We are pleased to continue the open discussion in this journal and we hope that it will contribute to the clarification of the main issues. Aggregation by geometric means has been accepted as a technically sound procedure. The critical comments now seem to concentrate on the establishment of the Multiplicative AHP, the publication of a method for weighted voting before empirical verification, and the significance of negotiations in decision making. Several numerical examples illustrate the arithmetic-mean and geometric-mean calculations, and the legitimacy of rank reversal is revisited. We discuss the issues in the same order here.
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Lootsma et al. (1997) studied this question.
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