Geodesic
Consistency-driven approximation of a pairwise comparison matrix
Kybernetika, Tome 39 (2003) no. 5, p. [561].

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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.
Classification : 90B50, 90C29, 91B08
Keywords: ranking theory; pairwise comparison; distance-based methods; goal programming 
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     author = {Dopazo, Esther and Gonz\'alez-Pach\'on, Jacinto},
     title = {Consistency-driven approximation of a pairwise comparison matrix},
     journal = {Kybernetika},
     pages = {[561]},
     publisher = {mathdoc},
     volume = {39},
     number = {5},
     year = {2003},
     mrnumber = {2042341},
     zbl = {1249.91025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2003__39_5_a4/}
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Dopazo, Esther; González-Pachón, Jacinto. Consistency-driven approximation of a pairwise comparison matrix. Kybernetika, Tome 39 (2003) no. 5, p. [561]. http://geodesic.mathdoc.fr/item/KYB_2003__39_5_a4/