Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)

Ordinal Choquistic Regression

Authors
Ali Fallah Tehrani, Eyke Huellermeier
Corresponding Author
Ali Fallah Tehrani
Available Online August 2013.
DOI
https://doi.org/10.2991/eusflat.2013.119How to use a DOI?
Keywords
logistic regression ordinal classification Choquet integral monotone classification attribute interaction
Abstract
We propose an extension of choquistic regression from the case of binary to the case of ordinal classification. Choquistic regression itself has been introduced recently as a generalization of conventional logistic regression. The basic idea of this method is to replace the linear function of predictor variables in the logistic regression model by the Choquet integral. Thus, it becomes possible to capture nonlinear dependencies and interactions among predictor variables while preserving two important properties of logistic regression, namely the comprehensibility of the model and the possibility to ensure its monotonicity in individual predictors. In experimental studies, choquistic regression consistently improves upon standard logistic regression in terms of predictive accuracy, especially when being combined with a novel regularization technique that prevents from exceeding the required level of nonadditivity.
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Proceedings
8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2013
ISBN
978-90786-77-78-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/eusflat.2013.119How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Ali Fallah Tehrani
AU  - Eyke Huellermeier
PY  - 2013/08
DA  - 2013/08
TI  - Ordinal Choquistic Regression
BT  - 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.119
DO  - https://doi.org/10.2991/eusflat.2013.119
ID  - Tehrani2013/08
ER  -