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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Mathematics

ISSN

2227-7390

e-ISSN

—

Svazek periodika

9

Číslo periodika v rámci svazku

21

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

26

Strana od-do

2737

Kód UT WoS článku

000718446000001

EID výsledku v databázi Scopus

2-s2.0-85118253638