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**Deriving weights from pairwise comparison matrices: The additive case.**
*(English)*
Zbl 0711.90007

Summary: The foundations are laid for an additive version of the Analytic Hierarchy Process by constructing a framework for the study of multiplicative and additive pairwise comparison matrices and the relations between them. In particular, it will be proved that the only solution satisfying consistency axioms for the problem of retrieving weights from inconsistent additive judgements matrices is the arithmetic mean.

### Keywords:

geometric means; arithmetic mean; Analytic Hierarchy Process; multiplicative and additive pairwise comparison matrices
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\textit{J. Barzilai} and \textit{B. Golany}, Oper. Res. Lett. 9, No. 6, 407--410 (1990; Zbl 0711.90007)

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### References:

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