Generalized Near Rough Probability in Topological Spaces
M. E. Abd El-Monsef, A.M. Kozae, Radwan Abu-Gdairi · 2011
Rough set theory has been introduced by Pawlak [13]. It is considered as a base for all researches in the rough set area introduced after this date. Most of these researches concentrated on developing results and techniques based on Pawlak's results [13]. In this paper we shall introduce generalized rough probability from topological view. The basic concepts of some generalized near open, generalized near rough, and generalized near exact sets are introduced and sufficiently illustrated. Moreover, proved results, examples and counter examples are provided. The topological structure which suggested in this paper opens up the way for applying rich amount of topological facts and methods in the process of granular computing.