On b-open Sets via Infra Soft Topological Spaces

Authors

  • Radwan Abu-Gdairi
  • Mohammed M. Ali Al-Shamiri
  • Salem Ali Mohammed Saleh Department of Computer Science, Cihan University- Erbil, Iraq
  • Tareq Al-shami Sana'a university

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i4.4497

Keywords:

Infra soft b-open set, infra soft b-interior points, infra soft b-closure points, infra soft b-continuity

Abstract

This work aims to present the concept of infra soft $b$-open sets(IS-b-open sets) as a generalized new class of infra open sets(IS-open sets). We first investigate their basic properties and study their behaviours under infra soft homeomorphism maps and finite product of soft spaces. Then, we establish some soft operators such as interior, closure, limit and boundary using IS-b-open sets and IS-$b$-closed sets. The relationships between them are illustrated and discussed. Finally, we display some soft maps(S-map) defined using IS-$b$-open and IS-$b$-closed sets and scrutinize their master properties.

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Published

2022-10-31

Issue

Vol. 15 No. 4: (October 2022)

Section

Nonlinear Analysis

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

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Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

On b-open Sets via Infra Soft Topological Spaces. (2022). European Journal of Pure and Applied Mathematics, 15(4), 1455-1471. https://doi.org/10.29020/nybg.ejpam.v15i4.4497