Discrete imprecise copulas

Košir, Tomaž (author), Perrone, Elisa (author)

In this paper, we study discrete quasi-copulas associated with imprecise copulas. We focus on discrete imprecise copulas that are in correspondence with the alternating sign matrices and provide some construction techniques of dual pairs. Additionally, we show how to obtain (full-domain) self-dual imprecise copulas through patchwork techniques. We further investigate the properties of the constructed dual pairs and prove that they are coherent and avoid sure loss.

• Language: English
• Keywords: imprecise copulas, discrete quasi-copulas, duality, alternating sign matrices, patchwork
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FMF - Faculty of Mathematics and Physics
• Publication status: Published
• Publication version: Version of Record
• Year: 2025
• Number of pages: 20 str.
• Numbering: Vol. 504, art. 109251
• PID: 20.500.12556/RUL-166790
• UDC: 519.2
• ISSN on article: 0165-0114
• DOI: 10.1016/j.fss.2024.109251
• COBISS.SI-ID: 223106051
• Publication date in RUL: 24.01.2025

Record is a part of a journal

• Title: Fuzzy sets and systems
• Shortened title: Fuzzy sets syst.
• Publisher: Elsevier
• ISSN: 0165-0114
• COBISS.SI-ID: 25498624

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Projects

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: P1-0448
• Name: Stohastične metode in njihova uporaba

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: N1-0217
• Name: Nekomutativna realna algebraična geometrija s sledjo