A complex method of range and its use for multicriteria comparison of alternatives

Abstract

There is description of the three-criteria ranging method intended to form a priority number of alternatives and the results of its analysis. It is noted that during developing recommendations for the decision maker, it is necessary not only to identify the most promising alternatives, but also to provide reasonable explanations of the obtained results, which requires to additional analysis of the results of the calculations. It has been proposed a new multicriteria comparison method to reduce the volume of such analysis, which involves the use of several combinations of comparison criteria. There are used three single-criteria, three two-criteria and one three-criteria comparisons. Formulas dependencies are given for this new method and it is provided a step-by-step description of the calculation procedure. The possibility of practical application of the proposed method is shown in the calculated example, for which the literature sources provide the obtained results for known multi-criteria methods. Comparison of the results of the calculations for known and new methods shows that the use of the proposed method makes it possible to increase the validity of the developed recommendations by increasing the completeness of the comparison of alternatives. It leads to the conclusion that the use of the developed complex method of ranking can be quite promising during multi-criteria optimization of complex objects.

Keywords

• additive convolution
• multi-criteria ranking
• three-criteria ranking method
• moora method
• the vikor method