Abstract: It is shown, that any multicriteria problem can be represented by a hierarchical system of criteria.
Individual properties of the object (alternative) are evaluated at the bottom level of the system, using a criteria
vector; and a composition mechanism is used to evaluate the object as a whole at the top level. The problem is
solved by the method of nested scalar convolutions of vector-valued criteria. The methodology of the problem
solving is based on the complementarity principle by N. Bohr and the theorem of incompleteness by K. Gödel.
Keywords: hierarchical structure, nested scalar convolutions, multicriteria approach, decomposition; composition
A HIERARCHICAL APPROACH TO MULTICRITERIA PROBLEMS
Albert Voronin, Yuriy Ziatdinov, Igor Varlamov