An algorithm for pairwise comparison of alternatives in multi-criteria problems

Abstract

Difficult decisions and problems arise in almost all areas of human activities. In most tasks, the choice of the best alternatives is produced on the basis of task of numeral estimations of alternatives on the criteria of quality. The article considers the problem of multi-criteria choice with nonuniform scales of criteria. Algorithm for pairwise comparison of alternatives, based on the construction of the criteria preference matrices, containing information on the degree of superiority of one alternative over another, is offered. Transitivity of aggregated relation, built for two criteria, is proved. The results, obtained using the method of additive convolution and the proposed algorithm, are compared.