Rough Set Approximations on A Semi Bitopological View
نویسنده
چکیده
The main goal of this paper is to introduce a new bitopological approaches to rough sets. Suggested approaches depend on two topologies, generated by a general relation. The first topology is a right topology whose subbase is the family of right neighborhoods and a subbase of the other topology, left topology, is the family of left neighborhoods, with respect to that general relation. Some Pawlak’s concepts are redefined, some properties are deduced and supported with proved propositions and many counter examples. We compare among suggested approaches, by using their approximations and accuracy measures. Hence, the best of them is determined. Finally, we deduce that traditional rough set model is a special case of any suggested model in this study.
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