An Introduction to Neutro-Prime Topology and Decision Making Problem

Abstract

In this industrial era the innovation of industrial machines had a significant impact on industrial evaluation which minimize manpower, time consumption for product making, material wastage. Heavy usage of machines leads to the occurrence of some faults in it. Such damaged parts of each machine have been identified to overhaul which is defined as a set called neutro-prime set under its topological structure. Some related properties of such space have been proved and some are disproved with counterexamples. Also, the idea of interior and closure dealt with this space with few basic properties. This article provides a decision-making process to identify the best fit of those damages under a neutrosophic environment and the priority is given to the heavily damaged machine. We also use step by step algorithm and formulae to compute machine values. Our objective is to demonstrate that our proposed algorithm can calculate key measurements for fault diagnostic in machines as well as to provide fair and reliable forecasted outcomes.

Keywords

• neutro-prime sets; neutro-prime topological spaces; neutro-prime interior; neutroprime closure; neutro-prime absolute complement; decision making.