GENERALIZATIONS OF WEAKER FORMS OF OPEN MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND THEIR APPLICATIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads :

Volume : 22 , Issue : 1
DOI: https://doi.org/10.56827/SEAJMMS.2026.2201.17
Author :
D. Sobana (Department of Mathematics, Kandaswamy Kandar s College, P-velur, Tamil Nadu - 638182, INDIA)
P. Premalatha (Department of Mathematics, Chettinad College of Engineering and Technology, Karur, Tamil Nadu, INDIA)
A. Swaminathan (Department of Mathematics, Annamalai University, Annamalai Nagar - 608002, Tamil Nadu, INDIA)
A. Vadivel (PG and Research Department of Mathematics, Arignar Anna Govt. Arts College, Namakkal - 637002, Tamil Nadu, INDIA)

Abstract

In this paper, we study Fermatean fuzzy $Z$-open and Fermatean fuzzy $Z$-closed functions within the framework of Fermatean fuzzy topological spaces. We investigate several significant properties of these functions and examine their relationships. In addition, we present a real-life decision-making application based on an entropy measure for Fermatean fuzzy sets, illustrating their practical usefulness in real-world situations.

Keywords and Phrases

Fermatean fuzzy $ Z $-open mappings, Fermatean fuzzy $ Z $-closed mappings, entropy measure.

A.M.S. subject classification

03E72, 54A05, 54A40.

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