Incomplete pairwise comparison and consistency optimization

Michele Fedrizzi and Silvio Giove

No 144, Working Papers from Department of Applied Mathematics, Università Ca' Foscari Venezia

Abstract: 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.

Keywords: consistency; pairwise comparison matrices (search for similar items in EconPapers)
JEL-codes: C15 (search for similar items in EconPapers)
Pages: 20 pages
Date: 2006-11
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Citations: View citations in EconPapers (21)

Forthcoming in European Journal of Operational Research

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Journal Article: Incomplete pairwise comparison and consistency optimization (2007)
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