• GENERALIZED ROUGH PROBABILITY IN TOPOLOGICAL SPACES
Abstract
ABSTRACT
Rough set theory has been introduced by Pawlak [4]. 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 [4]. In this paper we shall introduce generalized rough probability from topological view. The basic concepts of generalized open, generalized rough, and generalized 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.
Rough set theory has been introduced by Pawlak [4]. 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 [4]. In this paper we shall introduce generalized rough probability from topological view. The basic concepts of generalized open, generalized rough, and generalized 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.
Keywords
Keywords: Topological space; Generalized rough set, Generalized rough probability.
Full Text:
PDF
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
| © 2010-2022 International Journal of Mathematical Archive (IJMA) Copyright Agreement & Authorship Responsibility |