双论域粗糙集的不确定性度量

上海交通大学学报（自然版） ›› 2011, Vol. 45 ›› Issue (12): 1841-1845.

双论域粗糙集的不确定性度量

阎瑞霞，郑建国，翟育明

（东华大学旭日工商管理学院，上海 200051）

收稿日期:2011-10-26 出版日期:2011-12-31 发布日期:2011-12-31
基金资助:
国家自然科学基金资助项目(70971020)，上海市软科学博士学位论文项目(11692191400)

Uncertainty Measures of Rough Set over Dual-universes

YAN Rui-Xia, ZHENG Jian-Guo, DI Yu-Ming

(Glorious Sun School of Business Administration, Donghua University, Shanghai 200051, China)

Received:2011-10-26 Online:2011-12-31 Published:2011-12-31

摘要/Abstract

摘要： 为了进一步扩展粗糙集的应用范围和灵活性，利用构造性方法研究了双论域粗糙集的不确定性度量，分析了双论域粗糙集不确定性度量与由双论域粗糙集诱导的Pawlak粗糙集的粒度之间的关系.通过比较Pawlak近似空间中粒度的大小，定义了不同信息系统中关系的粗细程度，给出了反映信息系统分类能力的双论域粗糙集信息熵和信息粒度的定义，研究了双论域粗糙集信息熵和信息粒度与信息系统中关系的粗细程度之间的关系.结果表明：双论域粗糙集的信息熵越大，信息系统的不确定性越强，信息系统中关系的区分能力越弱；信息系统的关系越精细，双论域粗糙集的信息熵越小，双论域粗糙集的信息粒度越小.

关键词: 粗糙集, 双论域粗糙集, 信息熵, 信息粒度

Abstract: To broaden the application field of rough set, constructive method was utilized to research uncertainty measures of rough set over dual-universes. The relation between uncertainty measures of rough set over dualuniverses and Pawlak rough set induced by rough set over dual-universes was analyzed. The precision of relation in information system was discussed by comparing granular in Pawlak rough set. Information entropy and information granular of rough set over dual-universes were introduced to denote the classified ability in information systems. The relation between information entropy of rough set over dual-universes and the precision of relation in information system was studied. Also, the relation between information granular of rough set over dual-universes and the precision of relation in information system was researched. The results show that the bigger the information entropy, the stronger the uncertainty in information system is and the weaker the ability in information system is. The finer the relation in information system, the smaller the information entropy is and the smaller the information granular is.

Key words: rough set, rough set over dualuniverses, information entropy, information granular

中图分类号:

O159

阎瑞霞, 郑建国, 翟育明. 双论域粗糙集的不确定性度量[J]. 上海交通大学学报（自然版）, 2011, 45(12): 1841-1845.

YAN Rui-Xia, ZHENG Jian-Guo, DI Yu-Ming. Uncertainty Measures of Rough Set over Dual-universes[J]. Journal of Shanghai Jiaotong University, 2011, 45(12): 1841-1845.

参考文献

［1］Pawlak Z. Rough sets ［J］. International Journal of Computer and Information Sciences, 1982,11: 341356.

［2］Pawlak Z. Rough sets: Theoretical aspects of reasoning about data［M］. Boston: Kluwer Academic Publishers, 1991.

［3］Yao Y Y. Interpretations of belief functions in the theory of rough sets［J］. Information Sciences, 1998, 104(12): 81106.

［4］Yan Ruixia, Zheng Jianguo, Liu Jinliang, et al. Research on the model of rough set over dualuniverses［J］. KnowledgeBased Systems, 2010, 23(8): 817822.

［5］Li Tongjun. Rough approximation operators on two universes of discourse and their fuzzy extensions［J］. Fuzzy Sets and Systems, 2008, 159（22）: 30333050.

［6］Wu Weizhi, Mi Jusheng, Zhang Wenxiu. Generalized fuzzy rough sets［J］. Information Sciences, 2003, 151:263282.

［7］Wu Weizhi, Zhang Wenxiu. Constructive and axiomatic approaches of fuzzy approximation operators［J］. Information Sciences, 2004, 159:233254.

［8］Li Tongjun, Zhang Wenxiu. Rough fuzzy approximations on two universes of discourse［J］. Information Sciences, 2008, 178（3）: 892906.

［9］Yan Ruixia, Zheng Jianguo, Liu Jinliang. rough set over dualuniverses and its applications in: expert systems［J］. ICIC Express Letters, 2010,4(3): 833838.

［10］Zhang Hongying, Zhang Wenxiu, Wu Weizhi. On characterization of generalized intervalvalued fuzzy rough sets on two universes of discourse［J］. International Journal of Approximate Reasoning, 2009, 51(1): 5670.

［11］Liu Guilong. Rough set theory based on two universal sets and its applications［J］. KnowledgeBased Systems, 2010, 23(2): 110115.

［12］Yang Hailong. Short communication: A note on “Rough set theory based on two universal sets and its applications” KnowledgeBased Systems 23 (2010) 110115［J］. KnowledgeBased Systems, 2011,24(3): 465466.

［13］Sun Bingzhen, Ma Weimin. Fuzzy rough set model on two different universes and its application［J］. Applied Mathematical Modeling, 2010, 35(4): 17891809.

编辑推荐 0

Metrics

阅读次数

全文

546

HTML			PDF

最新录用	在线预览	正式出版	最新录用	在线预览	正式出版
0	0	0	0	0	546

来源	本网站	其他网站

次数	32	514
比例	6%	94%

摘要

3191

最新录用	在线预览	正式出版

0	0	3191

来源	本网站	其他网站

次数	235	2956
比例	7%	93%

[1]	卜晓东, 周志超, 徐振森, 张军. 基于改进信息熵法的反集群目标作战效能评估研究[J]. 空天防御, 2021, 4(1): 14-18.
[2]	王军1,2，李建勋1，韩山3，王兴2. 一种效能评估中缺失数据的填充方法[J]. 上海交通大学学报（自然版）, 2017, 51(2): 180-.
[3]	张志峰1,2，DAVID Janet2. 基于信息熵的单元化制造系统状态度量[J]. 上海交通大学学报（自然版）, 2015, 49(01): 109-115.
[4]	王莉1,2，周献中1，李华雄1. 模糊决策粗糙集模型及其属性约简[J]. 上海交通大学学报（自然版）, 2013, 47(07): 1032-1035.
[5]	耿秀丽，张在房，褚学宁. 基于变精度粗糙集的产品配置规则提取及增量式更新[J]. 上海交通大学学报（自然版）, 2010, 44(07): 878-0882.
[6]	姚立红,訾小超,潘理，李建华. 基于带标签有限自动机的隐蔽存储通道搜索[J]. 上海交通大学学报（自然版）, 2008, 42(10): 1646-1649.