Name
Abstract | ||
|---|---|---|
A functional inequality, called supermigrativity, was recently introduced for bivariate semi-copulas and applied in various problems arising in the study of aging properties of stochastic systems. Here, we revisit this notion and extend it to the case of aggregation functions in higher dimensions. In particular, we show how supermigrativity can be expressed via monotonicity of a function with respect to logarithmic majorization ordering of real vectors. Various alternative characterizations of supermigrativity are illustrated, together with some of its weaker versions. Several examples show similarities and differences between the bivariate and the general case. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1016/j.fss.2017.05.015 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
Aggregation functions,Copulas,Functional inequalities,Multicriteria decision making,Supermigrativity | Discrete mathematics,Monotonic function,Copula (linguistics),Majorization,Inequality,Logarithm,Bivariate analysis,Mathematics | Journal |
Volume | ISSN | Citations |
335 | 0165-0114 | 2 |
PageRank | References | Authors |
0.38 | 8 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fabrizio Durante | 1 | 391 | 59.28 |
| Roberto Ghiselli Ricci | 2 | 150 | 14.87 |