|
|
Rough Set Model Based on Logical OR Operation of Precision and Grade |
ZHANG Xian-Yong1, XIONG Fang2, MO Zhi-Wen1 |
1.College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068 2.College of Automation, University of Electronic Science and Technology of China, Chengdu 610054 |
|
|
Abstract Precision and grade are two important indexes for quantitative research. The purpose of this paper is to combine precision and grade and explore a new extended rough set model. Transformation formulas of variable precision approximations and graded approximations are obtained by studying the relationship between them. Based on the logical OR requirement of precision and grade, rough set model of logical OR operation of precision and grade and new rough set regions are proposed. In rough set model of logical OR operation of precision and grade, basic structures of rough set regions are gained. The regular algorithm and structure algorithm are proposed and analyzed to calculate rough set regions. The variable precision rough set model, graded rough set model and classical rough set model are extended by the proposed model, and thus these models get corresponding structures of rough set regions.
|
Received: 25 August 2008
|
|
|
|
|
[1] Pawlak Z. Rough Sets. International Journal of Computer and Information Sciences, 1982, 11: 341-356 [2] Ziarko W. Variable Precision Rough Set Model. Journal of Computer and System Sciences, 1993, 46(1): 39-59 [3] Zhang Xianyong, Mo Zhiwen. Variable Precision Rough Sets. Pattern Recognition and Artificial Intelligence, 2004, 17(2): 151-155 (in Chinese) (张贤勇,莫智文.变精度粗糙集.模式识别与人工智能, 2004, 17(2): 151-155) [4] Yao Y Y, Lin T Y. Generalization of Rough Sets Using Modal Logics. Intelligent Automation and Soft Computing: An International Journal, 1996, 2(2): 103-120 [5] Pei Zhili, Shi Xiaohu, Niu Meng, et al. A Method of Gene-Function Annotation Based on Variable Precision Rough Sets. Journal of Bionic Engineering, 2007, 4(3): 177-184 [6] Hong T P, Wang T T, Wang S L. Mining Fuzzy β-Certain and β-Possible Rules from Quantitative Data Based on the Variable Precision Rough-Set Model. Expert Systems with Applications, 2007, 32(1): 223-232 [7] Xie Gang, Zhang Jinlong, Lai K K, et al. Variable Precision Rough Set for Group Decision-Making: An Application. International Journal of Approximate Reasoning, 2008, 49(2): 331-343 [8] Li Xiangpeng, Dong Min. An Algorithm for Constructing Decision Tree Based on Variable Precision Rough Set Model // Proc of the 4th International Conference on Natural Computation. Jinan, China, 2008: 280-283 [9] Liu Ruixin, Sun Shibao, Qin Keyun. Variable Precision Cover Rough Sets. Computer Engineering and Applications, 2008, 44(12): 47-50 (in Chinese) (刘瑞新,孙士保,秦克云.变精度覆盖粗糙集.计算机工程与应用, 2008, 44(12): 47-50) [10] Sun Shibao, Yao Leilei, Wu Qingtao, et al. Research of Generalized Variable Precision Rough Set Model and Its Application. Computer Engineering and Applications, 2009, 45 (7): 10-13 (in Chinese) (孙士保,姚磊磊,吴庆涛,等.变精度粗糙集模型及其应用研究.计算机工程与应用, 2009, 45(7): 10-13) [11] Zhang Xianyong, Mo Zhiwen. Product Approximation of Grade and Precision. Journal of Electronic Science and Technology of China, 2005, 3(3): 276-279 [12] Zhang Xianyong, Mo Zhiwen, Xiong Fang. Approximation of Intersection of Grade and Precision // Cao Bingyuan, Zhang Chengyi, Li Taifu, eds. Fuzzy Information and Engineering. Berlin, Germany: Springer, 2008: 526-530 |
|
|
|