Journal
INFORMATION SCIENCES
Volume 510, Issue -, Pages 183-204Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2019.09.031
Keywords
Possibilistic and nonparametric regressions; Application for hyperspectral imaging for lake sediments; Gradual and fuzzy intervals; Gradual regression; B-spline; Imprecision-uncertainty
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According to an epistemic view of intervals, this paper proposes a possibilistic regression based on gradual interval B-splines to represent the input-output data mapping. In this context, an improvement of the parametric fuzzy regression through the notion of gradual interval B-splines is proposed. The proposed gradual regression based on B-splines can be regarded as an extension of the nonparametric interval-based regression where an uncertain dimension is integrated. The proposed method is validated through illustrative and comparative examples. Moreover, it is applied for modeling the input-output behavior between reflectance and wavelengths in an application for hyperspectral imaging for lake sediments. (C) 2019 Elsevier Inc. All rights reserved.
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