On the lattice structure of the set of supermodular quasi-copulas.
Fuzzy Sets and Systems(2019)
摘要
We study the relationship between the poset of supermodular n-quasi-copulas and the posets of n-quasi-copulas and n-copulas. It is known that, for n⩾3, the poset of n-quasi-copulas is not order-isomorphic to the Dedekind–MacNeille completion of the poset of n-copulas. We complement the latter result by showing that, for n⩾3, the structure of the poset of n-quasi-copulas is more closely related to that of the poset of supermodular n-quasi-copulas than that of the poset of n-copulas.
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关键词
n-Quasi-copula,n-Copula,Supermodularity,Lattice
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