Arithmetic and Geometric Operators of Pentagonal Neutrosophic Number and its Application in Mobile Communication Service Based MCGDM Problem

Abstract

In this paper, the theory of pentagonal neutrosophic number has been studied in a disjunctive frame of reference.Moreover, the dependency and independency of the membership functions for the pentagonal neutrosophic number are also classified here. Additionally, the development of a new score function and its computation have been formulated in distinct rational perspectives. Further, weighted arithmetic averaging operator and weighted geometric averaging operator in the pentagonal neutrosophic environment are introduced here using an influx of different logical & innovative thought. Also, a multi-criteria group decision-making problem (MCGDM) in a mobile communication system is formulated in this paper as an application in the pentagonal neutrosophic arena. Lastly, the sensitivity analysis portion reflects the variation of this noble work.