A. P. Nelyubin, V. V. Podinovskii, “Bilinear optimization in the analysis of multicriteria problems using criteria importance theory under inexact information about preferences”, Zh. Vychisl. Mat. Mat. Fiz., 2011, Volume 51, Number 5,Pages <nobr>802

This article is cited in 10 papers

Bilinear optimization in the analysis of multicriteria problems using criteria importance theory under inexact information about preferences

A. P. Nelyubin^a, V. V. Podinovskii^b

^a Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700 Russia
^b State University–Higher School of Economics, Laboratory DECAN, Pokrovskii bulv. 11, Moscow, 109028 Russia

Abstract: Exact efficient numerical methods are proposed for solving bilinear optimization problems that arise when various solution variants are compared based on their preferability using an additive value function in the case of interval estimates of the degrees of superiority of certain criteria over others and in the case of interval restrictions on the growth of preferences along the criteria range.

Key words: multicriteria decision making problems, criteria importance theory, additive value function, uncertainty of coefficients of criteria importance and values of scale estimates.

UDC: 519.658

Received: 29.04.2010
Revised: 21.06.2010