On Comparison of Distorted Histograms
There are many tasks where the comparison of histograms (distributions, fuzzy numbers) is required with help of relationship of type ”more-less”. There are many approaches to solving this problem. But the histograms may be distorted. Then we have to find the conditions on the distortions under which the comparison of the two histograms is not changed. The solution of the problem is searched via three popular probabilistic methods of comparison.