Freedom in constructing quasi-copulas vs. copulas

Omladič, Matjaž (author), Stopar, Nik (author)

The main goal of this paper is to study the extent of freedom one has in constructing quasi-copulas vs. copulas. Specifically, it exhibits three construction methods for quasi-copulas based on recent developments: a representation of multivariate quasi-copulas by means of infima and suprema of copulas, an extension of a classical result on shuffles of min to the setting of quasi-copulas, and a construction method for quasi-copulas obeying a given signed mass pattern on a patch.

• Language: English
• Keywords: copulas, quasi-copulas, shuffles of min, patch, lattices
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics; FGG - Faculty of Civil and Geodetic Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: 18 str.
• Numbering: Vol. 514, art. 109399
• PID: 20.500.12556/RUL-168411
• UDC: 519.2
• ISSN on article: 0165-0114
• DOI: 10.1016/j.fss.2025.109399
• COBISS.SI-ID: 231931139
• Publication date in RUL: 11.04.2025

Record is a part of a journal

• Title: Fuzzy sets and systems : international journal of soft computing and intelligence
• Shortened title: Fuzzy sets syst.
• Publisher: Elsevier
• ISSN: 0165-0114
• COBISS.SI-ID: 25498624

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• License: CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
• Link: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Description: The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.