Topological Structures of Rough Sets Induced by Equivalence Relations | Zendy

Michiro Kondo | Zendy; Wiesław A. Dudek | Zendy

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Topological Structures of Rough Sets Induced by Equivalence Relations

Author(s) -

Michiro Kondo,

Wiesław A. Dudek

Publication year - 2006

Publication title -

journal of advanced computational intelligence and intelligent informatics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.172

H-Index - 20

eISSN - 1343-0130

pISSN - 1883-8014

DOI - 10.20965/jaciii.2006.p0621

Subject(s) - equivalence (formal languages) , rough set , equivalence relation , mathematics , space (punctuation) , topological space , topology (electrical circuits) , discrete mathematics , pure mathematics , combinatorics , physics , computer science , artificial intelligence , operating system

In this paper we consider some fundamental topological properties of rough sets induced by equivalence relations and show that 1. Every approximation space is retrieval. 2. For every approximation space X = (X, θ), X is strongly connected if and only if θ = X ×X. Moreover we consider topological properties of generalized rough sets.

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