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Parametric importance of criteria and intervals of value tradeoff uncertainty in the analysis of multicriteria problems

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Abstract

Multicriteria decision-making problems under bounded (above, below, or from both sides) continuous or discrete criteria are considered. Methods for comparing variants of solutions using the information accumulated in the form of interval estimates of replacing the values of some criteria by the values of others (such replacements are called tradeoffs; in other words, this can be considered as a compensation of the deterioration of some criteria by improving the values of others) are proposed along with simple consistency conditions of such information. The issue of constructing the set of nondominated variants is discussed.

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  1. Faculty of Economics, State University—Higher School of Economics, Pokrovskii bulv. 11, Moscow, 109028, Russia

    V. V. Podinovski

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Original Russian Text © V.V. Podinovski, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 11, pp. 1979–1998.

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Podinovski, V.V. Parametric importance of criteria and intervals of value tradeoff uncertainty in the analysis of multicriteria problems. Comput. Math. and Math. Phys. 48, 1981–1998 (2008). https://doi.org/10.1134/S0965542508110079

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