3 papers
math.ST2024
On the pointwise supremum of the set of copulas with a given curvilinear section
Yao Ouyang, Yonghui Sun, Hua-Peng Zhang
Making use of the total variation of particular functions, we give an explicit formula for the pointwise supremum of the set of all copulas with a given curvilinear section. When t…
math.ST2024
On an upper bound of the set of copulas with a given curvilinear section
Yao Ouyang, Yonghui Sun, Hua-Peng Zhang
The characterizations when two natural upper bounds of the set of copulas with a given diagonal section are copulas have been well studied in the literature. Given a curvilinear se…
math.RA2019
Ordinal sums of triangular norms on a bounded lattice
Yao Ouyang, Hua-Peng Zhang, Bernard De Baets
The ordinal sum construction provides a very effective way to generate a new triangular norm on the real unit interval from existing ones. One of the most prominent theorems concer…