Study on covering rough sets with topological methods. Issue 3 (30th April 2019)

• Record Type: Journal Article
• Authors: Wang, Xue; Ma, Liwen
• Is Part Of: CAAI transactions on intelligence technology. Volume 4:Issue 3(2019)
• Page Start: 129
• Page End: 134
• Publication Date: 2019-04-30
• Subjects: rough set theory -- topology; covering rough sets -- topological methods -- general topology -- rough set theories -- separation axioms -- covering rough topological spaces -- complementary neighbourhoods -- CRT spaces; A0210 Algebra, set theory, and graph theory -- A0240 Geometry, differential geometry, and topology -- B0250 Combinatorial mathematics -- C1160 Combinatorial mathematics -- E0210E Combinatorial mathematics; Artificial intelligence -- Periodicals; Computer science -- Periodicals; Artificial intelligence; Computer science; Electronic journals; Periodicals; 006.305
• DOI: 10.1049/trit.2019.0008
• Languages: English
• ISSNs: 2468-6557

Abstract

Abstract : The authors study the covering rough sets by topological methods. They combine the covering rough sets and topological spaces by means of defining some new types of spaces called covering rough topological (CRT) spaces based on neighbourhoods or complementary neighbourhoods. As the separation axioms play a fundamental role in general topology, they introduce all these axioms into covering rough set theories and thoroughly study the equivalent conditions for every separation axiom in several CRT spaces. They also investigate the relationships between the separation axioms in these special spaces and reveal these relationships through diagrams in different CRT spaces.