Journal
FUZZY SETS AND SYSTEMS
Volume 335, Issue -, Pages 55-66Publisher
ELSEVIER
DOI: 10.1016/j.fss.2017.05.015
Keywords
Aggregation functions; Copulas; Functional inequalities; Multicriteria decision making; Supermigrativity
Funding
- Free University of Bozen-Bolzano, Faculty of Economics and Management, via the project AIDA
Ask authors/readers for more resources
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. (c) 2017 Elsevier B.V. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available