Possibilistic median of a fuzzy number

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15210%2F21%3A73609063" target="_blank" >RIV/61989592:15210/21:73609063 - isvavai.cz</a>

Výsledek na webu

<a href="https://mme2021.v2.czu.cz/en/r-16791-news-mme-2021/proceedings-of-the-39-th-international-conference-on-mme-202.html" target="_blank" >https://mme2021.v2.czu.cz/en/r-16791-news-mme-2021/proceedings-of-the-39-th-international-conference-on-mme-202.html</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Possibilistic median of a fuzzy number

Popis výsledku v původním jazyce

Fuzzy sets, fuzzy numbers and other entities of fuzzy set theory have become a frequently used part of many economic models including predictive, decision-support and control ones. In many applications the need for the representation of a fuzzy number by a single characteristic may arise. Many analogies of the moments of random variables have been introduced as a direct analogy to the formulas used in probability theory, such as the center of gravity, variance of a fuzzy number, etc. For most of these characteristics the fully possibilistic counterpart has also been proposed. But not for all. This paper introduces the formulation of a fully possibilistic median. We apply the LSC transformation introduced by Luukka, Stoklasa and Collan in 2019 to the fuzzy number median formulation proposed by Bodjanova in 2005 and derive the fully possibilistic counterpart of the median of a fuzzy number, present the necessary formulas and discuss its possible use in economic and business applications.

Název v anglickém jazyce

Possibilistic median of a fuzzy number

Popis výsledku anglicky

Fuzzy sets, fuzzy numbers and other entities of fuzzy set theory have become a frequently used part of many economic models including predictive, decision-support and control ones. In many applications the need for the representation of a fuzzy number by a single characteristic may arise. Many analogies of the moments of random variables have been introduced as a direct analogy to the formulas used in probability theory, such as the center of gravity, variance of a fuzzy number, etc. For most of these characteristics the fully possibilistic counterpart has also been proposed. But not for all. This paper introduces the formulation of a fully possibilistic median. We apply the LSC transformation introduced by Luukka, Stoklasa and Collan in 2019 to the fuzzy number median formulation proposed by Bodjanova in 2005 and derive the fully possibilistic counterpart of the median of a fuzzy number, present the necessary formulas and discuss its possible use in economic and business applications.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

50204 - Business and management

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 39th International Conference on Mathematical Methods in Economics

ISBN

978-80-213-3126-6

ISSN

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e-ISSN

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Počet stran výsledku

6

Strana od-do

458-463

Název nakladatele

Česká zemědělská univerzita

Místo vydání

Praha

Místo konání akce

Praha

Datum konání akce

8. 9. 2021

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

000936369700076