Name
Abstract | ||
|---|---|---|
In this paper we study the smallest and the greatest M-Lipschitz continuous n-ary aggregation functions with a given diagonal section. We show that several properties that were studied for the smallest and the greatest 1-Lipschitz continuous binary aggregation functions with a given diagonal section extend naturally to higher dimensions while considering different Lipschitz constants. Just as in the binary case, we show that the smallest n-quasi-copula with a given diagonal section coincides with the smallest 1-Lipschitz n-ary aggregation function with that diagonal section. Additionally, we show that the smallest n-quasi-copula with a given diagonal section, called the Bertino n-quasi-copula, is supermodular for any n⩾2. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.fss.2017.12.014 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
n-Quasi-copula,n-Copula,Aggregation function,Lipschitz continuity,Supermodularity | Diagonal,Discrete mathematics,Pure mathematics,Lipschitz continuity,Operator (computer programming),Mathematics,Binary number | Journal |
Volume | ISSN | Citations |
346 | 0165-0114 | 2 |
PageRank | References | Authors |
0.51 | 7 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. J. Arias-García | 1 | 4 | 1.90 |
| Radko Mesiar | 2 | 3778 | 472.41 |
| Erich Peter Klement | 3 | 989 | 128.89 |
| Susanne Saminger-Platz | 4 | 76 | 10.94 |
| Bernard Baets | 5 | 88 | 15.04 |