Rough sets and topological spaces based on similarity

作者: E. A. Abo-Tabl

DOI: 10.1007/S13042-012-0107-7

关键词: Discrete mathematicsOpen setTrivial topologySeparated setsHomeomorphismMathematicsPure mathematicsTopological dynamicsGeneral topologyTopological vector spaceTopological space

摘要: … We obtain the concepts of rough sets from topology, also we obtain the concepts of topological space from rough sets. Furthermore, if the function between two topological spaces is …

参考文章(42)
A. Wiweger, On topological rough sets Bulletin of The Polish Academy of Sciences Mathematics. ,vol. 37, pp. 89- 93 ,(1989)
Tsau Young Lin, Granular Computing on Binary Relations TSCTC '02 Proceedings of the Third International Conference on Rough Sets and Current Trends in Computing. pp. 296- 299 ,(2002)
Tsau Y. Lin, Topological and Fuzzy Rough Sets Intelligent Decision Support. pp. 287- 304 ,(1992) , 10.1007/978-94-015-7975-9_18
Lech Polkowski, Rough Sets: Mathematical Foundations Physica-Verlag. ,(2002)
Zdzisław Pawlak, Reasoning about Knowledge Springer, Dordrecht. pp. 81- 115 ,(1991) , 10.1007/978-94-011-3534-4_7
Andrzej Skowron, Jaroslaw Stepaniuk, Tolerance approximation spaces Fundamenta Informaticae. ,vol. 27, pp. 245- 253 ,(1996) , 10.3233/FI-1996-272311
Andrzej Skowron, Roman Swiniarski, Piotr Synak, Approximation spaces and information granulation Lecture Notes in Computer Science. ,vol. 3066, pp. 175- 189 ,(2005) , 10.1007/978-3-540-25929-9_13
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
Hung T. Nguyen, Some mathematical structures for computational information Information Sciences. ,vol. 128, pp. 67- 89 ,(2000) , 10.1016/S0020-0255(00)00039-6