Division of Interactive Fuzzy Numbers Using Joint Possibility Distributions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F25%3AA2602O2K" target="_blank" >RIV/61988987:17610/25:A2602O2K - isvavai.cz</a>

Výsledek na webu

<a href="https://ipmu2024.inesc-id.pt/files/paper_1101.pdf" target="_blank" >https://ipmu2024.inesc-id.pt/files/paper_1101.pdf</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-031-74000-8_23" target="_blank" >10.1007/978-3-031-74000-8_23</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Division of Interactive Fuzzy Numbers Using Joint Possibility Distributions

Popis výsledku v původním jazyce

In this article, we introduce a method to calculate the division of two interactive fuzzy numbers. Specifically, we focus on arithmetic operations derived from completely correlated fuzzy numbers. Our study demonstrates that the proposed division yields fuzzy numbers with smaller widths compared to any other division method for fuzzy numbers, as determined by joint possibility distributions. Additionally, we characterize these operations using α-cuts, providing insights into their behavior across different levels of confidence. Furthermore, we establish connections between our proposed division method and existing techniques, such as generalized Hukuhara division and division based on Zadeh’s extension principle. Finally, we provide illustrative examples to showcase the practical implications of our proposed method.

Název v anglickém jazyce

Division of Interactive Fuzzy Numbers Using Joint Possibility Distributions

Popis výsledku anglicky

In this article, we introduce a method to calculate the division of two interactive fuzzy numbers. Specifically, we focus on arithmetic operations derived from completely correlated fuzzy numbers. Our study demonstrates that the proposed division yields fuzzy numbers with smaller widths compared to any other division method for fuzzy numbers, as determined by joint possibility distributions. Additionally, we characterize these operations using α-cuts, providing insights into their behavior across different levels of confidence. Furthermore, we establish connections between our proposed division method and existing techniques, such as generalized Hukuhara division and division based on Zadeh’s extension principle. Finally, we provide illustrative examples to showcase the practical implications of our proposed method.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/EH22_008%2F0004583" target="_blank" >EH22_008/0004583: Excelentní výzkum v oblasti digitálních technologií a wellbeingu</a><br>

Návaznosti

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

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název statě ve sborníku

Information Processing and Management of Uncertainty in Knowledge-Based Systems

ISBN

978-3-031-73999-6

ISSN

2367-3370

e-ISSN

2367-3389

Počet stran výsledku

12

Strana od-do

271-282

Název nakladatele

Springer Cham

Místo vydání

—

Místo konání akce

Lisabon, Portugal

Datum konání akce

22. 7. 2024

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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