Abstract
In this paper we consider some methodological aspects of multicriteria programming, i.e. theory and methods of solving multicriteria problems with the help of computer. Special attention is paid to the problem of adequacy of real DM preference systems modelling. After a short introduction I am going to formulate certain conception and methodological principles that form the approximational approach to DM preferences modelling, then some relevant theoretical results and approximational models will be presented. Afterwards, a number of applications and experiments will be described, which have enabled the estimation of the efficiency of these methods and the approach itself.
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References
Arrow, K. J. (1959). Rational choice functions and orderings. Econometrica, 26 (102), pp. 121–127.
Berezovsky, B. A., Borzenko, V. I., and Kempner, L. M. (1981). Binary relations in multicriteria optimization. Nauka, Moscow (in Russian).
Borzenko, V. I., Trakhtengerts, E. A., and Shershakov, V. M. (1985). Approximational multicriteria scheduling in computer systems. IFIP Conf. on Syst. Modelling and Optimization, 12th, Budapest, September 1985, Abstr. 1, pp. 59–60.
Borzenko, V. I., Trakhtengerts, E. A., and Shershakov, V. M. (1986). Approximational multicriteria scheduling in computer systems. Avtomatika i telemekhanika, No 9, pp. 152–162.
Borzenko, V. I., Guft, M. G., and Sergeev, V. I. (1987). An interactive method for multicriteria evaluation of the technical level of industrial production. Doklady Akad. Nauk, 295 (3), pp. 549–553.
Borzenko, V. I., Golubenkov, A. A., Trakhtengerts, E. A., and Shershakov V. M. (1988). A multicriteria approach to the problem of distributed data storage. Avtom. i telem., No 2.
Iserman, M. A. and Malishevsky A. V. (1982). General choice theory: some aspects. Avtom. i telem., No 2.
Plott, C. R. (1976). Axiomatic social choice theory: an overview and interpretations. American Journal of Political Science, vol. 20.
Sen, A. K. (1977). Social Choice Theory: A Re-Examination. Econometrica, 45 (1), pp. 53–90.
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© 1989 Springer-Verlag Berlin Heidelberg
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Borzenko, V. (1989). Approximational Approach to Multicriteria Problems. In: Lewandowski, A., Stanchev, I. (eds) Methodology and Software for Interactive Decision Support. Lecture Notes in Economics and Mathematical Systems, vol 337. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22160-0_1
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DOI: https://doi.org/10.1007/978-3-662-22160-0_1
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