On b-open Sets via Infra Soft Topological Spaces

Authors

  • Radwan Abu-Gdairi
  • Mohammed M. Ali Al-Shamiri
  • S. Saleh
  • 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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How to Cite

Abu-Gdairi, R. ., Al-Shamiri, M. M. A., Saleh, S. ., & Al-shami, T. (2022). On b-open Sets via Infra Soft Topological Spaces. European Journal of Pure and Applied Mathematics, 15(4), 1455–1471. https://doi.org/10.29020/nybg.ejpam.v15i4.4497