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The use of the generalized logical criterion for approximation of the efficiency area in multiobjective optimization problems

Abstract

The use of the generalized logical criterion for approximation of the efficiency area in multiobjective optimization problems

Ivanov I.I., Petrov P.P.

Incoming article date: 09.10.2014

The article considers one of the solutions to the problem of multi-criteria selection. Weights of the importance of the individual criteria are considered as uncontrolled factors and are calculated on the principle of guaranteed result at each point of the selection area. The method also allows taking into account the additional qualitative information about the DM preferences on the set of individual optimality criteria. Qualitative information about the preferences may be incomplete and may not provide a precise numerical estimates. The article provides analytical expressions for the automatic calculation of importance weights of taking into account individual preferences using the generalized logical criterion. The article considers the problem of approximating the area of efficiency in multiobjective optimization problems using the generalized logical criterion of optimality and makes the analysis of Pareto-efficiency area.

Keywords: decision making problem, multiobjective multicriteria optimization, qualitative additional information, guaranteed result, weighting coefficients, approximation of the Pareto-efficiency area