On binary soft topological spaces

Shivanagappa S. Benchalli; Prakashgouda G. Patil; Abeda S. Dodamani; J. Pradeepkumar

doi:10.12732/ijam.v30i6.1

On binary soft topological spaces

Shivanagappa S. Benchalli, Prakashgouda G. Patil, Abeda S. Dodamani, J. Pradeepkumar

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In the present paper, we introduce binary soft topological spaces which are defined over two initial universe sets with a fixed set of parameters. The notions of binary soft open sets, binary soft closed sets, binary soft closure, binary soft interior, binary soft boundary, binary soft neighborhood of a point are introduced and their basic properties are investigated with the suitable examples. These results are fundamental for further research on binary soft topology and will strengthen the foundations of the theory of binary soft topological spaces.

Original language	English
Pages (from-to)	437-454
Number of pages	18
Journal	International Journal of Applied Mathematics
Volume	30
Issue number	6
DOIs	https://doi.org/10.12732/ijam.v30i6.1
Publication status	Published - 2017
Externally published	Yes

Keywords

Binary soft closure
Binary soft interior
Binary soft neighborhood
Binary soft topology

ASJC Scopus subject areas

General Mathematics
Computational Theory and Mathematics

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10.12732/ijam.v30i6.1

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title = "On binary soft topological spaces",

abstract = "In the present paper, we introduce binary soft topological spaces which are defined over two initial universe sets with a fixed set of parameters. The notions of binary soft open sets, binary soft closed sets, binary soft closure, binary soft interior, binary soft boundary, binary soft neighborhood of a point are introduced and their basic properties are investigated with the suitable examples. These results are fundamental for further research on binary soft topology and will strengthen the foundations of the theory of binary soft topological spaces.",

keywords = "Binary soft closure, Binary soft interior, Binary soft neighborhood, Binary soft topology",

author = "Benchalli, {Shivanagappa S.} and Patil, {Prakashgouda G.} and Dodamani, {Abeda S.} and J. Pradeepkumar",

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AU - Patil, Prakashgouda G.

AU - Dodamani, Abeda S.

AU - Pradeepkumar, J.

PY - 2017

Y1 - 2017

N2 - In the present paper, we introduce binary soft topological spaces which are defined over two initial universe sets with a fixed set of parameters. The notions of binary soft open sets, binary soft closed sets, binary soft closure, binary soft interior, binary soft boundary, binary soft neighborhood of a point are introduced and their basic properties are investigated with the suitable examples. These results are fundamental for further research on binary soft topology and will strengthen the foundations of the theory of binary soft topological spaces.

AB - In the present paper, we introduce binary soft topological spaces which are defined over two initial universe sets with a fixed set of parameters. The notions of binary soft open sets, binary soft closed sets, binary soft closure, binary soft interior, binary soft boundary, binary soft neighborhood of a point are introduced and their basic properties are investigated with the suitable examples. These results are fundamental for further research on binary soft topology and will strengthen the foundations of the theory of binary soft topological spaces.

KW - Binary soft closure

KW - Binary soft interior

KW - Binary soft neighborhood

KW - Binary soft topology

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DO - 10.12732/ijam.v30i6.1

M3 - Article

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JO - International Journal of Applied Mathematics

JF - International Journal of Applied Mathematics

IS - 6

ER -

On binary soft topological spaces

Abstract

Keywords

ASJC Scopus subject areas

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