Decision Making with Parametric Reduction and Graphical Representation of Neutrosophic Soft Set

The neutrosophic soft set is one of the most significant mathematical approaches for uncertainty description, and it has a multitude of practical applications in the realm of decision making.On the other hand, the decision-making process is often made more difficult and complex since these situations contain criteria that are less significant and more redundant.In neutrosophic soft setbased decision-making problems, parameter reduction is an efficient method for cutting down on redundant and superfluous factors, and it does so without damaging the decision-makers' ability to make decisions.In this work, a parametric reduction strategy has been proposed.This approach lessens the difficulties associated with decision making while maintaining the existing order of available options.Because the decision sequence is maintained while the process of reduction is streamlined, utilizing this tactic results in an experience that is both less difficult and more convenient.This article demonstrates the applicability of this method by outlining a decision-making dilemma that was taken from the actual world and providing a solution for it.This article discusses a novel method for dealing with neutrosophic soft graphs by merging graph theory with neutrosophic soft set theory.An illustration of a graphical depiction of a neutrosophic soft set is provided alongside an explanation of neutrosophic graphs and neutrosophic soft set graphs in this article.