MCDM'09 - paper no. 15
STABILITY OF MULTICRITERIA RANKING - A COMPARISON
Agata Sielska
Abstract:
Set of weights describing decision maker's preferences plays a crucial role in construction process of multicriteria rankings, because even small changes of preferences may lead to different results. Moreover, the stability of rankings is important due to the fact that weights are only an approximation of decision maker's preferences. Most popular approaches to rankings sensitivity usually focus on the case in which no changes occur after the modification of eights or parameters. Such analysis does not give an insight into the way ranking is changed when the given weight intervals are exceeded. Spearman's rank correlation coefficient can provide information on that case, but it does not inform directly about the scales of shifts inside the ranking. Stability analysis of investment funds rankings constructed by three multicriteria outranking methods (PROMETHEE, WSA and TOPSIS) is presented. Similarity of rankings is assessed on the basis of Spearman's correlation coefficient and chosen stability definitions. Simulation includes different weight sets describing decision maker's preferences concerning such criteria as parameters of distribution of return rates, purchase and management costs and customers' convenience.
Keywords:
Multicriteria rankings, PROMETHEE method, WSA method, TOPSIS method
Reference index:
Agata Sielska, (2010), STABILITY OF MULTICRITERIA RANKING - A COMPARISON, Multiple Criteria Decision Making (5), pp. 229-246
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