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Fuzzy Probability Spaces and Their Applications in Decision Making

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F06%3A00010106" target="_blank" >RIV/61989592:15310/06:00010106 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fuzzy Probability Spaces and Their Applications in Decision Making

  • Original language description

    In this paper, two types of fuzzy probability spaces will be introduced and their applications in methods of decision making under risk (especially in the Decision Matrix Method) will be described. First, a fuzzy probability space that generalizes the classical probability space (R^n,B_n,p) to the situation of fuzzy random events will be studied. It will be applied to perform fuzzy discretization of continuous risk factors. Second, a fuzzy probability space that enables an adequate mathematical modelling of expertly set uncertain probabilities of states of the world will be defined. The presented theoretical results will be illustrated with two examples comparing stock yields.

  • 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

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2006

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Austrian Journal of Statistics

  • ISSN

    1026-597X

  • e-ISSN

  • Volume of the periodical

    35

  • Issue of the periodical within the volume

    2/3

  • Country of publishing house

    AT - AUSTRIA

  • Number of pages

    10

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database