in incline algebras were defined and the theorems of isomomorphic image and homomorphic pre image of fuzzy soft subinclines in incline algebras were given. Meanwhile it is proven that the category of fuzzy soft subinclines in incline algebras is topological overthe category of incline algebras. |
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| Keywords: | fuzzy soft subinclines fuzzy soft ideals fuzzy soft filter complete lattice category |
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