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