Abstract

The primary aim of this paper is to discuss the interior and closure operators of binary $S_{\alpha}$ set in binary topological spaces. That is binary $S_{\alpha}$-closure and binary $S_{\alpha}$-interior are defined. Also, their basic properties are discussed with suitable examples. Furthermore, the basic relation with the other existing sets have been discussed.binary $S_{\alpha}$-closure and binary $S_{\alpha}$-interior are denoted as $_{b} S_{\alpha} cl$ and $_{b} S_{\alpha} int$ respectively.

Keywords and Phrases

Binary $S_{\alpha}$ set, Binary $S_{\alpha}$-closure, Binary $S_{\alpha}$-interior, Binary topological space, Binary interior, Binary closure.

A.M.S. subject classification

54D70.

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