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Consistency versus transitivity in pair-wise comparison matrices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F13%3A%230002191" target="_blank" >RIV/47813059:19520/13:#0002191 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Consistency versus transitivity in pair-wise comparison matrices

  • Original language description

    Pair-wise comparison matrix is an efficient instrument often used in decision making analysis. Usually, a decision-maker is capable of creating pair-wise comparisons of decision elements forming a pair-wise comparison matrix. Either in multiplicative orin additive approaches there may appear some incompatibilities in the pair-wise comparison matrix - inconsistency and/or intransitivity. These properties do not have to occur simultaneously. Inconsistency and/or intransitivity in multiplicative and additive pair-wise comparisons are detected and measured by using consistency index/ratio, transitivity index/ratio, respectively. In this contribution we propose the way how to transform additive fuzzy pair-wise comparison matrix into multiplicative one forwhich the consistency index/ratio and transitivity index/ratio are defined. An example illustrating the application of the above mentioned approaches is supplemented.

  • 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%2F0405" target="_blank" >GA402/09/0405: Development of Non-standard Optimization Methods and their Applications in Economy and Management</a><br>

  • Continuities

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

Others

  • Publication year

    2013

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    31st International Conference Mathematical Methods in Economics 2013

  • ISBN

    978-80-87035-76-4

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    373-378

  • Publisher name

    VSP- College of Polytechnics Jihlava

  • Place of publication

    Jihlava

  • Event location

    Jihlava

  • Event date

    Sep 11, 2013

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article