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Inconsistency of the judgment matrix in the AHP method and the decision maker's knowledge

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  • Anna Szczypinska
  • Edward W. Piotrowski

Abstract

In this paper we propose a method for a quantitative estimation of the decision maker's knowledge in the context of the Analytic Hierarchy Process (AHP) in cases, where the judgment matrix is inconsistent. We show that the matrix of deviation from the transitivity condition corresponds to the rate matrix for transaction costs in the financial market. For the quantitative estimation of the decision maker's professionalism, we apply the Ising model and thermodynamics tools.

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  • Anna Szczypinska & Edward W. Piotrowski, 2008. "Inconsistency of the judgment matrix in the AHP method and the decision maker's knowledge," Papers 0806.4876, arXiv.org, revised Nov 2008.
    • Handle: RePEc:arx:papers:0806.4876
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    2. Lizhi Zhang & Fan Li & Bo Sun & Chenghui Zhang, 2019. "Integrated Optimization Design of Combined Cooling, Heating, and Power System Coupled with Solar and Biomass Energy," Energies, MDPI, vol. 12(4), pages 1-21, February.

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