| 剩余格上的模糊软滤子 |
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| 引用本文： | 张雄伟. 剩余格上的模糊软滤子[J]. 计算机工程与应用, 2013, 49(18): 45-47 |
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| 作者姓名： | 张雄伟 |
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| 作者单位： | 榆林学院 数学系，陕西 榆林 719000 |
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| 摘 要： | Molodtsov引入的软集理论，可作为通用的数学工具去处理不确定性问题。给出了剩余格上的模糊软滤子，对它们的性质进行了研究，此外，定义了剩余格上的模糊软滤子间的模糊软同态和模糊软同构，给出了剩余格上的模糊软滤子的同构像定理和同态逆像定理。
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| 关 键 词： | 模糊集 模糊软集 剩余格 模糊软理想 |
Fuzzy soft ideals on residuated lattices |
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| ZHANG Xiongwei. Fuzzy soft ideals on residuated lattices[J]. Computer Engineering and Applications, 2013, 49(18): 45-47 |
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| Authors: | ZHANG Xiongwei |
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| Affiliation: | Department of Mathematics, Yulin University, Yulin, Shaanxi 719000, China |
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| Abstract: | Molodtsov introduces the concept of soft set theory which can be used as generic mathematical tool for dealing with uncertainty. The notions of a fuzzy soft filters in residuated lattices are given. Some of their properties are studied. Furthermore, definitions of fuzzy soft homomorphism and fuzzy soft isomomorphism of fuzzy soft ideals in residuated lattices are defined and the theorems of isomomorphic image and homomorphic pre-image of fuzzy soft ideals in residuated lattices are given. |
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| Keywords: | fuzzy set fuzzy soft set residuated lattices fuzzy soft filters |
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