Maximum condition entropy based attribute reduction in variable precision rough set model

Variable precision rough set model, as a probabilistic extension of original rough set model, is a very useful approach to inducing probabilistic rules from datasets. In this paper, some anomalies in present definition of attribute reduction based on variable precision rough set model are discussed. Maximum condition entropy is introduced to analyze the mergers of condition classes in the process of reduction and construct a monotonic measure for attribute reduction. Then, based on core attributes under maximum condition entropy, a new heuristic algorithm is proposed to compute reduct, which eradicates all anomalies in variable precision rough set model. Finally, an example is used to show the validity of proposed algorithm.

[1]  Yiyu Yao,et al.  A Decision Theoretic Framework for Approximating Concepts , 1992, Int. J. Man Mach. Stud..

[2]  Jerzy W. Grzymala-Busse,et al.  Rough Sets , 1995, Commun. ACM.

[3]  S. K. Michael Wong,et al.  Rough Sets: Probabilistic versus Deterministic Approach , 1988, Int. J. Man Mach. Stud..

[4]  Z. Pawlak Rough Sets: Theoretical Aspects of Reasoning about Data , 1991 .

[5]  Xu Zhang,et al.  A Quick Attribute Reduction Algorithm with Complexity of max(O(|C||U|),O(|C|~2|U/C|)) , 2006 .

[6]  Guo-Sheng Liu,et al.  An improved adi-fdtd method with lower splitting error , 2008, 2008 12th International Conference on Mathematical Methods in Electromagnetic Theory.

[7]  Janusz Zalewski,et al.  Rough sets: Theoretical aspects of reasoning about data , 1996 .

[8]  Yiyu Yao,et al.  Decision-Theoretic Rough Set Models , 2007, RSKT.

[9]  Malcolm J. Beynon,et al.  Reducts within the variable precision rough sets model: A further investigation , 2001, Eur. J. Oper. Res..

[10]  Dominik Slezak,et al.  The investigation of the Bayesian rough set model , 2005, Int. J. Approx. Reason..

[11]  Wojciech Ziarko,et al.  Variable Precision Rough Set Model , 1993, J. Comput. Syst. Sci..

[12]  Duoqian Miao,et al.  Discernibility Matrix Based Algorithm for Reduction of Attributes , 2006, 2006 IEEE/WIC/ACM International Conference on Web Intelligence and Intelligent Agent Technology Workshops.

[13]  Miao Duo-qian,et al.  Information-based algorithm for reduction of knowledge , 1997, 1997 IEEE International Conference on Intelligent Processing Systems (Cat. No.97TH8335).

[14]  Jie Zhou,et al.  Research of reduct features in the variable precision rough set model , 2009, Neurocomputing.

[15]  Wei-Zhi Wu,et al.  Approaches to knowledge reduction based on variable precision rough set model , 2004, Inf. Sci..

[16]  Yinghong Ma,et al.  An Incremental Learning Algorithm Based on Rough Set Theory , 2007, International Conference on Computational Science.

[17]  Yiyu Yao,et al.  Probabilistic rough set approximations , 2008, Int. J. Approx. Reason..

[18]  Yiyu Yao,et al.  Attribute reduction in decision-theoretic rough set models , 2008, Inf. Sci..