Neutrosophic Under Soft Generalized Continuous Functions:  Foundations and Applications in Recruitment Analysis

R.Narmada Devi; Yamini Parthiban; S.Padmapriya; Kala Raja Mohan

Authors

R.Narmada Devi Department of Mathematics,Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology, Avadi, Chennai, Tamil Nadu, India.
Yamini Parthiban Department of Mathematics,Vel Tech Rangarajan Dr.Sagunthala R&D Institute of Science and Technology, Avadi, Chennai, Tamil Nadu, India.
S.Padmapriya Department of Mathematics, Mahendra College of Engineering, Minnampalli, Salem, Tamil Nadu, India.
Kala Raja Mohan Department of Mathematics, Panimalar Engineering College, Poonamallee, Chennai, Tamil Nadu, India.

Keywords:

Neutrosophic Under Soft Set and Neutrosophic Under Soft Topological Space

Abstract

Empirical Correlation System is an important tool that expresses the linear interrelations between
two variables. Its significance lies in describing the obvious link without explicitly declaring the causality
existing between the involved sets. This new framework presents an elaborate study of basic definitions and
operations associated with Neutrosophic Under Soft Sets. Furthermore, the paper introduces a new notion: a
topological space together with the Neutrosophic Under Soft Sets(Nu
s-sets). Additionally, Neutrosophic Under
Soft Generalized Continuous Functions are introduced to extend the theoretical framework. These inclusions
are expected to enable a deeper understanding and broader applications in the mathematical environment. The
research not only establishes the foundational aspects of these concepts but also investigates several properties
and theorems related to them. This is complemented by a variety of numerical illustrations to elucidate and
enhance the understanding of the topics. To demonstrate the practical relevance of these ideas, the paper
utilizes the correlation framework to present a numerical example of this relation in application.

DOI: 10.5281/zenodo.15514459