The Models of Variable Precision Multigranulation Rough Sets

作者: Huili Dou , Xibei Yang , Jiyue Fan , Suping Xu

DOI: 10.1007/978-3-642-31900-6_57

关键词: Binary relationRough setAlgorithmVariable precisionMathematicsDiscrete mathematics

摘要: Multigranulation rough set is a new expansion of the classical since former use family binary relations instead single relation for constructing approximations. In this paper, basic idea variable precision introduced into multigranulation environment and then concept proposed. Similar to set, optimistic pessimistic sets are defined, respectively. Not only properties investigated, but also relationships among examined.

参考文章(10)
Qian, Liang, Yuhua, Jiye, Wei, Pessimistic Rough Decision 浙江海洋学院学报:自然科学版. ,vol. 29, pp. 440- 449 ,(2010)
Xibei Yang, Xiaoning Song, Zehua Chen, Jingyu Yang, On multigranulation rough sets in incomplete information system International Journal of Machine Learning and Cybernetics. ,vol. 3, pp. 223- 232 ,(2012) , 10.1007/S13042-011-0054-8
Wojciech Ziarko, Probabilistic approach to rough sets International Journal of Approximate Reasoning. ,vol. 49, pp. 272- 284 ,(2008) , 10.1016/J.IJAR.2007.06.014
Wojciech Ziarko, Variable precision rough set model Journal of Computer and System Sciences. ,vol. 46, pp. 39- 59 ,(1993) , 10.1016/0022-0000(93)90048-2
Yuhua Qian, Jiye Liang, Witold Pedrycz, Chuangyin Dang, Positive approximation: An accelerator for attribute reduction in rough set theory Artificial Intelligence. ,vol. 174, pp. 597- 618 ,(2010) , 10.1016/J.ARTINT.2010.04.018
Xueying Zhang, Yueling Guo, Xuemei Hou, MGRS in Incomplete Information Systems granular computing. pp. 163- 163 ,(2007) , 10.1109/GRC.2007.96
Yuhua Qian, Jiye Liang, Yiyu Yao, Chuangyin Dang, MGRS: A multi-granulation rough set Information Sciences. ,vol. 180, pp. 949- 970 ,(2010) , 10.1016/J.INS.2009.11.023
Yuhua Qian, Jiye Liang, Chuangyin Dang, Incomplete Multigranulation Rough Set systems man and cybernetics. ,vol. 40, pp. 420- 431 ,(2010) , 10.1109/TSMCA.2009.2035436
Qiaorong Wang, Weihua Xu, Xiantao Zhang, Multi-granulation Fuzzy Rough Sets in a Fuzzy Tolerance Approximation Space International Journal of Fuzzy Systems. ,vol. 13, pp. 246- 259 ,(2011) , 10.30000/IJFS.201112.0002