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Isomorphisms Between Fuzzy Pairwise Comparison Matrices

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F14%3AA1501C9A" target="_blank" >RIV/61988987:17610/14:A1501C9A - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Isomorphisms Between Fuzzy Pairwise Comparison Matrices

  • Original language description

    This paper deals with pairwise comparison matrices. In comparison with pairwise comparison matrices with crisp elements investigated in the literature, here we investigate also pairwise comparison matrices with fuzzy elements of Abelian linearly orderedgroup (Alo-group) over a real interval. We generalize the concept of reciprocity and consistency of crisp pairwise comparison matrices to matrices with triangular fuzzy numbers (PCFN matrices). We also define the concept of priority vector which is a generalization of the crisp concept. Doing this we unify several approaches known from the literature. Finally, we show that the properties of reciprocity and consistency of PCFN matrices are saved by special transformations based on fuzzy extensions of isomorphisms between two Alo-groups.

  • Czech name

  • Czech description

Classification

  • Type

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

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>

  • Continuities

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

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Fuzzy optimization and decision making

  • ISSN

    1573-2908

  • e-ISSN

  • Volume of the periodical

    14

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    11

  • Pages from-to

    1-11

  • UT code for WoS article

  • EID of the result in the Scopus database