期刊
INFORMATION FUSION
卷 52, 期 -, 页码 322-334出版社
ELSEVIER
DOI: 10.1016/j.inffus.2019.05.006
关键词
Monotonicity; Aggregation; Multidimensional data; Centroid; Spatial median
资金
- Research Foundation of Flanders [FWO17/PDO/160]
- Spanish MINECO [TIN2017-87600-P]
- Czech Science Foundation [18-06915S]
The property of monotonicity, which requires a function to preserve a given order, has been considered the standard in the aggregation of real numbers for decades. In this paper, we argue that, for the case of multidimensional data, an order-based definition of monotonicity is far too restrictive. We propose several meaningful alternatives to this property not involving the preservation of a given order by returning to its early origins stemming from the field of calculus. Numerous aggregation methods for multidimensional data commonly used by practitioners are studied within our new framework.
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