The Score, Accuracy, and Certainty Functions determine a Total Order on the Set of Neutrosophic Triplets (T, I, F)

Abstract

In this paper we prove that the Single-Valued (and respectively Interval-Valued, as well as Subset-Valued) Score, Accuracy, and Certainty Functions determine a total order on the set of neutrosophic triplets (T, I, F). This total order is needed in the neutrosophic decision-making applications.

Keywords

• single-valued neutrosophic triplet numbers
• single-valued neutrosophic score function
• single-valued neutrosophic accuracy function
• single-valued neutrosophic certainty function