This paper proposes a new method for calculating the missing elements of an incomplete matrix of pairwise comparison values for a decision problem. The matrix is completed by minimizing a measure of global inconsistency, thus obtaining a matrix which is optimal from the point of view of consistency with respect to the available judgements. The optimal values are obtained by solving a linear system and unicity of the solution is proved under general assumptions. Some other methods proposed in the literature are discussed and a numerical example is presented.
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Paper provided by Department of Applied Mathematics, University of Venice in its series Working Papers with number
144.
Length: 20 pages Date of creation: Nov 2006 Date of revision: Publication status: Forthcoming in European Journal of Operational Research Handle: RePEc:vnm:wpaper:144
Find related papers by JEL classification: C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods
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