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Decision and policy-makers in multi-criteria decision-making analysis takeinto account some strategies in order to analyze outcomes and to finally makean effective and more precise decision. Among those strategies, themodification of the normalization process in the multiple-criteriadecision-making algorithm is still a question due to the confrontation of manynormalization tools. Normalization is the basic action in defining and solvinga MADM problem and a MADM model. Normalization is the first, also necessary,step in solving, i.e. the application of a MADM method. It is a fact that theselection of normalization methods has a direct effect on the results. One ofthe latest normalization methods introduced is the Logarithmic Normalization(LN) method. This new method has a distinguished advantage, reflecting in thata sum of the normalized values of criteria always equals 1. This normalizationmethod had never been applied in any MADM methods before. This research studyis focused on the analysis of the classical MADM methods based on logarithmicnormalization. VIKOR and TOPSIS, as the two famous MADM methods, were selectedfor this reanalysis research study. Two numerical examples were checked in bothmethods, based on both the classical and the novel ways based on the LN. Theresults indicate that there are differences between the two approaches.Eventually, a sensitivity analysis is also designed to illustrate thereliability of the final results.

A VIKOR and TOPSIS focused reanalysis of the MADM methods based on logarithmic normalization