Title: Some problems of evaluating multicriteria decision methods

Authors: Romualdas Ginevicius, Valentinas Podvezko

Addresses: Department of Enterprise Economics and Business Management, Vilnius Gediminas Technical University, Sauletekio al. 11, Vilnius–40 LT-10223, Lithuania. ' Department of Mathematical Statistics, Sauletekio al. 11, Vilnius–40 LT-10223, Lithuania

Abstract: This paper considers the constraints imposed on the values of particular criteria used in calculations by multicriteria methods of evaluating the alternatives in decision making. Simple but effective methods including sum of ranks and geometrical mean of the criterion value are analysed. The transformation and normalisation of non-positive data, their dependence on shift constants as well as stability of the transformed data are considered. The comparative analysis of the simplest multicriteria method – Simple Additive Weighting (SAW) and more sophisticated techniques is performed. The calculations made by applying simple and complex (TOPSIS, VIKOR) methods have shown good agreement of the results obtained.

Keywords: multicriteria decision making; MCDM; data normalisation; evaluation criteria; alternatives evaluation.

DOI: 10.1504/IJMDM.2007.013415

International Journal of Management and Decision Making, 2007 Vol.8 No.5/6, pp.527 - 539

Available online: 27 Apr 2007 *

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