Subject and purpose of work: The aim of the work is to present and compare the results of selected procedures for assessing linear ordering methods. The considerations were carried out on the example of taxonomic measures of the security of cryptocurrency exchanges. Materials and methods: Publicly available data published on internet portals were used to assess the security of cryptocurrency exchanges. Composite indicators were created using the standardized sum method. The selection of the final representative was made on the basis of the similarity of rankings, the choice of the measure from the so-called efficient frontier, aggregate measure of the correctness of linear ordering methods and the PROMETHEE II method. Results: According to the values of all selected composite indicators, the Gemini exchange was the best in terms of the adopted criteria. Conclusions: Each of the analyzed procedures for selecting the final linear ordering method has its own logic, advantages and disadvantages.