Evaluating the Consistency of Neutrosophic Data Using Various Statistical Distributions: Comparative Studies and Applications

In this paper, we primarily have given neutrosophic coefficient of variation, robust neutrosophic coefficient of variation concern to interquartile range, and robust neutrosophic coefficient of variation concern to median absolute deviation. Following the introduction, we have explored the methods of neutrosophic coefficient of variation, which is an effective method for modeling data that is fuzzy, imprecise, and uncertain. For the comparative study, we have given numerical studies based on neutrosophic distributions including discrete and continuous distributions. First, we have compared all three neutrosophic coefficient of variations and then have given the comparative study for all neutrosophic distributions for these neutrosophic coefficient of variations. Also, we have given real data analysis on climate data to highlight the impact of the neutrosophic coefficient of variations. We found that neutrosophic coefficient of variations NCV and based on IQR have near about similar values while the neutrosophic coefficient of variation based on MAD has higher values than other two for all samples and distributions. Further, we observe that with increasing the sample values all three neutrosophic coefficients of variations also increase for all the distributions and provide a general framework over classical methods of coefficient of variations, and the graphical representations also clarify this.