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Properties of self-similarity and fractality in processes of interactions of hadrons and nuclei at high energies are discussed. Different methods of Fractal Analysis (the Box Counting (BC), P-adic Coverage (PaC), System of the Equations of P-adic Coverage (SePaC) methods) are described. The two-step procedure for PaC and SePaC methods of fractal reconstruction is justified. The search procedure of optimal values of parameters for BC, PaC and SePaC methods is developed. Comparison of the fractal analysis methods for fractal and random data sets is performed. The two-step procedure of fractal analysis for SePaC method is shown to has advantages before other ones.

Comparison of fractal analysis methods for fractal and random data sets