On General Binary Relation Based Rough Set

To keep the key idea of rough set and the representation of information in rough set theory, empty representation is processed properly and three new forms of rough approximation sets are defined as a generation of general binary relation based rough set model. Moreover, the properties of approximation operators in these new rough sets are discussed. The relations among them are studied in this paper. In addition, examples are arranged to interpret what we studied in this paper.

[1]  William Zhu,et al.  Relationship between generalized rough sets based on binary relation and covering , 2009, Inf. Sci..

[2]  Wen-Xiu Zhang,et al.  Attribute reduction in ordered information systems based on evidence theory , 2010, Knowledge and Information Systems.

[3]  Andrzej Skowron,et al.  Rough sets and Boolean reasoning , 2007, Inf. Sci..

[4]  Wen-Xiu Zhang,et al.  Methods for knowledge reduction in inconsistent ordered information systems , 2008 .

[5]  Wen-Xiu Zhang,et al.  Measuring roughness of generalized rough sets induced by a covering , 2007, Fuzzy Sets Syst..

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

[7]  Y. Yao,et al.  Generalized Rough Set Models , 1998 .

[8]  Michiro Kondo,et al.  On the structure of generalized rough sets , 2006, Inf. Sci..

[9]  Li Jin-jin Generalized Rough Set Models Under Similar Symmetric Relations , 2012 .

[10]  Yiyu Yao,et al.  Generalization of Rough Sets using Modal Logics , 1996, Intell. Autom. Soft Comput..

[11]  Masahiro Inuiguchi,et al.  Generalized Rough Sets and Rule Extraction , 2002, Rough Sets and Current Trends in Computing.

[12]  Fei-Yue Wang,et al.  Binary Relation Based Rough Sets , 2006, FSKD.

[13]  William Zhu,et al.  Generalized rough sets based on relations , 2007, Inf. Sci..

[14]  ZhuWilliam Relationship between generalized rough sets based on binary relation and covering , 2009 .

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