Characterizations and Properties of Soft S-Closed Spaces

This paper introduces soft S-closed spaces, a new class of soft topological spaces.We establish a number of characterizations, including one involving soft filterbases, which establishes that a soft topological space is soft S-closed if and only if every soft filterbase has a soft saccumulation point.This study placed soft S-closedness in context with other related notions by exploring its relationship with soft compact, soft quasi-H-closed, and soft nearly compact spaces.In addition, the properties of S-closedness with respect to soft semicontinuous and soft irresolute mappings are also studied.Finally, we create a one-to-one correspondence for generated soft topologies, showing under which a topology is soft S-closed if and only if every classical space of the generated topology is S-closed.

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Publication Details

Journal
International Journal of Fuzzy Logic and Intelligent Systems
Published
2026-06-30
DOI
https://doi.org/10.5391/ijfis.2026.26.2.228
Primary Topic
Fuzzy and Soft Set Theory
Type
article
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article

Characterizations and Properties of Soft S-Closed Spaces

Samer Al Ghour
International Journal of Fuzzy Logic and Intelligent Systems
Fuzzy and Soft Set Theory
article

Characterizations and Properties of Soft S-Closed Spaces

Samer Al Ghour
article en

Abstract

This paper introduces soft S-closed spaces, a new class of soft topological spaces.We establish a number of characterizations, including one involving soft filterbases, which establishes that a soft topological space is soft S-closed if and only if every soft filterbase has a soft saccumulation point.This study placed soft S-closedness in context with other related notions by exploring its relationship with soft compact, soft quasi-H-closed, and soft nearly compact spaces.In addition, the properties of S-closedness with respect to soft semicontinuous and soft irresolute mappings are also studied.Finally, we create a one-to-one correspondence for generated soft topologies, showing under which a topology is soft S-closed if and only if every classical space of the generated topology is S-closed.

International Journal of Fuzzy Logic and Intelligent SystemsVol. 26(2)
Jordan University of Science and Technology (JO)
Openalex Percentile: Top 4%
Fuzzy and Soft Set Theory
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