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

2020/11/24 by Florentin Smarandache, Florentín Smarandache, Smarandache, Florentin
Decision Sciences · Engineering · Mathematics · #03E72 #Advanced Mathematical Theories #FOS: Mathematics #General Mathematics (math.GM) #Multi-Criteria Decision Making #Optimization and Mathematical Programming #math.GM #msc:03E72

paper · pdf · doi:10.48550/arxiv.2012.10208

18 pages

arxiv created 2020/11/24 · openalex publication_date 2020/11/24 · arxiv updated 2020/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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• Generalized Interval-Valued Neutrosophic Set and Its Application