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区间决策粗糙集 被引量：16

Interval-valued Decision-theoretic Rough Sets
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摘要 考虑到实际决策问题中损失函数的"多值性"特征,从贝叶斯理论出发,将区间值损失函数引入决策粗糙集,提出区间值决策粗糙集模型。首先,讨论了在贝叶斯期望风险最小的决策语义下,区间值决策粗集理论基本模型的构建过程。其次,分析了区间值决策粗集理论的相关数学性质和准则。最后,通过一个石油投资问题来阐明区间值决策粗糙集模型的应用过程。 By considering the ＂multiple-valued＂ character in practical decision procedure, the intervabvalued loss func- tions were induced to deeision-theoretic rough set theory （DTRS） based on the Bayesian decision theory. With respect to the minimum Bayesian expected risk, a model of interval-valued decision-theoretic rough set theory was built. The corresponding propositions and criteria of interval-valued decision-theoretic rough set theory were also analyzed. An example of oil investment was given to illuminate the proposed model in applications.
作者 刘盾 李天瑞 李华雄
机构地区 西南交通大学经济管理学院 西南交通大学信息科学与技术学院 南京大学工程管理学院
出处 《计算机科学》 CSCD 北大核心 2012年第7期178-181,214,共5页 Computer Science
基金 国家自然科学基金重大项目(71090402/G1) 国家自然科学基金(61175047) 教育部人文社会科学青年基金(11YJC630127)资助
关键词 决策粗糙集理论 概率粗糙集理论 贝叶斯过程 区间值 Decision-theoretic rough set theory, Probabilistic rough set theory, Bayesian decision procedure, Interval-valued
分类号 TP18 [自动化与计算机技术—控制理论与控制工程] N945.25 [自然科学总论—系统科学]
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参考文献29

  • 1Duda R O, Hart P E. Pattern Classification and Scene Analysis [M]. New York:Wiley Press,1973.
  • 2Herbert J P, Yao J T. Criteria for choosing a rough set model [J]. Computer and Mathematics with Application, 2009,57 : 908- 918.
  • 3Katzberg J D, Ziarko W. Variable precision rough sets with asymmetric bounds [M]//Ziarko W. ed. Rough Sets,Fuzzy Sets and Knowledge Discovery. London .. Springer, 1994 167-177.
  • 4Li H X,Zhou X Z. Risk decision making based on deeision-theo retie rough set: a three-way view decision model J. Interna- tional Journal of Computational Intelligence Systems, 2011,4:1- 11.
  • 5Liu D, Li T R, Ruan D. Probabilistic model criteria with deci- sion-theoretic rough sets [J]. Information Sciences, 2011, 181 (17) 3709-3722.
  • 6Liu D, Li T R, Hu P, et al. Multiple-category classification with decision-theoretic rough sets [J]. LNAI, 6401,2010 : 703-710.
  • 7Liu D, Li H X, Zhou X Z. Two decades research on decision- theoretic rough sets I-C //Proceedings of 9th IEEE International Conference on Cognitive Informaties. 2010:968-973.
  • 8Liu D,Yao Y Y, Li T R. Three-way investment decisions with decision-theoretic rough sets [J]. International Journal of Com- putational Intelligence Systems, 2011,4 : 66-74.
  • 9Macmillan F. Risk, Uncertainty and Investment Decision-making in the Upstream Oil and Gas Industry [D]. UK: University of Aberdeen, 2000.
  • 10Pawlak Z. Rough sets [J]. International Journal of Computer and Information Sciences, 1982,11 341-356.

二级参考文献78

  • 1赵文清,朱永利,高伟华.一个基于决策粗糙集理论的信息过滤模型[J].计算机工程与应用,2007,43(7):185-187. 被引量：15
  • 2苗夺谦,王国胤,刘清,等.粒计算:过去、现在与展望[M].北京:科学出版社,2007.
  • 3Pawlak Z.Rough sets[J].International Journal of Computer and Information Sciences,1982,11(5):341-356.
  • 4Skowron A,Rauszer C.The discernibility matrices and functions in information system[C] //Intelligent Decision Support Handbook of Applications and Advances of the Rough Sets Theory.Amsterdan,Netherlands:Kluwer Academic Publishers,1992:331-362.
  • 5Leung Yee,Li Deyu.Maximal consistent block technique for rule acquisition in incomplete information systems[J].Information Sciences,2003,153(1):85-106.
  • 6Guan Yanyong,Wang Hongkai.Set-valued information systems[J].Information Sciences,2006,176(17):2507-2525.
  • 7Leung Yee,Fischer M,Wu Weizhi,et al.A rough set approach for the discovery of classification rules in interval-valued information systems[J].International Journal of Approximate Reasoning,2008,47(2):233-246.
  • 8Wu Shunxiang,Huang Zhiyong,Luo Delin,et al.A grey rough set model based on (α,β)-grey similarity relation[C] //Proc of 2007 IEEE Int Conf on Grey Systems and Intelligent Services.Piscataway,NJ:IEEE,2007:18-20.
  • 9Wu S,Shi S,Liu S,et al.Study of grey rough set model based on tolerance relation[C] //Proc of the 9th Int Conf on Control,Automation,Robotics and Vision.Piscataway,NJ:IEEE,2006:1-6.
  • 10Qian Yuhua,Liang Jiye,Dang Chuangyin.Interval ordered information systems[J].Computer and Mathematics with Applications,2008,56(8):1994-2009.

共引文献112

同被引文献136

  • 1史开泉,崔玉泉.S-粗集与它的分解还原[J].系统工程与电子技术,2005,27(4):644-651. 被引量：55
  • 2张春英,刘保相.基于SPA的不完备信息系统的双向S-粗集模型[J].计算机应用研究,2006,23(11):96-98. 被引量：3
  • 3赵文清,朱永利,高伟华.一个基于决策粗糙集理论的信息过滤模型[J].计算机工程与应用,2007,43(7):185-187. 被引量：15
  • 4张文修 吴伟业 梁吉业 等.粗糙集理论与方法[M].北京：科学出版社,2002..
  • 5王国胤,Rough集理论与知识获取[M].西安:西安交通大学出版社,1999.
  • 6刘清.Rough集及Rough推理[M].北京:科学出版社,2003..
  • 7曾黄麟.粗集理论及其应用[M].重庆：重庆大学出版社,1996..
  • 8Pierpaoli C, Basser PJ. Toward a quantitative assessment of diffusion anisotropy. Magn Reson Med, 1996, 36:893-906.
  • 9李华雄,周献中,李天瑞,等.决策粗糙集理论及其研究进展[M].北京:科学出版社,2011.
  • 10Abd E1-Monsef M M E, Kilany N M. Decision analysis via granu- lation based on general binary relation [J]. International Journal of Mathematics and Mathematical Sciences, 2007, Article ID: 12714.

引证文献16

二级引证文献128

计算机科学
2012年 第7期

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