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不完备信息系统下的变精度粗糙集模型及其知识约简算法 被引量:31

Variable Precision Rough Set Model and a Knowledge Reduction Algorithm for Incomplete Information System
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摘要 Rough Set Theory, which has been found applicable and useful in many fields, is now a very effective method in data mining research. However, when the decision table is an incomplete one, with the original rough set theory proposed by Z. Pawlak, one can't get satisfactory results. In this paper an approach based on limited valued tolerance relation and majority inclusion relation is proposed. And furthermore a new attribute reduction method called extended discernable matrix is given. As this model is somewhat a combination of fuzzy means and majority inclusion relation, it is more effective than the previous models in practice. Rough Set Theory, which has been found applicable and useful in many fields, is now a very effective method in data mining research. However, when the decision table is an incomplete one, with the original rough set theory proposed by Z. Pawlak, one can't get satisfactory results. In this paper an approach based on limited valued tolerance relation and majority inclusion relation is proposed. And furthermore a new attribute reduction method called extended discernable matrix is given. As this model is somewhat a combination of fuzzy means and majority inclusion relation, it is more effective than the previous models in practice.
出处 《计算机科学》 CSCD 北大核心 2003年第4期153-155,共3页 Computer Science
基金 国家自然科学基金(No.60275019) 国家863项目(No.2001AA115460) 山西省自然科学基金
关键词 变精度粗糙集模型 知识约简算法 粗糙集理论 不完备信息系统 人工神经网络 Limited valued tolerance relation, Majority inclusion relation, Extended discernable matrix
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  • 1余英泽 王国胤 吴渝.一种基于Rough集理论的不完备信息系统处理方法[J].计算机科学,2001,28(5).
  • 2梁吉业 王江 苗夺谦.推广粗糙集模型下粗糙集与粗糙分类的模糊性度量[J].计算机科学,2001,28(5).
  • 3Pawlak Z. Rought Set-Theoretical Aspect of Reasoning about Data. Kluwer Academic Publishers, Dorderecht, Boston,London, 19 91.
  • 4Stefanowski J, Tsoukisa A. On the Extension of Rough Sets under Incomplete Information. In: 7th Intl. workshop,RSFDGRC'99 Yamaguchi, Japan, Proc. New Directions in Rough Sets, Data Mining, and Granular-soft Computing, 1999.73~81.
  • 5Liang Jiye,Xu Zongben. The algorithm on knowledge reduction in incomplete information systems. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2002, 10(1) :95~103.

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