CI Approach to Numerical Methods for Solving Fuzzy Integral Equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AA2302HZK" target="_blank" >RIV/61988987:17610/22:A2302HZK - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/chapter/10.1007/978-3-031-08971-8_24" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-031-08971-8_24</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-031-08971-8_24" target="_blank" >10.1007/978-3-031-08971-8_24</a>

Jazyk výsledku

angličtina

Název v původním jazyce

CI Approach to Numerical Methods for Solving Fuzzy Integral Equations

Popis výsledku v původním jazyce

The contribution is focused on what can be called a computational intelligence approach to numerical methods in fuzzy integral equations. We consider a fuzzy Fredholm integral equation of the second kind and propose a new numerical method for finding its approximate solution. The method is based on the technique called fuzzy (F-) transform, which refers to numerical methods that build a solution on a finite number of subdomains and then combine them into a final one. This approach allows us to transform the original Fredholm fuzzy integral equation into a system of algebraic equations. The solution of this algebraic system gives the corresponding parameters of the inverse F1-transform. Therefore, we can estimate the approximate solution of the original problem. We discuss two types of numerical methods based on the F0 and F1- transforms and give numerical examples of both approaches. We study the convergence and approximation quality of a sequence of approximate solutions in terms of the number of subdomains. We compare numerical approaches based on F0 and F1 transforms with similar methods of numerical analysis.

Název v anglickém jazyce

CI Approach to Numerical Methods for Solving Fuzzy Integral Equations

Popis výsledku anglicky

The contribution is focused on what can be called a computational intelligence approach to numerical methods in fuzzy integral equations. We consider a fuzzy Fredholm integral equation of the second kind and propose a new numerical method for finding its approximate solution. The method is based on the technique called fuzzy (F-) transform, which refers to numerical methods that build a solution on a finite number of subdomains and then combine them into a final one. This approach allows us to transform the original Fredholm fuzzy integral equation into a system of algebraic equations. The solution of this algebraic system gives the corresponding parameters of the inverse F1-transform. Therefore, we can estimate the approximate solution of the original problem. We discuss two types of numerical methods based on the F0 and F1- transforms and give numerical examples of both approaches. We study the convergence and approximation quality of a sequence of approximate solutions in terms of the number of subdomains. We compare numerical approaches based on F0 and F1 transforms with similar methods of numerical analysis.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centrum pro výzkum a vývoj metod umělé intelligence v automobilovém průmyslu regionu</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

Kód důvěrnosti údajů

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

Název statě ve sborníku

Information Processing and Management of Uncertainty in Knowledge-Based Systems

ISBN

978-3-031-08970-1

ISSN

—

e-ISSN

—

Počet stran výsledku

12

Strana od-do

282-293

Název nakladatele

Springer Nature Switzerland AG

Místo vydání

Switzerland

Místo konání akce

Milan, Italy

Datum konání akce

11. 7. 2022

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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