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Consistency-driven approximation of a pairwise comparison matrix
Kybernetika, Tome 39 (2003) no. 5, pp. 561-568 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The pairwise comparison method is an interesting technique for building a global ranking from binary comparisons. In fact, some web search engines use this method to quantify the importance of a set of web sites. The purpose of this paper is to search a set of priority weights from the preference information contained in a general pairwise comparison matrix; i.e., a matrix without consistency and reciprocity properties. For this purpose, we consider an approximation methodology within a distance-based framework. In this context, Goal Programming is introduced as a flexible tool for computing priority weights.
The pairwise comparison method is an interesting technique for building a global ranking from binary comparisons. In fact, some web search engines use this method to quantify the importance of a set of web sites. The purpose of this paper is to search a set of priority weights from the preference information contained in a general pairwise comparison matrix; i.e., a matrix without consistency and reciprocity properties. For this purpose, we consider an approximation methodology within a distance-based framework. In this context, Goal Programming is introduced as a flexible tool for computing priority weights.
Classification : 90B50, 90C29, 91B08
Keywords: ranking theory; pairwise comparison; distance-based methods; goal programming 
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Dopazo, Esther; González-Pachón, Jacinto. Consistency-driven approximation of a pairwise comparison matrix. Kybernetika, Tome 39 (2003) no. 5, pp. 561-568. http://geodesic.mathdoc.fr/item/KYB_2003_39_5_a4/

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