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Journals / Fundamentals of Contemporary Mathematical Sciences / 2025 / Volume: 6 Issue: 2

Introduction to Soft Metric Preserving Functions

Elif Güner(KOCAELİ ÜNİVERSİTESİ)0000-0002-6969-400X
Halis Aygün(KOCAELI UNIVERSITY)0000-0003-3263-3884
Pages
—
Publication Date
2025-07-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then, we show that the soft topology induced by soft metric was not preserved under SMPFs, present the stronger concept for these functions and also research the relationships of this concept with continuity.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we aim to present the notion of soft metric preserving functions (SMPFs) which allows us to transform a soft metric into another one.
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Key Findings & Data:We study some properties of SMPFs and investigate some characterizations to decide whether a soft function is soft metric preserving or not.
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Conclusion & Impact:Then, we show that the soft topology induced by soft metric was not preserved under SMPFs, present the stronger concept for these functions and also research the relationships of this concept with continuity.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Soft function · soft metric · completeness

Abstract

In this study, we aim to present the notion of soft metric preserving functions (SMPFs) which allows us to transform a soft metric into another one. We study some properties of SMPFs and investigate some characterizations to decide whether a soft function is soft metric preserving or not. Then, we show that the soft topology induced by soft metric was not preserved under SMPFs, present the stronger concept for these functions and also research the relationships of this concept with continuity.

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Cite This Article

Güner, E., Aygün, H. (2025). Introduction to Soft Metric Preserving Functions. Fundamentals of Contemporary Mathematical Sciences, Volume: 6 Issue: 2. https://doi.org/10.54974/fcmathsci.1545672

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