Here we will study the unification of openness and closedness properties of functions, and give some results related to\varphi_{1,2}\psi_{1,2}-closed functions and \varphi_{1,2}\psi_{1,2}-compact sets.
📌 3 Key Takeaways
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Objective & Hypothesis:Kandil, Kerre and Nouh unified various concepts in fuzzy topological spaces by using operations.
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Key Findings & Data:By adapting their definition of an operation and some other definitions given by these authors to topological spaces, and by giving some new definitions, we have previously achieved some unifications related to continuity, compactness, filters and graphs.
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Conclusion & Impact:Here we will study the unification of openness and closedness properties of functions, and give some results related to\varphi_{1,2}\psi_{1,2}-closed functions and \varphi_{1,2}\psi_{1,2}-compact sets.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Openness · Closedness · Compactness
Abstract
Kandil, Kerre and Nouh unified various concepts in fuzzy topological spaces by using operations. By adapting their definition of an operation and some other definitions given by these authors to topological spaces, and by giving some new definitions, we have previously achieved some unifications related to continuity, compactness, filters and graphs. Here we will study the unification of openness and closedness properties of functions, and give some results related to\varphi_{1,2}\psi_{1,2}-closed functions and \varphi_{1,2}\psi_{1,2}-compact sets.
YALVAÇ, T. H. (2022). A UNIFIED THEORY OF OPENNESS AND CLOSEDNESS OF FUNCTIONS. Hacettepe Journal of Mathematics and Statistics, Cilt: 34 - Sayı: supp, 15–26. https://ajindex.com/articles/530788