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Analytic hierarchy process and weight generation for inconsistent interval comparison matrices by eigenvalue method

Citace: [] BECK, J., LUKÁŠ, L. Analytic hierarchy process and weight generation for inconsistent interval comparison matrices by eigenvalue method. In Mathematical Methods in Economics 2010. České Budějovice: University of South Bohemia, 2010. s. 36-42. ISBN: 978-80-7394-218-2
Druh: STAŤ VE SBORNÍKU
Jazyk publikace: eng
Anglický název: Analytic hierarchy process and weight generation for inconsistent interval comparison matrices by eigenvalue method
Rok vydání: 2010
Místo konání: České Budějovice
Název zdroje: University of South Bohemia
Autoři: Doc. Ing. Jiří Beck CSc. , Doc. RNDr. Ing. Ladislav Lukáš CSc.
Abstrakt EN: Paper presents a method for generation of weights used in AHP to support multiple criteria decision making. If an AHP interval comparison matrix is consistent then well-known LP method is used effectively for generation of corresponding criteria weights. However, in case of inconsistent interval comparison matrices the problem of weight generation is much more difficult. An approach based on consistency index is widely used in such case. Our procedure constructs a suitable measure of consistency as a relation between consistency index and some spectral characteristics depending on right eigenvector of comparison matrix. Numerical experiments with various interval comparison matrices are presented in detail.
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