Article:
Relation of Complete Correlation and Its Implication on Interval Operations

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dc.audienceResearchersen
dc.contributor.authorŠtevuliáková, Petra
dc.contributor.authorAlijani, Zahra
dc.date.accessioned2026-02-06T12:13:55Z
dc.date.available2026-02-06T12:13:55Z
dc.date.issued2026
dc.description.abstractThis 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.en
dc.description.sponsorshipThe contribution has been funded from the project ”Research of Excellence on Digital Technologies and Wellbeing CZ.02.01.01/00/22 008/0004583”, which is co-financed by the European Union.
dc.identifier.citationŠTEVULIÁKOVÁ, 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.en
dc.identifier.doi10.15452/978-80-7599-515-5.2026.21
dc.identifier.urihttps://eduo.osu.cz/handle/1/244
dc.language.isoen
dc.rights.licenseCC BY 4.0
dc.subjectfuzzy systemsen
dc.subjectmathematicsen
dc.subjectinformaticsen
dc.subject.czenasfuzzy systémycz
dc.subject.czenasmatematikacz
dc.subject.czenasinformatikacz
dc.subject.konspekt519.1/.8 - Kombinatorika. Teorie grafů. Matematická statistika. Operační výzkum. Matematické modelovánícz
dc.titleRelation of Complete Correlation and Its Implication on Interval Operationsen
dc.typeinfo:eu-repo/semantics/conferencePaper
dcterms.eventThe Eighteenth International Conference on Fuzzy Set Theory and Applications, Liptovský Ján, January 25 – 30, 2026
dspace.entity.typeArticle
oaire.resourceTypeconference paper
oaire.versioninfo:eu-repo/semantics/publishedVersion
relation.isPublicationOfArticle6afab15b-8c40-42f9-a7ec-39737fc00100
relation.isPublicationOfArticle.latestForDiscovery6afab15b-8c40-42f9-a7ec-39737fc00100
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