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.
翻译:本文研究了与不精确Copula相关的离散拟Copula。我们重点关注与交错符号矩阵相对应的离散不精确Copula,并提供了若干对偶对的构造方法。此外,我们展示了如何通过拼凑技术获得(全域)自对偶不精确Copula。我们进一步研究了所构造对偶对的性质,并证明了它们具有协调性且避免必然损失。