On b-open Sets via Infra Soft Topological Spaces

Author:

Abu-Gdairi Radwan,Al-Shamiri Mohammed M. Ali,Saleh S.,Al-shami Tareq

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.

Publisher

New York Business Global LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. n<SUP>th</SUP> Power Root Fuzzy Sets and Its Topology;INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS;2022-12-31

2. Continuity and separation axioms via infra-topological spaces;Journal of Mathematics and Computer Science;2022-12-29

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