Multi-Criteria Optimization Problems with Vector Heterogeneous Convolutions of Criteria

The paper presents the study of a multi-criteria decision-making problem with criterial preference orders where criteria are convolutions of convolutions. The author has investigated the cases where the equal importance subordination or strict ranking subordination on the set of vector criteria is specified. In both cases, convolutions within each of the partial vector criteria can be heterogeneous. The author has proved the equivalence of the considered problems to corresponding multi-criteria problems with homogeneous (identical) rankings within partial vector criteria.