Heptagonal Neutrosophic Quotient Mappings

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.