{"title":"Variable Rough Set Model and Its Knowledge Reduction for Incomplete and Fuzzy Decision Information Systems","authors":"Da-kuan Wei, Xian-zhong Zhou, Dong-jun Xin, Zhi-wei Chen","volume":6,"journal":"International Journal of Computer and Information Engineering","pagesStart":1642,"pagesEnd":1647,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/10310","abstract":"The information systems with incomplete attribute\nvalues and fuzzy decisions commonly exist in practical problems. On\nthe base of the notion of variable precision rough set model for\nincomplete information system and the rough set model for\nincomplete and fuzzy decision information system, the variable rough\nset model for incomplete and fuzzy decision information system is\nconstructed, which is the generalization of the variable precision\nrough set model for incomplete information system and that of rough\nset model for incomplete and fuzzy decision information system. The\nknowledge reduction and heuristic algorithm, built on the method and\ntheory of precision reduction, are proposed.","references":"[1] M. Kryszkiewicz. \"Rough set approach to incomplete information\nsystems,\" Information Sciences, vol. 112, pp. 39-49, 1998.\n[2] M. Kryszkiewicz. \"Rules in incomplete information systems,\"\nInformation Sciences, vol. 113, pp. 271-292, 1999.\n[3] R. Slowinski and D. Vanderpooten. \"A Generalized Definition of Rough\nApproximation Based on Similarity,\" IEEE TRANSACTIONS ON\nKNOWLEDGE AND DATA ENGIERING, vol. 12. pp. 331-336,\nMarch\/April 2000.\n[4] G. Y. Wang. Rough Set Theory and Knowledge Acquisition. Xi'an: Xi'an\nJiaoTong University Press, 2001.\n[5] G. Y. Wang. \"Extension of Rough Set under Incomplete Information\nsystems,\" Journal of Computer Research and Development, vol.39, no.\n10, pp. 1238-1243, Oct. 2002.\n[6] W. Z. Wu, J. S. Mi and W. X. Zhang. \"A New Rough Set Approach to\nKnowledge Discovery in Incomplete Information System,\" Proceedings\nof the Second International Conference on Machine Learning and\nCybernetics, Xi-an, pp. 1713-1718, 2-5 November 2003.\n[7] B. Huang, D. K. Wei and X. Z. Zhou. \"An algorithm for Maximum\nDistribution Reductions and Maximum Distribution Rules in Information\nsystem,\" Computer science, vol. 31, no. 10A, pp. 80-83, 2004.\n[8] B. Huang and X. Z. Zhou. \"Extension of Rough Set Model Based on\nConnection Degree under Incomplete Information System,\" Systems\nEngineering --Theory and Practice, no. 1, pp. 88-92, 2004.\n[9] D. K. Wei, X. Z. Zhou and Y. G. Zhu. \"Knowledge Reduction in\nIncomplete Information System Based on Improved-Tolerance Relation,\"\nComputer Science, vol. 32, no. 8.A, pp. 53-56, 2005.\n[10] D. K. We and X. Z. Zhou. \"Rough Set Model in Incomplete and Fuzzy\nDecision Information System Based on Improved-Tolerance Relation,\"\n2005 IEEE INTERNATIONAL CONFERENCE ON GRANULAR\nCOMPUTERING, Tsinghua University, China, pp. 278~283, July 2005.\n[11] D. K. Wei, B. Huang and X. Z Zhou. \"Rough Set Model and Knowledge\nReduction in Incomplete and Fuzzy Objective Information system,\"\nComputer Engineering, no.7, 2006. (to be published)\n[12] D. K. Wei, and X. Z Zhou. \"A Rough Set Approach to Incomplete and\nfuzzy decision information system,\" 2006 IEEE the 6th World Congress\non Intelligent Control Automation, Dalian, China, July 21-23, 2005. (to\nbe published)\n[13] H.Y. Zhang, and J.Y. Liang. \"Variable Precision Rough Set Model and a\nKnowledge Reduction Algorithm for Incomplete Information System,\"\nComputer Science, vol.30, no. 4, pp: 153-155, 2003.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 6, 2007"}