الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
In this thesis we have accomplished the following objectives: 1-Introduce a generalization for rough set theory concepts using ordered topological concepts and known as ordered topological approximation spaces. 2- Introduce the concepts of general ordered topological approximation spaces. 3- There is a comparison between the properties of the concepts which we introduced and properties which Pawlak introduced. 4- Introduce the concepts of semi approximations via generalized ordered topological approximation spaces. 5- Case study. We introduce, the concepts of ordered topological approximation spaces. Relationships among properties of rough sets in approximation spaces and ordered topological approximation spaces are investigated. Finally, we give the concepts of generalized ordered topological approximation spaces. Also, we give the concepts of semi approximations based on generalized ordered topological approximation spaces and their properties.