Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 183, Issue 1, Pages 303-313Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.ejor.2006.09.065
Keywords
consistency; pairwise comparison matrices; incomplete preference relation
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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. (c) 2006 Elsevier B.V. All rights reserved.
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