Local compactness and paracompactness on bipolar soft topological spaces

A bipolar soft set is given by helping not only a chosen set of “parameters” but also a set of oppositely meaning parameters called “not set of parameters”. It is known that a structure of bipolar soft set is consisted of two mappings such that F : E → P (X) and G :⌉ E → P (X), where F explains posi...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2022-01, Vol.43 (5), p.6755-6763
Main Authors: Aras, Cigdem G., Al-shami, Tareq M., Mhemdi, Abdelwaheb, Bayramov, Sadi
Format: Article
Language:English
Subjects:
Parameters
Topology
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Summary:A bipolar soft set is given by helping not only a chosen set of “parameters” but also a set of oppositely meaning parameters called “not set of parameters”. It is known that a structure of bipolar soft set is consisted of two mappings such that F : E → P (X) and G :⌉ E → P (X), where F explains positive information and G explains opposite approximation. In this study, we first introduce a new definition of bipolar soft points to overcome the drawbacks of the previous definition of bipolar soft points given in [34]. Then, we explore the structures of bipolar soft locally compact and bipolar soft paracompact spaces. We investigate their main properties and illuminate the relationships between them. Also, we define the concept of a bipolar soft compactification and investigate under what condition a bipolar soft topology forms a bipolar soft compactification for another bipolar soft topology. To elucidate the presented concepts and obtained results, we provide some illustrative examples.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-220834