Abstract
It is shown that any multicriterion problem can be represented by a hierarchical system. Individual properties of the object are evaluated at the lower level of the system, using a criterion vector; and a composition mechanism is used to evaluate the object as a whole at the upper level. The paper proposes a method to solve complex multicriterion problems of evaluation and optimization. It is based on nested scalar convolutions of vector-valued criteria and allows simple structural and parametrical synthesis of multicriterion hierarchical systems.
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I. M. Makarov, T. M. Vinogradskaya, A. A. Rubchinskii, and V. B. Sokolov, The Theory of Choice and Decision Making [in Russian], Nauka, Moscow (1982).
D. B. Yudin, Computational Methods in Decision Theory [in Russian], Nauka, Moscow (1989).
V. A. Gubanov, V. V. Zakharov, and A. N. Kovalenko, Introduction to Systems Analysis [in Russian], Izd. LGU, Leningrad (1988).
O. I. Larichev, “Problems of collective decision-making in small groups,” in: Nonlinear Dynamics and Control (To the 70th Anniversary of Acad. S. V. Yemel’yanov) [in Russian], Editorial URSS, Moscow (1999), pp. 91–103.
A. N. Voronin, “Systems analysis and multicriteria evaluation of space projects by expert methods, ” Probl. Upravl. Inform., No. 1, 121–135 (2004).
V. G. Totsenko, Decision Support Systems and Methods [in Russian], Naukova Dumka, Kyiv (2002).
T. L. Saaty, Multicriteria Decision Making: The Analytical Hierarchy Process, McGraw-Hill, New York (1990).
A. N. Voronin, “Nested scalar convolutions of a vector-valued criterion,” Probl. Upravl. Inform, No. 5, 10–21 (2003).
A. N. Voronin, “Adaptive approximation models in optimization,” Cybern. Syst. Analysis, 30, No. 5, 700–708 (1994).
A. N. Voronin, Yu. K. Ziatdinov, and A. I. Kozlov, Vector Optimization of Dynamic Systems [in Russian], Tekhnika, Kyiv (1999).
L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning, ” Information Sciences, 8, No. 3, 199–249 (Part I); 8, No. 4, 301–357 (Part II); 9, No. 1, 43–80 (Part III) (1975).
A. N. Voronin, “Vector optimization of hierarchical structures,” Probl. Upravl. Inform., No. 6, 26–34 (2004).
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Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 84–92, May–June 2007.
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Voronin, A.N. A method of multicriteria evaluation and optimization of hierarchical systems. Cybern Syst Anal 43, 384–390 (2007). https://doi.org/10.1007/s10559-007-0060-8
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DOI: https://doi.org/10.1007/s10559-007-0060-8