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Kybernetika 39(5):561-568, 2003.

Consistency-driven Approximation of a Pairwise Comparison Matrix.

Esther Dopazo and Jacinto González-Pachón


Abstract:

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.


Keywords: ranking theory; pairwise comparison; distance-based methods; goal programming;


AMS: 91B08; 90B50; 90C29;


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BIB TeX

@article{kyb:2003:5:561-568,

author = {Dopazo, Esther and Gonz\'{a}lez-Pach\'{o}n, Jacinto},

title = {Consistency-driven Approximation of a Pairwise Comparison Matrix.},

journal = {Kybernetika},

volume = {39},

year = {2003},

number = {5},

pages = {561-568}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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