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

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