Soft ω-Weak Continuity between Soft Topological Spaces

We define soft ω-weak continuity as a new soft continuity notion, which is strictly weakerthan the soft ω-continuity and soft weak continuity. We present two characterizations and twocomposition theorems for the soft ω-weak continuity. Moreover, via soft ω-weak continuity,we give several preservatio...

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Bibliographic Details
Published inINTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS Vol. 24; no. 2; pp. 160 - 170
Main Author Ghour, Samer Al
Format Journal Article
LanguageEnglish
Published 한국지능시스템학회 01.06.2024
Subjects
전기공학
Soft connectedness
ω-weak continuity
Generated soft topology
Soft Urysohn
Soft ω-continuity
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Summary:We define soft ω-weak continuity as a new soft continuity notion, which is strictly weakerthan the soft ω-continuity and soft weak continuity. We present two characterizations and twocomposition theorems for the soft ω-weak continuity. Moreover, via soft ω-weak continuity,we give several preservation theorems related to soft connectedness and soft separation axioms. Additionally, we introduce w∗-ω-continuous functions as a new class of soft functions strictlycontaining a class of soft ω-continuous functions. We show that soft ω-weak continuityand soft w∗-ωcontinuities are independent notions, and use them to obtain a decompositiontheorem for the soft ω-continuity. Finally, we study the relationships between our new softnotions and their analogs in general topology. KCI Citation Count: 0
ISSN:1598-2645
2093-744X
DOI:10.5391/IJFIS.2024.24.2.160