Abstract
In this ebb and flow time, the neutrosophic set is a significant theme to exhibit the uncertain data, as it shows up the presence of three disjunctive segments, and it gives a wide scope of utilization in particular fields for the analysts. Neutrosophic sets are the extension of intuitionistic fuzzy sets to concentrate on the dubious, reluctant, and equivocal figures of genuine scientific problems. Ranking of neutrosophic fuzzy numbers is a challenging task. Only a very few models have been proposed in the literature for the ranking of neutrosophic fuzzy numbers. In this paper, we have first ranked the neutrosophic trapezoidal fuzzy numbers using the Euclidean measure to frame the centroid concept. We have studied a few properties of the ranking function. The effectiveness of the proposed ranking method is shown by comparative examples. Finally, the created positioning system is utilized to make a decision in the purchase problem.
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