Rough Approximations on Two Universes Under a Mapping

In this paper, the focus is on the relation-based rough sets on two universes. Two universes are connected with a mapping, by which a relation on one universe is constructed based on the relation on the another universe, so two relations on the different universes are induced. The relationships between the rough approximations based on the induced relations and the original relations are examined in detail.

[1]  Yee Leung,et al.  Optimal scale selection for multi-scale decision tables , 2013, Int. J. Approx. Reason..

[2]  Zheng Pei,et al.  Generalized rough sets based on reflexive and transitive relations , 2008, Inf. Sci..

[3]  Yiyu Yao,et al.  Covering based rough set approximations , 2012, Inf. Sci..

[4]  Yiyu Yao,et al.  Constructive and Algebraic Methods of the Theory of Rough Sets , 1998, Inf. Sci..

[5]  Bingzhen Sun,et al.  Multigranulation rough set theory over two universes , 2015, J. Intell. Fuzzy Syst..

[6]  Yiyu Yao,et al.  Relational Interpretations of Neigborhood Operators and Rough Set Approximation Operators , 1998, Inf. Sci..

[7]  Xiaohong Zhang,et al.  Constructive methods of rough approximation operators and multigranulation rough sets , 2016, Knowl. Based Syst..

[8]  Jiye Liang,et al.  Multigranulation rough sets: From partition to covering , 2013, Inf. Sci..

[9]  Witold Pedrycz,et al.  Regranulation: A granular algorithm enabling communication between granular worlds , 2007, Inf. Sci..

[10]  Qingguo Li,et al.  Topological structure of generalized rough sets , 2012, Comput. Math. Appl..

[11]  Fei-Yue Wang,et al.  Properties of the Fourth Type of Covering-Based Rough Sets , 2006, 2006 Sixth International Conference on Hybrid Intelligent Systems (HIS'06).

[12]  Degang Chen,et al.  Some properties of relation information systems under homomorphisms , 2008, Appl. Math. Lett..

[13]  Qinghua Hu,et al.  Communication between information systems with covering based rough sets , 2012, Inf. Sci..

[14]  Yan-Lan Zhang,et al.  Relationships between covering-based rough sets and relation-based rough sets , 2013, Inf. Sci..

[15]  Yiyu Yao,et al.  MGRS: A multi-granulation rough set , 2010, Inf. Sci..

[16]  Andrzej Skowron,et al.  Tolerance Approximation Spaces , 1996, Fundam. Informaticae.

[17]  Wen-Xiu Zhang,et al.  Rough fuzzy approximations on two universes of discourse , 2008, Inf. Sci..

[18]  Jerzy W. Grzymala-Busse,et al.  Rough Sets , 1995, Commun. ACM.

[19]  Chris Cornelis,et al.  Neighborhood operators for covering-based rough sets , 2016, Inf. Sci..

[20]  Wei-Zhi Wu,et al.  Constructive and axiomatic approaches of fuzzy approximation operators , 2004, Inf. Sci..

[21]  Daniel Vanderpooten,et al.  A Generalized Definition of Rough Approximations Based on Similarity , 2000, IEEE Trans. Knowl. Data Eng..

[22]  Cong Wu,et al.  Communicating between information systems , 2008, Inf. Sci..