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Decomposition and composition of the properties of alternatives in multicriteria decision-making problems
Authors:A. N. Voronin
Affiliation:(1) National Aviation University, Kyiv, Ukraine
Abstract: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. Translated from Kibernetika i Sistemnyi Analiz, No. 1, pp. 117–122, January–February 2009.
Keywords:multicriteria choice of alternatives  hierarchical systems  decomposition and composition of criteria  nested scalar convolutions  decision-making
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