Abstract
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.
| Original language | English |
|---|---|
| Article number | 109251 |
| Number of pages | 20 |
| Journal | Fuzzy Sets and Systems |
| Volume | 504 |
| DOIs | |
| Publication status | Published - Mar 2025 |
Funding
Toma\u017E Ko\u0161ir was supported in part by the Research and Innovation Agency of Slovenia (research core funding P1-0448 and research project N1-0217). The authors are particularly grateful to Michiel Hochstenbach for introducing them during a research visit of the first author with him at the Eindhoven University of Technology. We would also like to express our gratitude to the reviewers for their careful reading, and thoughtful comments and suggestions on the original version of the manuscript. Toma\u017E Ko\u0161ir was supported in part by the Research and Innovation Agency of Slovenia (research core funding P1-0448 and research project N1-0217).
Keywords
- Imprecise copulas
- Discrete quasi-copulas
- Duality
- Alternating sign matrices
- Patchwork