Department of Mathematics, Faculty of Science, Tanta University, Egypt
http://dx.doi.org/10.1016/j.joems.2014.12.007
Abstract
In this paper, we present the covering rough sets based on neighborhoods by approximation operations as a new type of extended covering rough set models. In fact, we have introduced generalizations to W. Zhu approaches (Zhu, 2007). Based on the notion of neighborhood induced from any binary relation, four different pairs of dual approximation operators are defined with their properties being discussed. The relationships among these operators are investigated. Finally, an interesting theorem to generate different topologies is provided. Comparisons between these topologies are discussed. In addition, several examples and counter examples to indicate counter connections are investigated.
Abd El-Monsef, M., Kozae, A., & El-Bably, M. (2015). On generalizing covering approximation space. Journal of the Egyptian Mathematical Society, 23(3), 535-545. doi: http://dx.doi.org/10.1016/j.joems.2014.12.007
MLA
M.E. Abd El-Monsef; A.M. Kozae; M.K. El-Bably. "On generalizing covering approximation space", Journal of the Egyptian Mathematical Society, 23, 3, 2015, 535-545. doi: http://dx.doi.org/10.1016/j.joems.2014.12.007
HARVARD
Abd El-Monsef, M., Kozae, A., El-Bably, M. (2015). 'On generalizing covering approximation space', Journal of the Egyptian Mathematical Society, 23(3), pp. 535-545. doi: http://dx.doi.org/10.1016/j.joems.2014.12.007
VANCOUVER
Abd El-Monsef, M., Kozae, A., El-Bably, M. On generalizing covering approximation space. Journal of the Egyptian Mathematical Society, 2015; 23(3): 535-545. doi: http://dx.doi.org/10.1016/j.joems.2014.12.007
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