Division of Interactive Fuzzy Numbers Using Joint Possibility Distributions
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Division of Interactive Fuzzy Numbers Using Joint Possibility Distributions
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/EH22_008%2F0004583" target="_blank" >EH22_008/0004583: Research of Excellence on Digital Technologies and Wellbeing</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Information Processing and Management of Uncertainty in Knowledge-Based Systems
ISBN
978-3-031-73999-6
ISSN
2367-3370
e-ISSN
2367-3389
Number of pages
12
Pages from-to
271-282
Publisher name
Springer Cham
Place of publication
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Event location
Lisabon, Portugal
Event date
Jul 22, 2024
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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