On Fermatean Neutrosophic e-continuous and e-irresolute Maps

Vadivel A; Thamilarasi P; Priya S

Authors

Vadivel A PG and Research Department of Mathematics, Arignar Anna Government Arts College, Namakkal - 637 002, India
Thamilarasi P 3Department of Mathematics, M.Kumarasamy College of Engineering, Karur - 639 113.;
Priya S Department of Mathematics, Annamalai University, Annamalai Nagar - 608 002, India;

Abstract

The primary objective of this paper is to introduce and develop the concept of Fermatean neutrosophic e-continuous maps in the framework of Fermatean neutrosophic topological spaces. This new class of
mappings extends the idea of continuity by incorporating the higher expressive power of Fermatean neutrosophic
sets, which are capable of handling more complex degrees of truth, indeterminacy, and falsity than classical
fuzzy or intuitionistic fuzzy settings. In addition to defining and studying the basic formulation of Fermatean
neutrosophic e-continuity, we investigate its fundamental properties, structural behavior, and interrelations with
other existing types of continuity. Furthermore, we examine the notion of Fermatean neutrosophic e-irresolute
maps, which play an important role in the preservation of Fermatean neutrosophic topological structures under
mappings. Several characterizations and properties of these maps are provided, establishing their significance
in extending the theory of neutrosophic topology. The results presented not only generalize existing concepts
from classical and fuzzy topology but also open new avenues for applications of Fermatean neutrosophic theory
in decision-making, information systems, and uncertain data analysis.

DOI 10.5281/zenodo.17314426