A new membership function approach to uncertain functions

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

A new membership function approach to uncertain functions

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

A new membership function approach to uncertain functions

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10100 - Mathematics

Projekt

<a href="/cs/project/GA15-07299S" target="_blank" >GA15-07299S: Numerické nástroje pro návrh robustních a optimalizovaných experimentů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Fuzzy Sets and Systems

ISSN

0165-0114

e-ISSN

1872-6801

Svazek periodika

387

Číslo periodika v rámci svazku

May

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

13

Strana od-do

68-80

Kód UT WoS článku

000521967100004

EID výsledku v databázi Scopus

2-s2.0-85082172412