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RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 22, Issue 1 Article
Research Article

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

D
D. Sobana Department of Mathematics, Kandaswamy Kandar s College, P-velur, Tamil Nadu - 638182, INDIA
P
P. Premalatha Department of Mathematics, Chettinad College of Engineering and Technology, Karur, Tamil Nadu, INDIA
A
A. Swaminathan Department of Mathematics, Annamalai University, Annamalai Nagar - 608002, Tamil Nadu, INDIA
A
A. Vadivel PG and Research Department of Mathematics, Arignar Anna Govt. Arts College, Namakkal - 637002, Tamil Nadu, INDIA
Volume 22, Issue 1 Pages 249-270 April 30, 2026 7 downloads
Article overview

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 mappingsFermatean fuzzy $ Z $-closed mappingsentropy measure.

AMS Subject Classification

03E72, 54A05, 54A40.

Reference information

How to Cite

D. Sobana, P. Premalatha, A. Swaminathan, A. Vadivel (2026). GENERALIZATIONS OF WEAKER FORMS OF OPEN MAPS IN FERMATEAN FUZZY TOPOLOGICAL SPACES AND THEIR APPLICATIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 22(1), 249-270.
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