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The Generalized Mixed Least Square Methods for the Estimation of Weights in AHP
Authors:XU Zeshui
Abstract:This paper proposes a class of generalized mixed least square methods(GMLSM) forthe estimation of weights in the analytic hierarchy process and studies their good properties such asinvariance under transpose, invariance under change of scale, and also gives a simple convergent iterativealgorithm and some numerical examples. The well-known eigenvector method(EM) is then compared.Theoretical analysis and the numerical results show that the iterative times of the GMLSM are generallyfewer than that of the MLSM, and the GMLSM are preferable to the EM in several important respects.
Keywords:the analytic hierarchy process(AHP)   the generalized mixed least square methods(GMLSM).judgement matrix
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