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

• Published in: Neutrosophic sets and systems Vol. 35; pp. 478 - 502
• Main Authors: Said, Broumi, Lathamaheswari, Malayalan, Tan, Ruipu, Nagarajan, Deivanayagampillai, Mohamed, Talea, Smarandache, Florentin, Bakali, Assia
• Format: Journal Article
• Language: English
• Published: Neutrosophic Sets and Systems 01.09.2020; University of New Mexico
• Subjects: Comparative analysis; Decision making; Measurement; Statistics; trapezoidal fuzzy neutrosophic numbers; centroids; distance measure
• ISSN: 2331-6055; 2331-608X
• DOI: 10.5281/zenodo.3951706

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. Keywords: trapezoidal fuzzy neutrosophic numbers; centroids; distance measure