Weight generation and construction of preferences by Monte Carlo method in AHP with inconsistent interval comparison matrices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23510%2F11%3A43899335" target="_blank" >RIV/49777513:23510/11:43899335 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Weight generation and construction of preferences by Monte Carlo method in AHP with inconsistent interval comparison matrices
Original language description
Paper presents Monte Carlo method and its numerical implementation for generation of weights and construction of preferences used in AHP to support multiple criteria decision making. 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. Using Monte Carlo method matrix samples are generated from the interval comparison matrix. The spectral-problems for such matrices are solved and the leading eigenvalues extracted. These subsequently servefor estimation of weights extremal bounds. The computer implementation is presented in detail, and numerical results discussed, too.
Czech name
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Czech description
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Project
<a href="/en/project/LC06075" target="_blank" >LC06075: Center for Research in Economic Dynamics and Econometrics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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