On Fuzzy Point Applications of Fuzzy Topological Spaces
On Fuzzy Point Applications of Fuzzy Topological Spaces
- 한국지능시스템학회
- International Journal of Fuzzy Logic and Intelligent systems
- 23(2)
-
2023.06162 - 172 (11 pages)
- 0
In this study, different kinds of fuzzy point applications in fuzzy topological spaces wereexamined. In addition, the characteristics of fuzzy β-closed sets via the contribution offuzzy points, as well as new separation axioms, were investigated. Besides, some propertiesrelated to the β-closure of such points using the notions of weak and strong fuzzy points wereexamined with illustrated examples. New ideas regarding fuzzy β-upper limit, fuzzy β-lowerlimit, and fuzzy β-limit using the idea of fuzzy points were also discussed. Lastly, the fuzzyβ-continuous convergence on the set of fuzzy β-continuous functions was characterized withthe help of the fuzzy β-upper limit.
In this study, different kinds of fuzzy point applications in fuzzy topological spaces wereexamined. In addition, the characteristics of fuzzy β-closed sets via the contribution offuzzy points, as well as new separation axioms, were investigated. Besides, some propertiesrelated to the β-closure of such points using the notions of weak and strong fuzzy points wereexamined with illustrated examples. New ideas regarding fuzzy β-upper limit, fuzzy β-lowerlimit, and fuzzy β-limit using the idea of fuzzy points were also discussed. Lastly, the fuzzyβ-continuous convergence on the set of fuzzy β-continuous functions was characterized withthe help of the fuzzy β-upper limit.
(0)
(0)