| 第六型覆盖粒计算模型 |
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| 引用本文： | 王国朋,李令强,孟广武,秦雯. 第六型覆盖粒计算模型[J]. 烟台大学学报(自然科学与工程版), 2013, 26(4): 250-254 |
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| 作者姓名： | 王国朋 李令强 孟广武 秦雯 |
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| 作者单位： | 1. 聊城大学数学科学学院,山东聊城,252059
2. 南开大学计算机与控制工程学院,天津,300071 |
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| 基金项目： | 新疆维吾尔自治区普通高校重点学科经费资助 |
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| 摘 要： | 通过覆盖粗糙集上的邻域关系定义了一种新的Zoom-in算子,并讨论了它的性质及其与已有的Zoom-in算子之间的关系.讨论了新定义的Zoom-in算子与Zoom-out算子之间的不同复合而产生的不同的近似算子的性质.进一步建立了这些算子与拓扑空间及Galois联络之间的联系.特别地,证明了2个算子在论域上复合得到的近似算子,恰是基于覆盖的第六型粗糙近似算子.
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| 关 键 词： | 粒计算 粗糙集 覆盖 Zoom-in Zoom-out |
The Sixth Covering-Model of Granular Computing |
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| WANG Guo-peng , LI Ling-qiang , MENG Guang-wu , QIN Wen. The Sixth Covering-Model of Granular Computing[J]. Journal of Yantai University(Natural Science and Engineering edirion), 2013, 26(4): 250-254 |
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| Authors: | WANG Guo-peng LI Ling-qiang MENG Guang-wu QIN Wen |
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| Affiliation: | 2 ( 1. School of Mathematics Science, Liaocheng University, Liaocheng 252059, China ; 2. College of Computer and Control Engineering Nankai University, Tianjin 300071, China) |
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| Abstract: | A new Zoom-in operator is defined based on the neighborhood limited to cover-based rough sets. The property and the relationship with the existing Zoom-in operators are discussed. The combination operators formed by the Zoom-in and Zoom-out operators on the （granulated） universe of discourse are presented, and their relation- ships to covering rough set, topological space and Galois connection are discussed. In particular, it is proved that a pair of approximation operators on the universe of discourse obtained by the combination of the Zoom-in operator and Zoom-out operator, are precisely the sixth type of covering-based lower and upper approximation operators. |
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| Keywords: | granular computing coveting Zoom-in Zoom-out |
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