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Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 3

FUZZY SOFT TOPOLOGY

Banu Pazar VAROL
Halis AYGÜN
Pages
407–419
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Finally, the initial fuzzy soft topology and some properties of projection mappings are studied.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper we introduce the topological structure of fuzzy soft sets and fuzzy soft continuity of fuzzy soft mappings.
📊
Key Findings & Data:We show that a fuzzy soft topological space gives a parametrized family of fuzzy topological spaces.
💡
Conclusion & Impact:Finally, the initial fuzzy soft topology and some properties of projection mappings are studied.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fuzzy soft sets · Fuzzy soft topology · Fuzzy soft continuity

Abstract

In the present paper we introduce the topological structure of fuzzy soft sets and fuzzy soft continuity of fuzzy soft mappings. We show that a fuzzy soft topological space gives a parametrized family of fuzzy topological spaces. Furthermore, with the help of an example it is shown that the constant mapping is not continuous in general. Then the notions of fuzzy soft closure and interior are introduced and their basic properties are investigated. Finally, the initial fuzzy soft topology and some properties of projection mappings are studied.

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Cite This Article

VAROL, B. P., AYGÜN, H. (2022). FUZZY SOFT TOPOLOGY. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 3, 407–419. https://ajindex.com/articles/530503

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