Comparison of similarity measures for generalized trapezoidal fuzzy numbers

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15210%2F19%3A73598319" target="_blank" >RIV/61989592:15210/19:73598319 - isvavai.cz</a>

Výsledek na webu

<a href="https://mme2019.ef.jcu.cz/files/conference_proceedings.pdf" target="_blank" >https://mme2019.ef.jcu.cz/files/conference_proceedings.pdf</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Comparison of similarity measures for generalized trapezoidal fuzzy numbers

Popis výsledku v původním jazyce

In the last ten years, several new similarity measures for generalized trapezoidal fuzzy numbers were proposed in the literature. These similarity measures differ in the combination of properties of fuzzy numbers that are taken into consideration (e.g. center of gravity, height, area, perimeter, distance of significant values, etc. of the compared fuzzy numbers). The performance of these similarity measures was, so far, investigated only on several specifically chosen examples. A thorough comparison of the performance of these different similarity measures is still not available in the literature. This paper investigates the relationships between the new similarity measures using a numerical experiment. The effect of the different heights of the compared generalized fuzzy numbers is also considered. As such, the paper provides first insights into the shared features of the similarity measures.

Název v anglickém jazyce

Comparison of similarity measures for generalized trapezoidal fuzzy numbers

Popis výsledku anglicky

In the last ten years, several new similarity measures for generalized trapezoidal fuzzy numbers were proposed in the literature. These similarity measures differ in the combination of properties of fuzzy numbers that are taken into consideration (e.g. center of gravity, height, area, perimeter, distance of significant values, etc. of the compared fuzzy numbers). The performance of these similarity measures was, so far, investigated only on several specifically chosen examples. A thorough comparison of the performance of these different similarity measures is still not available in the literature. This paper investigates the relationships between the new similarity measures using a numerical experiment. The effect of the different heights of the compared generalized fuzzy numbers is also considered. As such, the paper provides first insights into the shared features of the similarity measures.

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

2019

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 37th International Conference on Mathematical Methods in Economics

ISBN

978-80-7394-760-6

ISSN

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e-ISSN

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Počet stran výsledku

5

Strana od-do

482-486

Název nakladatele

Jihočeská univerzita

Místo vydání

České Budějovice

Místo konání akce

České Budějovice

Datum konání akce

11. 9. 2019

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

000507570400080