On the Issue of Comparisons with Reference Fuzzy Numbers - a Graphical Method to Guide the Choice of a Suitable Method in Managerial Decision-making

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15210%2F20%3A73601598" target="_blank" >RIV/61989592:15210/20:73601598 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989592:15410/20:73601598

Výsledek na webu

<a href="https://mme2020.mendelu.cz/wcd/w-rek-mme/mme2020_conference_proceedings_final.pdf" target="_blank" >https://mme2020.mendelu.cz/wcd/w-rek-mme/mme2020_conference_proceedings_final.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On the Issue of Comparisons with Reference Fuzzy Numbers - a Graphical Method to Guide the Choice of a Suitable Method in Managerial Decision-making

Popis výsledku v původním jazyce

This paper proposes a mathematical method for the analysis ofthe be- havior of similarity measures of fuzzy numbers in the task of comparing a fuzzy output ofa mathematical model with a reference fuzzy number. It is based on the visualisation ofthe set ofall fuzzy numbers similar with the reference fuzzy num- ber. This approach provides the user with the information concerning the whole set of objects that are considered equally similar to the reference object on the given level of similarity. This novel approach allows the used to see howcompact or diverse the set of &quot;equally similar&quot; objects is. It thus allows the user to see how reasonable it might be to rely on the given similarity measure of fuzzy numbers in the given application problem. The proposed method is intended for laymen users of fuzzy model, while providing valuable insights for the designers of these models as well. The selection of appropriate similarity measure can be benefi cial in a wide set of practical problems using models that provide fuzzy outputs, ranging from evaluation tasks through the ordering of alternatives (managerial decision-making) to fuzzy optimization.

Název v anglickém jazyce

On the Issue of Comparisons with Reference Fuzzy Numbers - a Graphical Method to Guide the Choice of a Suitable Method in Managerial Decision-making

Popis výsledku anglicky

This paper proposes a mathematical method for the analysis ofthe be- havior of similarity measures of fuzzy numbers in the task of comparing a fuzzy output ofa mathematical model with a reference fuzzy number. It is based on the visualisation ofthe set ofall fuzzy numbers similar with the reference fuzzy num- ber. This approach provides the user with the information concerning the whole set of objects that are considered equally similar to the reference object on the given level of similarity. This novel approach allows the used to see howcompact or diverse the set of &quot;equally similar&quot; objects is. It thus allows the user to see how reasonable it might be to rely on the given similarity measure of fuzzy numbers in the given application problem. The proposed method is intended for laymen users of fuzzy model, while providing valuable insights for the designers of these models as well. The selection of appropriate similarity measure can be benefi cial in a wide set of practical problems using models that provide fuzzy outputs, ranging from evaluation tasks through the ordering of alternatives (managerial decision-making) to fuzzy optimization.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 38th International Conference on Mathematical Methods in Economics

ISBN

978-80-7509-734-7

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

579-584

Název nakladatele

Mendelova univerzita v Brně

Místo vydání

Brno

Místo konání akce

Brno

Datum konání akce

9. 9. 2020

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

000668460800088