CI Approach to Numerical Methods for Solving Fuzzy Integral Equations

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
CI Approach to Numerical Methods for Solving Fuzzy Integral Equations
Original language description
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.
Czech name
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Czech description
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Project
<a href="/en/project/EF17_049%2F0008414" target="_blank" >EF17_049/0008414: Centre for the development of Artificial Intelligence Methods for the Automotive Industry of the region</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Information Processing and Management of Uncertainty in Knowledge-Based Systems
ISBN
978-3-031-08970-1
ISSN
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e-ISSN
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Number of pages
12
Pages from-to
282-293
Publisher name
Springer Nature Switzerland AG
Place of publication
Switzerland
Event location
Milan, Italy
Event date
Jul 11, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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