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

Authors

  • D. Sobana Department of Mathematics, Kandaswamy Kandar's College, P-velur, Tamil Nadu - 638182, INDIA Author
  • P. Premalatha Department of Mathematics, Chettinad College of Engineering and Technology, Karur, Tamil Nadu, INDIA Author
  • A. Swaminathan Department of Mathematics, Annamalai University, Annamalai Nagar - 608002, Tamil Nadu, INDIA Author
  • A. Vadivel PG and Research Department of Mathematics, Arignar Anna Govt. Arts College, Namakkal - 637002, Tamil Nadu, INDIA Author

DOI:

https://doi.org/10.56827/SEAJMMS.2026.2201.17

Keywords:

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

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.

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Published

30-04-2026

Issue

Vol. 22 No. 1 (2026): South East Asian Journal of Mathematics and Mathematical Sciences

Section

Research Article