Rough topological space using equivalence relation | Zendy

Sri lakshmi sudha rani D. | Zendy; K. Kavitha | Zendy

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Rough topological space using equivalence relation

Author(s) -

Sri lakshmi sudha rani D.,

K. Kavitha

Publication year - 2020

Publication title -

international research journal on advanced science hub

Language(s) - English

Resource type - Journals

ISSN - 2582-4376

DOI - 10.47392/irjash.2020.233

Subject(s) - rough set , equivalence relation , topological space , granular computing , mathematics , topology (electrical circuits) , relation (database) , equivalence (formal languages) , fuzzy set , topological vector space , pure mathematics , computer science , fuzzy logic , data mining , artificial intelligence , combinatorics

To generalise the basic rough set definitions, the topology induced by equivalence relations is used. The proposed topological structure opens the way for the implementation of a broad range of topological facts and techniques in the granular computing process, including the introduction of the definition of topological membership functions that incorporates the concept of rough and fuzzy sets. There is an overlap between rough set theory and several other theories dealing with incomplete knowledge

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