| m-半格的粗糙模糊理想 |
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| 引用本文： | 周欣,赵彬.m-半格的粗糙模糊理想[J].吉林大学学报(理学版),2015,53(3):429-438. |
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| 作者姓名： | 周欣 赵彬 |
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| 作者单位： | 陕西师范大学 数学与信息科学学院, 西安 710062 |
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| 基金项目： | 国家自然科学基金，中央高校基本科研业务费专项基金 |
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| 摘 要： | 应用粗糙集理论给出m-半格上由模糊(素)理想诱导的同余及关于这种同余上(下)粗糙模糊近似算子的性质.通过引入m-半格粗糙模糊(素)理想的概念,讨论了m-半格上粗糙模糊(素)理想与模糊(素)理想的关系及粗糙模糊(素)理想与(素)理想的关系.
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| 关 键 词： | m-半格 上(下)粗糙模糊近似算子 (模糊)理想 粗糙模糊(素)理想 |
| 收稿时间： | 2014-10-09 |
Rough Fuzzy Ideals of m-Semilattices |
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| ZHOU Xin
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ZHAO Bin.Rough Fuzzy Ideals of m-Semilattices[J].Journal of Jilin University: Sci Ed,2015,53(3):429-438. |
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| Authors: | ZHOU Xin ZHAO Bin |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China |
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| Abstract: | Using rough set theory, we proposed the congruences induced by fuzzy (prime) ideals of an m-semilattice and studied the properties of the upper (lower) rough fuzzy approximation operators withrespect to these congruences. Then we introduced the notions of rough fuzzy (prime) ideals of m-semilattice, and established the relationships between rough fuzzy (prime) ideals and fuzzy (prime) ideals and the relationships between rough fuzzy(prime) ideals and (prime) ideals of m-semilattices. |
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| Keywords: | m-semilattice upper (lower)rough fuzzy approximation operator (fuzzy)ideal rough fuzzy (prime)ideal |
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