Neighborhood-based Multigranulation Rough Set in Incomplete Grey Fuzzy Information System

In recent years, multigranulation approach is a new arisen data analyzing model. In order to extend the theory of MGRS in complex incomplete grey fuzzy information system, the objective of this paper is to develop a multigranulation rough set in the framework of neighborhood system theory. Then a new neighborhood relation is proposed in incomplete grey fuzzy information system by using grey fuzzy values. Moreover, based on proposed neighborhood relation, a new Neighborhood-based multigranulation rough set in incomplete grey fuzzy information system is presented, and some of its important properties are investigated and the results of experimental analysis show that the proposed method is efiective.

[1]  Tsau Young Lin,et al.  Neighborhood systems: mathematical models of information granulations , 2003, SMC'03 Conference Proceedings. 2003 IEEE International Conference on Systems, Man and Cybernetics. Conference Theme - System Security and Assurance (Cat. No.03CH37483).

[2]  Andrzej Skowron,et al.  Rough sets: Some extensions , 2007, Inf. Sci..

[3]  Bing Huang,et al.  Graded dominance interval-based fuzzy objective information systems , 2011, Knowl. Based Syst..

[4]  Yuhua Qian,et al.  NMGRS: Neighborhood-based multigranulation rough sets , 2012, Int. J. Approx. Reason..

[5]  Ming Zhang,et al.  Neighborhood systems-based rough sets in incomplete information system , 2011, Knowl. Based Syst..

[6]  Qinghua Hu,et al.  Neighborhood rough set based heterogeneous feature subset selection , 2008, Inf. Sci..

[7]  Andrzej Skowron,et al.  Rudiments of rough sets , 2007, Inf. Sci..

[8]  D. Dubois,et al.  ROUGH FUZZY SETS AND FUZZY ROUGH SETS , 1990 .

[9]  Jianhua Dai,et al.  Rough set approach to incomplete numerical data , 2013, Inf. Sci..