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Record type:	stať ve sborníku (D)
Home Department:	Ústav pro výzkum a aplikace fuzzy modelování (94410)
Title:	Relation of Complete Correlation and Its Implication on Interval Operations
Citace	Števuliáková, P. a Alijani, Z. Relation of Complete Correlation and Its Implication on Interval Operations. In: The Eighteenth International Conference on Fuzzy Set Theory and Applications: Book of abstracts of the FSTA 2026 Conference 2026-01-25 Liptovský Ján.

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Publication year:	2026
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Proceedings title:	Book of abstracts of the FSTA 2026 Conference
Proceedings:	Mezinárodní
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Country of Publication:	Sborník vydaný v zahraničí
Název konference:	The Eighteenth International Conference on Fuzzy Set Theory and Applications
Conference venue:	Liptovský Ján
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Typ akce podle státní příslušnosti účastníků:	Celosvětová akce
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Key words in English:	Complete correlation; Interactive division; Interactive multiplication
Annotation in original language:	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.
Annotation in english language:	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.

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