Abstract
The model of multicriterion preferences is proposed and proved, in which preference relation is formed on the basis of interval estimates of criteria value tradeoffs; this model differs from the previous one by the fact that intervals of value tradeoff uncertainty are open. The question of obtaining such estimates is considered. Possibility of application the model to the analysis of multicriterion problems within the limits of the iteration approach is demonstrated.
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Podinovskii, V.V., Characteristics and Parameters of the Multicriterion Preference Structure, Mater. XXXIII Mezhd. Konf. “Informatsionnye tekhnologii v nauke, sotsiologii, ekonomike i biznese” (Proc. XXXIII Int. Conf. “Information Technologies in Science, Sociology, Economics, and Business”), Gurzuf, Ukraine, 2006. Prilozhenie k zhurnalu “Otkrytoe obrazovanie” (Application to the journal “Open Education”), pp. 42–43.
Podinovskii, V.V., Vvedenie v teoriyu vazhnosti kriteriev v mnogokriterial’nykh zadachakh prinyatiya reshenii. Uch. posobie dlya vuzov (Introduction to the Theory of Criteria Importance in Multicriterion Decision-making Problems. Handbook for Institutes of Higher Education), Moscow: Fizmatlit, 2007.
Varian, H., Intermediate Microeconomics: A Modern Approach, New York: Norton, 1999. Translated under the title Mikroekonomika. Promezhutochnyi uroven’. Sovremennyi podkhod. Uchebnik dlya vuzov, Moscow: YuNITI, 1997.
Ventsel’, E.S., Vvedenie v issledovanie operatsii (Introduction to the Operations Research), Moscow: Sovetskoe Radio, 1964.
Podinovskii, V.V. and Gavrilov, V.M., Optimizatsiya po posledovatel’no primenyaemym kriteriyam (Optimization over Sequentially Applicable Criteria), Moscow: Sovetskoe Radio, 1972.
Passy, U. and Levanon, Y., Analysis of Multiobjective Decision Problems by the Indifference Band Approach, JOTA, 1984, vol. 43, no. 2, pp. 205–235.
Berman, V.P. and Naumov, G.E., Preference Relation with the Interval Coefficient of Value Tradeof, Avtom. Telemekh., 1989, no. 3, pp. 139–153.
Keeny, R.L. and Raiffa, H., Decisions with Multiply Objectives: Preferences and Value Tradeoffs, New York: Wiley, 1976. Translated under the title Prinyatie reshenii pri mnogikh kriteriaykh: predpochteniya i zameshcheniya, Moscow: Radio i Svyaz’, 1981.
Men’shikova, O.R. and Podinovskii, V.V., Construction of the Preference Relation and Kernel in Multicriterion Problems with Importance-arranged Nonhomogeneous Criteria, Zh. Vychisl. Mat. Mat. Fiz., 1988, no. 5, pp. 647–659.
Podinovskii, V.V. and Nogin, V.D., Pareto-optimal’nye resheniya mnogokriterial’nykh zadach (Pareto-Optimal Solutions to Multicriterion Problems), Moscow: Nauka, 1982.
Ozernoi, V.M. and Gaft, M.G., Solution Methodology for Discrete Multiobjective Problems, in Mnogokriterial’nye zadachi prinyatiya reshenii (Multicriterion Decision-making Problems), Gvishiani, D.M. and Emel’yanov, S.V., Eds., Moscow: Mashinostroenie, 1978, pp. 14–47.
Gaft, M.G. and Podinovskii, V.V., Design of Decision Rules in Decision-making Problems, Avtom. Telemekh., 1981, no. 6, pp. 128–138.
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Original Russian Text © O.R. Men’shikova, V.V. Podinovskii, 2007, published in Avtomatika i Telemekhanika, 2007, No. 6, pp. 157–165.
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Men’shikova, O.R., Podinovskii, V.V. Preference relation with intervals of value tradeoff uncertainty. Autom Remote Control 68, 1075–1082 (2007). https://doi.org/10.1134/S0005117907060136
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DOI: https://doi.org/10.1134/S0005117907060136