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Condition of Order Preservation in Pairwise Comparisons Matrix

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19520%2F18%3A00011195" target="_blank" >RIV/47813059:19520/18:00011195 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Condition of Order Preservation in Pairwise Comparisons Matrix

  • Original language description

    This paper forms both theoretical and practical innovation basis for decision making process in micro and macro economics. The decision making problem considered here is to rank n alternatives from the best to the worst, using the information given by the decision maker(s) in the form of an n×n pairwise comparisons matrix. Here, we deal with pairwise comparisons matrices with fuzzy elements. Fuzzy elements of the pairwise comparisons matrix are applied whenever the decision maker is uncertain about the value of his/her evaluation of the relative importance of elements in question. We investigate pairwise comparisons matrices with elements from abelian linearly ordered group (alo-group) over a real interval which is a generalization of traditional multiplicative or additive approaches. The concept of reciprocity and consistency of pairwise comparisons matrices with fuzzy elements is well known. Here, we extend these concepts, namely to the strict as well as strong consistency of pairwis e comparisons matrices with fuzzy elements (PCF matrices). We derive the necessary and sufficient conditions for strict/strong consistency and investigate their properties as well as some consequences to the problem of ranking the alternatives. Illustrating examples are presented and discussed.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10103 - Statistics and probability

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    International Conference on Intelligent Decision Technologies

  • ISBN

    978-3-319-59420-0

  • ISSN

  • e-ISSN

  • Number of pages

    6

  • Pages from-to

    283-292

  • Publisher name

    Springer

  • Place of publication

    Cham, Switzerland

  • Event location

    Vilamoura, Portugal

  • Event date

    Sep 12, 2018

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article