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Fuzzy Decision Matrices in Case of a Discrete Underlying Fuzzy Probability Measure

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73582805" target="_blank" >RIV/61989592:15310/17:73582805 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.springer.com/us/book/9783319668260" target="_blank" >http://www.springer.com/us/book/9783319668260</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-66827-7_12" target="_blank" >10.1007/978-3-319-66827-7_12</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fuzzy Decision Matrices in Case of a Discrete Underlying Fuzzy Probability Measure

  • Original language description

    Decision matrices represent a common tool for solving decision-making problems under risk. Elements of the matrix express the outcomes if a decision-maker chooses the particular alternative and the particular state of the world occurs. We deal with the problem of extension of a decision matrix to the case of fuzzy states of the world and fuzzy outcomes of alternatives. We consider the approach based on the idea that a fuzzy decision matrix determines a collection of fuzzy rule-based systems. The aim of the paper is to study extension of this approach to the case where the states of the world are fuzzy sets on the finite universal set and the probabilities of elementary events are determined by a tuple of fuzzy probabilities. We derive the formulas for computations of the fuzzy expected values and fuzzy variances of the outcomes of alternatives, based on which the alternatives can be compared.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Advances in Fuzzy Logic and Technology 2017

  • ISBN

    978-3-319-66826-0

  • ISSN

  • e-ISSN

    neuvedeno

  • Number of pages

    9

  • Pages from-to

    129-137

  • Publisher name

    Springer

  • Place of publication

    Heidelberg

  • Event location

    Varšava

  • Event date

    Sep 11, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article