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Response to the Comments by Larichev, Korhonen and Vargas on ‘Power Relations and Group Aggregation in the Multiplicative AHP and SMART’

✍ Scribed by F. A. LOOTSMA; J. BARZILAI


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
93 KB
Volume
6
Category
Article
ISSN
1057-9214

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✦ Synopsis


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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Power Relations and Group Aggregation in
✍ J. BARZILAI; F. A. LOOTSMA 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 178 KB

The relative power of the members in a group of decision makers can be incorporated in the Multiplicative AHP via power coefficients in the logarithmic least squares whereby we analyse the pairwise comparison matrices. When each decision maker judges every pair of alternatives under each of the crit