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Issue:A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces

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Title of paper: A variety of functions concerning intuitionistic fuzzy M-clopen sets in intuitionistic fuzzy topological spaces
Author(s):
G. Saravanakumar
Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University), Avadi, Chennai-600062, India
saravananguru2612@gmail.com
K. A. Venkatesan
Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology (Deemed to be University), Avadi, Chennai-600062, India
venkimaths1975@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 1, pages 30–39
DOI: https://doi.org/10.7546/nifs.32.1.30-39
Download:  PDF (1319  Kb, File info)
Abstract: This paper introduces a novel class of mappings: slightly intuitionistic fuzzy M-continuous functions, intuitionistic fuzzy totally M-continuous functions, and intuitionistic fuzzy M-totally continuous functions, utilizing intuitionistic fuzzy M clopen sets. We examine the topological properties and characterizations of these mappings, explore the relationships between these new sets and existing sets in intuitionistic fuzzy topological spaces, and provide examples to illustrate the concepts.
Keywords: Intuitionistic fuzzy topological spaces, Slightly intuitionistic fuzzy M continuous functions, Intuitionistic fuzzy totally M-continuous functions, Intuitionistic fuzzy M-totally continuous functions.
AMS Classification: 54A40, 54A99, 03E72, 03E99.
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