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A New Nonlinear Choquet-Like Integral With Applications in Normal Distributions Based on Monotone Measures

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603764" target="_blank" >RIV/61989592:15310/20:73603764 - isvavai.cz</a>

  • Result on the web

    <a href="https://obd.upol.cz/id_publ/333183650" target="_blank" >https://obd.upol.cz/id_publ/333183650</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1109/TFUZZ.2019.2904929" target="_blank" >10.1109/TFUZZ.2019.2904929</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    A New Nonlinear Choquet-Like Integral With Applications in Normal Distributions Based on Monotone Measures

  • Original language description

    In the theory of fuzzy measures, Choquet integral is one of the most important tools. The calculation of Choquet integral on real line is difficult for many cases such as nonmonotone functions. In this paper, by the geometric interpretation of Choquet integral, we introduce a new Choquet-like integral with a different algebraic interpretation of Choquet integral on real line. The calculation of this integral is simpler than Choquet integral on real line. Based on this integral, we introduce a general class of normal distribution on monotone measures. Finally, as an application, the real dataset obtained from the daily price of Dow Jones Industrial Average Index in period of June 2, 2008 to June 2, 2018 is analyzed.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    <a href="/en/project/GA18-06915S" target="_blank" >GA18-06915S: New approaches to aggregation operators in analysis and processing of data</a><br>

  • Continuities

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

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    IEEE TRANSACTIONS ON FUZZY SYSTEMS

  • ISSN

    1063-6706

  • e-ISSN

  • Volume of the periodical

    28

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    6

  • Pages from-to

    288-293

  • UT code for WoS article

    000526828500008

  • EID of the result in the Scopus database

    2-s2.0-85079357709