Research Article -Cut Decision-Theoretic Rough Set Approach….pdfVIP

Hindawi Publishing Corporation 顎爀 Scienti铿乧 World Journal Volume 2014, Article ID 382439, 12 pages /10.1155/2014/382439 Research Article 砘?Cut Decision-Theoretic Rough Set Approach: Model and Attribute Reductions Hengrong Ju,1,2 Huili Dou,1,2 Yong Qi,3,4 Hualong Yu,1 Dongjun Yu,4 and Jingyu Yang4 1 School of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu 212003, China 2 Key Laboratory of Intelligent Perception and Systems for High-Dimensional Information, Nanjing University of Science and Technology, Ministry of Education, Nanjing, Jiangsu 210094, China 3 School of Economics and Management, Nanjing University of Science and Technology, Nanjing, Jiangsu 210094, China 4 School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing, Jiangsu 210093, China Correspondence should be addressed to Huili Dou; douhuili@163.com Received 5 May 2014; Accepted 6 July 2014; Published 22 July 2014 Academic Editor: Weihua Xu Copyright 漏 2014 Hengrong Ju et al. his is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Decision-theoretic rough set is a quite useful rough set by introducing the decision cost into probabilistic approximations of the target. However, Yao鈥檚 decision-theoretic rough set is based on the classical indiscernibility relation; such a relation may be too strict in many applications. To solve this problem, a 砘?cut decision-theoretic rough set is proposed, which is based on the 砘?cut quantitative indiscernibility relation. Furthermore, with respect to criterions of decision-monotonicity and cost decreasing, two diferent algor