| 基于包含度的模糊随机粗糙集模型 |
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| 引用本文： | 张植明,田景峰. 基于包含度的模糊随机粗糙集模型[J]. 模糊系统与数学, 2010, 24(3) |
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| 作者姓名： | 张植明 田景峰 |
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| 作者单位： | 1. 河北大学,数学与计算机学院,河北,保定,071002
2. 华北电力大学,科技学院,河北,保定,071051 |
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| 基金项目： | 国家自然科学基金资助项目，教育部科学技术研究重点项目，河北省自然科学基金资助项目，河北省教育厅科研计划重点项目 |
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| 摘 要： | 针对随机性与模糊性同时存在的情形,提出了建立在模糊随机近似空间上的基于包含度的模糊随机粗糙集模型.首先给出了模糊随机近似空间的概念,然后利用包含度提出了模糊随机近似空间上的一种基于模糊随机集的粗糙近似算子.最后讨论了这种近似算子的一些性质.
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| 关 键 词： | 模糊随机近似空间 模糊随机集 包含度 近似算子 |
A Fuzzy Random Rough Set Model Based on Inclusion Degree |
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| ZHANG Zhi-ming,TIAN Jing-feng. A Fuzzy Random Rough Set Model Based on Inclusion Degree[J]. Fuzzy Systems and Mathematics, 2010, 24(3) |
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| Authors: | ZHANG Zhi-ming TIAN Jing-feng |
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| Affiliation: | ZHANG Zhi-ming1,TIAN Jing-feng2 (1. School of Mathematics and Computer Sciences,Hebei University,Baoding 071002,China,2. School of Science and Technology,North China Electric Power University,Baoding 071051,China) |
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| Abstract: | In view of the fact that randomness and fuzziness often exist simultaneously,this paper proposes a fuzzy random rough set model based on inclusion degree in the fuzzy random approximate space. Firstly,the concept of fuzzy random approximate space is introduced. Secondly,by using the inclusion degree,a new rough approximation operator on the basis of fuzzy random set is proposed in the fuzzy random approximate space. Finally,some properties of this approximate operator are discussed. |
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| Keywords: | Fuzzy Random Approximate Space Fuzzy Random Set Inclusion Degree Approximation Operator |
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