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On PSO-based simulations of fuzzy dynamical systems induced by one-dimensional ones

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA22027AV" target="_blank" >RIV/61988987:17610/21:A22027AV - isvavai.cz</a>

  • Result on the web

    <a href="https://www.mdpi.com/2227-7390/9/21/2737" target="_blank" >https://www.mdpi.com/2227-7390/9/21/2737</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3390/math9212737" target="_blank" >10.3390/math9212737</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On PSO-based simulations of fuzzy dynamical systems induced by one-dimensional ones

  • Original language description

    Zadeh’s extension plays an important role in the fuzzy set theory and, among other things, it provides a natural extension of a real-valued continuous map to a map having fuzzy sets as its arguments. The purpose of this paper is to introduce a new algorithm which can be used for simulations of fuzzy dynamical systems induced by interval maps. The core of the proposed algorithm is based on calculations with piecewise linear maps and, consequently, an implementation of an optimization algorithm (in our case, particle swarm optimization) was prepared to obtain necessary piecewise linear approximations. For all parts of this algorithm we provide a detailed testing and numerous examples.

  • 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

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Mathematics

  • ISSN

    2227-7390

  • e-ISSN

  • Volume of the periodical

    9

  • Issue of the periodical within the volume

    21

  • Country of publishing house

    CH - SWITZERLAND

  • Number of pages

    26

  • Pages from-to

    2737

  • UT code for WoS article

    000718446000001

  • EID of the result in the Scopus database

    2-s2.0-85118253638