A statistical multi-criteria procedure with stochastic preferences Online publication date: Thu, 17-Jun-2010
by P.L. Kunsch
International Journal of Multicriteria Decision Making (IJMCDM), Vol. 1, No. 1, 2010
Abstract: This article presents a simple and robust multi-criteria procedure providing the set of compromise rankings of alternatives, for one or many decision-makers, given some preference relationships between the criteria. The procedure is derived from the properties of the set of rank, or score vectors of the alternatives. The Pearson correlation serves as a measure of distance between two such vectors. The identification of all possible compromise rank vectors is made by a Monte Carlo analysis, using random weights. The probabilities of alternatives occupying the ranks are provided. The procedure is immune against rank reversals.
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