A Comparison of Stochastic and Fuzzy Orderings
There are many applications where the comparison of histograms (discrete random variables, fuzzy set on discrete universal set) is required with the help of relationship of type ”more-less”. There are many approaches to solving this problem. The relations between some popular stochastic and fuzzy orderings are investigated in the article. The simple formulas for calculating the number of comparisons obtained, as well as established relationships between the various comparisons. The new approach for comparison of histogram is proposed in this paper too. This approach is based on the calculation of minimum directional transform of one histogram in another histogram.