Decomposition and composition of the properties of alternatives in multicriteria decision-making problems

It is shown that under the vector approach, the problem of making decisions by decomposing the properties of alternatives can be represented by a hierarchical system of criteria. At the lower hierarchy level, an alternative is evaluated for separate properties on the basis of a criterion vector and, at the upper level, a composition is used to evaluate the alternative as a whole. The problem is solved by the method of nested scalar convolutions of vector-valued criteria.