Abstract
Introducing a strong form of soft continuity between soft topological spaces is significant because it can contribute to our growing understanding of soft topological spaces and their features, provide a basis for creating new mathematical tools and methods, and have significant applications in various fields. In this paper, we define soft super-continuity as a new form of soft mapping. We present various characterizations of this soft concept. Also, we show that soft super-continuity lies strictly between soft continuity and soft complete continuity and that soft super-continuity is a strong form of soft δ-continuity. In addition, we give some sufficient conditions for the equivalence between soft super-continuity and other related concepts. Moreover, we characterize soft semi-regularity in terms of super-continuity. Furthermore, we provide several results of soft composition, restrictions, preservation, and products by soft super-continuity. In addition to these, we study the relationship between soft super-continuity and soft δ-continuity with their analogous notions in general topology. Finally, we give several sufficient conditions on a soft mapping to have a soft δ-closed graph.
Publisher
Public Library of Science (PLoS)
Reference60 articles.
1. Soft set theory—First results;D Molodtsov;Comput. Math. Appl,1999
2. Algorithms for COVID-19 outbreak using soft set theory: Estimation and application;O Dalkılıc;Soft Comput,2022
3. An application of soft sets in a decision making problem;P Maji;Comput. Math. Appl,2002
4. Pei D, Miao D. From soft sets to information systems. In Proceedings of the 2005 IEEE International Conference on Granular Computing, Beijing, China, 25–27 July 2005; IEEE: New York, NY, USA, 2005; 2:617–621.
5. Application of soft sets to diagnose the prostate cancer risk;S Yuksel;J. Inequal. Appl,2013
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