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

P. Premalatha; Swaminathan A; Vadivel A

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

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.

Keywords

Thanks

We would like to express our sincere gratitude to all those who contributed to the completion and submission of this paper. We are especially thankful to Dr. A. Swaminathan, supervisor, whose guidance and insightful feedback greatly enriched the quality of this work.

References

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Details

Primary Language

English

Subjects

Mathematical Logic, Set Theory, Lattices and Universal Algebra, Topology

Journal Section

Research Article

Authors

P. Premalatha This is me
0009-0008-0063-4093
India

Swaminathan A
0000-0001-5213-8456
India

Vadivel A ^*
0000-0001-5970-035X
India

Publication Date

July 4, 2026

Submission Date

May 6, 2025

Acceptance Date

August 19, 2025

Published in Issue

Year 2026 Volume: 16 Number: 7

IZ

https://izlik.org/JA37HU48CN

Cite

RIS / Bibtex

APA

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, 16(7), 919-936. https://izlik.org/JA37HU48CN

AMA

1.Premalatha P, A S, A V. $ Z $-CONTINUOUS MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND ITS APPLICATION. JAEM. 2026;16(7):919-936. https://izlik.org/JA37HU48CN

Chicago

Premalatha, P., Swaminathan A, and Vadivel A. 2026. “$ Z $-CONTINUOUS MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND ITS APPLICATION”. TWMS Journal of Applied and Engineering Mathematics 16 (7): 919-36. https://izlik.org/JA37HU48CN.

EndNote

Premalatha P, A S, A V (July 1, 2026) $ Z $-CONTINUOUS MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND ITS APPLICATION. TWMS Journal of Applied and Engineering Mathematics 16 7 919–936.

IEEE

[1]P. Premalatha, S. A, and V. A, “$ Z $-CONTINUOUS MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND ITS APPLICATION”, JAEM, vol. 16, no. 7, pp. 919–936, July 2026, [Online]. Available: https://izlik.org/JA37HU48CN

ISNAD

Premalatha, P. - A, Swaminathan - A, Vadivel. “$ Z $-CONTINUOUS MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND ITS APPLICATION”. TWMS Journal of Applied and Engineering Mathematics 16/7 (July 1, 2026): 919-936. https://izlik.org/JA37HU48CN.

JAMA

1.Premalatha P, A S, A V. $ Z $-CONTINUOUS MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND ITS APPLICATION. JAEM. 2026;16:919–936.

MLA

Premalatha, P., et al. “$ Z $-CONTINUOUS MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND ITS APPLICATION”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 7, July 2026, pp. 919-36, https://izlik.org/JA37HU48CN.

Vancouver

1.P. Premalatha, Swaminathan A, Vadivel A. $ Z $-CONTINUOUS MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND ITS APPLICATION. JAEM [Internet]. 2026 Jul. 1;16(7):919-36. Available from: https://izlik.org/JA37HU48CN