γ and β Approximations via General Ordered Topological Spaces  

作　　者：Mohamed Abo-Elhamayel Mohamed Abo-Elhamayel(Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt)

机构地区：[1]Mathematics Department, Faculty of Science, Mansoura University, Mansoura, Egypt

出　　处：《Applied Mathematics》2016年第14期1580-1588,共10页应用数学（英文）

摘　　要：In this paper, we introduce the concepts of g and b approximations via general ordered topological approximation spaces. Also, increasing (decreasing) g, b boundary, positive and negative regions are given in general ordered topological approximation spaces (GOTAS, for short). Some important properties of them were investigated. From this study, we can say that studying any properties of rough set concepts via GOTAS is a generalization of Pawlak approximation spaces and general approximation spaces.In this paper, we introduce the concepts of g and b approximations via general ordered topological approximation spaces. Also, increasing (decreasing) g, b boundary, positive and negative regions are given in general ordered topological approximation spaces (GOTAS, for short). Some important properties of them were investigated. From this study, we can say that studying any properties of rough set concepts via GOTAS is a generalization of Pawlak approximation spaces and general approximation spaces.

关 键 词：Rough Sets APPROXIMATIONS Ordered Topological Spaces 

分 类 号：O17[理学—数学]