Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Choquistic Regression: Generalizing Logistic Regression using the Choquet Integral

Authors
Ali Fallah Tehrani, Weiwei Cheng, Eyke Hüllermeier
Corresponding Author
Ali Fallah Tehrani
Available Online August 2011.
DOI
https://doi.org/10.2991/eusflat.2011.86How to use a DOI?
Keywords
logistic regression, Choquet integral, monotone classification, attribute interaction
Abstract
In this paper, we propose a generalization of logistic regression based on the Choquet integral. The basic idea of our approach, referred to as choquistic regression, is to replace the linear function of predictor variables, which is commonly used in logistic regression to model the log odds of the positive class, by the Choquet integral. Thus, it becomes possible to capture non-linear 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 with real and benchmark data, choquistic regression consistently improves upon standard logistic regression in terms of predictive accuracy.
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Proceedings
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
978-90-78677-00-0
DOI
https://doi.org/10.2991/eusflat.2011.86How 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  - Weiwei Cheng
AU  - Eyke Hüllermeier
PY  - 2011/08
DA  - 2011/08
TI  - Choquistic Regression: Generalizing Logistic Regression using the Choquet Integral
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 868
EP  - 875
UR  - https://doi.org/10.2991/eusflat.2011.86
DO  - https://doi.org/10.2991/eusflat.2011.86
ID  - Tehrani2011/08
ER  -