Heptagonal Neutrosophic Quotient Mappings

Subasree R; BasariKodi K; Saeid Jafari; Subramanian K

Authors

Subasree R Department of Mathematics, Ramco Institute of Technology, Rajapalayam, India
BasariKodi K Department of Mathematics, Ramco Institute of Technology, Rajapalayam, India
Saeid Jafari Mathematical and Physical Science Foundation, 4200 Slagelse, Denmark
Subramanian K Department of Mathematics, Ramco Institute of Technology, Rajapalayam, India

Keywords:

Heptagonal neutrosophic number, HN-irresolute map, HN-open map, HN-quotient map, HN strongly quotient map, HN*-quotient map

Abstract

In 2023, [6] Kungumaraj et al. presented the Heptagonal Neurosophic Number and Heptagonal Neurosophic Topology. Heptagonal neutrosophic numbers are essential because they provide a powerful tool for representing and managing uncertainty in decision-making processes across various domains, offering a more nuanced and versatile approach compared to traditional fuzzy or intuitionistic fuzzy sets. Heptagonal neutrosophic methods differ from other neutrosophic methods primarily in the number of parameters they consider and their applications. Heptagonal neutrosophic numbers consider seven parameters, namely truth, falsity, indeterminacy, neutral, anti-neutral, extra-neutral, and pseudo-neutrality. By de-neutrosophication technique, heptagonal neutrosophic numbers transformed into a crisp neutrosophic values for better outcomes.

The major goal of this research is to investigate the concepts of Heptagonal Neutrosophic (HN) quotient mappings as well as Heptagonal neutrosophic strongly quotient maps and HN*-quotient maps in Heptagonal neutrosophic topological spaces. We provide examples of the fundamental concepts and subsequently we also proved their characterizations.