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INFORMATICA, 2012, Vol. 23, No. 1, 1-25
© Institute of Mathematics and Informatics,

ISSN 0868-4952

Robustness of MULTIMOORA: A Method for Multi-Objective Optimization

Willem Karel M. BRAUERS, Edmundas Kazimieras ZAVADSKAS

Faculty of Applied Economics, University of Antwerp Prinsstraat 13, B2000 Antwerpen, Belgium Institute of Internet and Intellectual Technologies, Vilnius Gediminas Technical University Sauletekio al. 11, LT-10223, Vilnius, Lithuania E-mail: willem.brauers@ua.ac.be, edmundas.zavadskas@vgtu.lt

Abstract

Multi-Objective Optimization takes care of different objectives with the objectives keeping their own units. The internal mechanical solution of a Ratio System, producing dimensionless numbers, is preferred. The ratio system creates the opportunity to use a second approach: a Reference Point Theory, which uses the ratios of the ratio system. This overall theory is called MOORA (Multi-Objective Optimization by Ratio Analysis). The results are still more convincing if a Full Multiplicative Form is added forming MULTIMOORA. The control by three different approaches forms a guaranty for a solution being as non-subjective as possible. MULTIMOORA, tested after robustness, showed positive results.

Keywords:

multi-objective optimization, robustness, ratio system, reference point method, full multiplicative form, MOORA, MULTIMOORA

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