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Journals / TWMS Journal of Applied and Engineering Mathematics / 2026 / Volume: 16 Issue: 7

$ Z $-CONTINUOUS MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND ITS APPLICATION

P. Premalatha(Chettinad College of Engineering and Technology & Annamalai University)0009-0008-0063-4093
Swaminathan A(Govt. Arts College(A) & Annamalai University)0000-0001-5213-8456
Vadivel A(Arignar Anna Govt. Arts College & Annamalai University)0000-0001-5970-035X
Pages
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Publication Date
2026-07-04
DOI
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AI Summary & Key Takeaways

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

Furthermore, we demonstrate the practical significance of the proposed concepts by developing a real-life decision-making application based on entropy measures defined over Fermatean fuzzy sets, thereby showcasing their potential in handling uncertainty and imprecision in complex problem-solving scenarios.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we undertake a detailed study of various types of functions in Fermatean fuzzy topological spaces, namely Fermatean fuzzy $Z$-continuous, Fermatean fuzzy $Z$-irresolute, strongly Fermatean fuzzy $Z$-continuous, and perfectly Fermatean fuzzy $Z$-continuous functions.
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Key Findings & Data:We present rigorous definitions and characterizations of these functions, explore their interrelationships, and establish several fundamental properties supported by illustrative examples.
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Conclusion & Impact:Furthermore, we demonstrate the practical significance of the proposed concepts by developing a real-life decision-making application based on entropy measures defined over Fermatean fuzzy sets, thereby showcasing their potential in handling uncertainty and imprecision in complex problem-solving scenarios.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fermatean fuzzy $ Z $-continuous · Fermatean fuzzy $ Z $-irresolute · strongly Fermatean fuzzy $ Z $-continuous

Abstract

In this paper, we undertake a detailed study of various types of functions in Fermatean fuzzy topological spaces, namely Fermatean fuzzy $Z$-continuous, Fermatean fuzzy $Z$-irresolute, strongly Fermatean fuzzy $Z$-continuous, and perfectly Fermatean fuzzy $Z$-continuous functions. We present rigorous definitions and characterizations of these functions, explore their interrelationships, and establish several fundamental properties supported by illustrative examples. Furthermore, we demonstrate the practical significance of the proposed concepts by developing a real-life decision-making application based on entropy measures defined over Fermatean fuzzy sets, thereby showcasing their potential in handling uncertainty and imprecision in complex problem-solving scenarios.

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Cite This Article

Premalatha, P., A, S., A, V. (2026). $ Z $-CONTINUOUS MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND ITS APPLICATION. TWMS Journal of Applied and Engineering Mathematics, Volume: 16 Issue: 7. https://ajindex.com/articles/1604214

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