Článek: Relation of Complete Correlation and Its Implication on Interval Operations
Další název
Autor
Števuliáková, Petra
Alijani, Zahra
Editor
Abstrakt
This paper lays the groundwork for defining division and multiplication on fuzzy intervals under complete correlation. We introduce joint possibility distributions to model dependencies between fuzzy variables with complete correlation expressed via a linear relation. We then examine its impact on interval operations and the inverse property. Our results show that fuzzy arithmetic requires more nuanced approaches than simple point-wise interval analogies.
Popis
Předmětová hesla
fuzzy systémy, matematika, informatika
Klíčová slova
fuzzy systems, mathematics, informatics
ISBN
ISSN
DOI
10.15452/978-80-7599-515-5.2026.21
Licence
CC BY 4.0
Citace
ŠTEVULIÁKOVÁ, Petra and ALIJANI, Zahra, 2026. Relation of Complete Correlation and Its Implication on Interval Operations. Online. In: STUPŇANOVÁ, Andrea; DYBA, Martin and PAVLISKA, Viktor (eds.). Proceedings of The Eighteenth International Conference on Fuzzy Set Theory and Applications. Ostrava: University of Ostrava, p. 102-105. ISBN 978-80-7599-515-5. Available at: https://doi.org/10.15452/978-80-7599-515-5.2026.21.