Abstract | ||
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In the last decade, numerous proposals have been made to deal with imprecision in estimation problems. Those approaches, many of which involve dealing with interval-valued outputs, deal with the subtle difference between uncertainty and imprecision. One of the crucial points - which to our knowledge has never been addressed - is "how to compare an interval-valued method with a precise valued method?" The usual way to compare two estimation methods is to use benchmark data with ground truths and to compute a distance between the estimates of each method and the ground truth. However, most of the mathematical available extensions of distances are either biased in favor of a precise approach or in favor of an imprecise approach. This paper proposes a new tool, the weighted variation of the midpoint distance (WVD), that is more suitable to achieve this kind of comparison, dealing with imprecision with a particular semantic. After reviewing existing distances, we introduce the WVD, first from an intuitive perspective, then from a more mathematical point of view. Its very satisfactory properties are highlighted through an experiment. |
Year | DOI | Venue |
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2016 | 10.1007/978-3-319-40581-0_48 | Communications in Computer and Information Science |
Keywords | Field | DocType |
Interval-valued data,Imprecise probabilities,Engineering | Econometrics,Computer science | Conference |
Volume | ISSN | Citations |
611 | 1865-0929 | 0 |
PageRank | References | Authors |
0.34 | 6 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Hugo Saulnier | 1 | 0 | 0.34 |
O. Strauss | 2 | 153 | 21.17 |
Inés Couso | 3 | 850 | 69.91 |