دورية أكاديمية

A Novel Framework for Generalizations of Soft Open Sets and Its Applications via Soft Topologies

التفاصيل البيبلوغرافية
العنوان: A Novel Framework for Generalizations of Soft Open Sets and Its Applications via Soft Topologies
المؤلفون: Tareq M. Al-shami, Abdelwaheb Mhemdi, Radwan Abu-Gdairi
المصدر: Mathematics, Vol 11, Iss 4, p 840 (2023)
بيانات النشر: MDPI AG, 2023.
سنة النشر: 2023
المجموعة: LCC:Mathematics
مصطلحات موضوعية: weakly soft semi-open set, extended soft topology, weakly soft semi-interior and semi-closure operators, weakly soft semi-continuous function, Mathematics, QA1-939
الوصف: Soft topological spaces (STSs) have received a lot of attention recently, and numerous soft topological ideas have been created from differing viewpoints. Herein, we put forth a new class of generalizations of soft open sets called “weakly soft semi-open subsets” following an approach inspired by the components of a soft set. This approach opens the door to reformulating the existing soft topological concepts and examining their behaviors. First, we deliberate the main structural properties of this class and detect its relationships with the previous generalizations with the assistance of suitable counterexamples. In addition, we probe some features that are obtained under some specific stipulations and elucidate the properties of the forgoing generalizations that are missing in this class. Next, we initiate the interior and closure operators with respect to the classes of weakly soft semi-open and weakly soft semi-closed subsets and look at some of their fundamental characteristics. Ultimately, we pursue the concept of weakly soft semi-continuity and furnish some of its descriptions. By a counterexample, we elaborate that some characterizations of soft continuous functions are invalid for weakly soft semi-continuous functions.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2227-7390
العلاقة: https://www.mdpi.com/2227-7390/11/4/840Test; https://doaj.org/toc/2227-7390Test
DOI: 10.3390/math11040840
الوصول الحر: https://doaj.org/article/93952a3ad3f048809fd42fa09283dffeTest
رقم الانضمام: edsdoj.93952a3ad3f048809fd42fa09283dffe
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:22277390
DOI:10.3390/math11040840