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

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23510%2F10%3A00503852" target="_blank" >RIV/49777513:23510/10:00503852 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA402%2F09%2F1536" target="_blank" >GA402/09/1536: Computational economics - analysis and modeling of financial market processes and dynamic business control structures using CA technique</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Mathematical Methods in Economics 2010

  • ISBN

    978-80-7394-218-2

  • ISSN

  • e-ISSN

  • Number of pages

    7

  • Pages from-to

  • Publisher name

    University of South Bohemia

  • Place of publication

    České Budějovice

  • Event location

    České Budějovice

  • Event date

    Jan 1, 2010

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article