A Critical Evaluation of the Criticisms against Neutrosophic Statistical Methods

Muhammad Aslam, Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaFollow
Abdulrahman AlAita, Department of Agricultural Economy, Faculty of Agriculture, Damascus University, Damascus, SyriaFollow
Florentin Smarandache, Mathematics, Physics, and Natural Science Division, University of New Mexico Gallup, NM, U. S. AFollow

ORCID

Muhammad Aslam: https://orcid.org/0000-0003-0644-1950

Abdulrahman AlAita: https://orcid.org/0000-0002-3089-3781

Florentin Smarandache: https://orcid.org/0000-0002-5560-5926

Article Type

Research Article

Abstract

Neutrosophic statistical analysis has gained attention for incorporating the degree of indeterminacy when analyzing imprecise and interval data under uncertainty–-an aspect often overlooked by classical statistics, fuzzy statistical analysis, and interval statistics. Recently, critical discussions have emerged regarding the use and applications of neutrosophic statistics, with some questioning its usefulness and validity. In this paper, we present a critical assessment of the existing literature, focusing on areas where misunderstandings and misinterpretations of neutrosophic statistical methods have occurred. We also examine flawed comparisons made between the results of neutrosophic statistics and interval statistics. Furthermore, substantial issues have been identified in the current simulation, both in its application and in the comparison of results. The objective of this paper is to highlight these key concerns and provide clarity for researchers working in this area, helping them to better understand the appropriate applications of neutrosophic statistical methods.

Keywords

Classical statistics, interval-statistics, simulation, neutrosophic data, interval-data

How to Cite

Aslam, Muhammad; AlAita, Abdulrahman; and Smarandache, Florentin (2025) "A Critical Evaluation of the Criticisms against Neutrosophic Statistical Methods," Neutrosophic Systems with Applications: Vol. 25: Iss. 6, Article 5.