A new membership function approach to uncertain functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F20%3A00333830" target="_blank" >RIV/68407700:21110/20:00333830 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.fss.2019.04.013" target="_blank" >https://doi.org/10.1016/j.fss.2019.04.013</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.fss.2019.04.013" target="_blank" >10.1016/j.fss.2019.04.013</a>

Result language
angličtina
Original language name
A new membership function approach to uncertain functions
Original language description
A fuzzy set approach to uncertain functions is in the focus of this paper. The uncertainty in functions entering a model, a differential equation, for instance, is represented by α-dependent sets of crisp functions, that is, α-cuts determined by an integral membership functional that is defined by means of a continuous auxiliary function whose design depends on the information the analyst has about the uncertainty. A scalar quantity of interest evaluating the model output is assumed and its membership function is inferred from the Zadeh extension principle by solving α-dependent worst- and best-case scenario problems. Two types of auxiliary functions are considered and their algorithmic advantages and disadvantages are discussed.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10100 - Mathematics

Project
<a href="/en/project/GA15-07299S" target="_blank" >GA15-07299S: Numerical tools for model-based design of robust and optimised experiments</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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