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Weak Consistency: A New Approach to Consistency in the Saaty's Analytic Hierarchy Process

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33146478" target="_blank" >RIV/61989592:15310/13:33146478 - isvavai.cz</a>

  • Result on the web

    <a href="http://mant.upol.cz/soubory/ActaMath/2013/52-2-07.pdf" target="_blank" >http://mant.upol.cz/soubory/ActaMath/2013/52-2-07.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Weak Consistency: A New Approach to Consistency in the Saaty's Analytic Hierarchy Process

  • Original language description

    In the decision making methods based on the pairwise comparison there is very important to enter the preferences of compared elements in the rational way. Only in this case we are able to obtain the reasonable solution. In the Analytic Hierarchy Process(AHP) there is set a strict consistency conditionin order to keep the rationality of preference intensities between compared elements. But this requirement for the Saaty's matrix is not achievable in the real situations because of the Saaty's scale whichis used in this method. That is why instead of the consistency condition we suggest a weak consistency condition which is very natural and more suitable for the linguistic d escriptions of the Saaty's scale and as a result of it, it is easier to reach this requirement in the real situations. In addition, if we order compared elements from the most preferred to the least preferred, it is very easy to check if the weak consistency is satisfied.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2013

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Acta Universitatis Palackianae Olomucensis, Facultas Rerum Naturalium, Mathematica

  • ISSN

    0231-9721

  • e-ISSN

  • Volume of the periodical

    52

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    13

  • Pages from-to

    "71?83"

  • UT code for WoS article

  • EID of the result in the Scopus database