A new distance measure for trapezoidal fuzzy neutrosophic numbers based on the centroids

Abstract

Distance measure is a numerical measurement of the distance between any two objects.
The aim of this paper is to propose a new distance measure for trapezoidal fuzzy neutrosophic
numbers based on the centroids with graphical representation. In addition, the metric properties of
the proposed measure are examined in detail. A decision making problem also has been solved
using the proposed distance measure for a software selection process. comparative analysis has been
done with the existing methods to show the potential of the proposed distance measure and various
forms of trapezoidal fuzzy neutrosophic number have been listed out to show the uniqueness of the
proposed graphical representation. Further, advantages of the proposed distance measure have
been given.