# Experimental Assessment of Heterogeneous Fuzzy Regression Trees

### José Bárcena, Pietro Ducange, Riccardo Gallo, Francesco Marcelloni, Alessandro Renda, Fabrizio Ruffini

#### 2023

#### Abstract

Fuzzy Regression Trees (FRTs) are widely acknowledged as highly interpretable ML models, capable of dealing with noise and/or uncertainty thanks to the adoption of fuzziness. The accuracy of FRTs, however, strongly depends on the polynomial function adopted in the leaf nodes. Indeed, their modelling capability increases with the order of the polynomial, even if at the cost of greater complexity and reduced interpretability. In this paper we introduce the concept of Heterogeneous FRT: the order of the polynomial function is selected on each leaf node and can lead either to a zero-order or a first-order approximation. In our experimental assessment, the percentage of the two approximation orders is varied to cover the whole spectrum from pure zero-order to pure first-order FRTs, thus allowing an in-depth analysis of the trade-off between accuracy and interpretability. We present and discuss the results in terms of accuracy and interpretability obtained by the corresponding FRTs on nine benchmark datasets.

Download#### Paper Citation

#### in Harvard Style

Bárcena J., Ducange P., Gallo R., Marcelloni F., Renda A. and Ruffini F. (2023). **Experimental Assessment of Heterogeneous Fuzzy Regression Trees**. In *Proceedings of the 15th International Joint Conference on Computational Intelligence - Volume 1: FCTA*; ISBN 978-989-758-674-3, SciTePress, pages 376-384. DOI: 10.5220/0012231000003595

#### in Bibtex Style

@conference{fcta23,

author={José Bárcena and Pietro Ducange and Riccardo Gallo and Francesco Marcelloni and Alessandro Renda and Fabrizio Ruffini},

title={Experimental Assessment of Heterogeneous Fuzzy Regression Trees},

booktitle={Proceedings of the 15th International Joint Conference on Computational Intelligence - Volume 1: FCTA},

year={2023},

pages={376-384},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0012231000003595},

isbn={978-989-758-674-3},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 15th International Joint Conference on Computational Intelligence - Volume 1: FCTA

TI - Experimental Assessment of Heterogeneous Fuzzy Regression Trees

SN - 978-989-758-674-3

AU - Bárcena J.

AU - Ducange P.

AU - Gallo R.

AU - Marcelloni F.

AU - Renda A.

AU - Ruffini F.

PY - 2023

SP - 376

EP - 384

DO - 10.5220/0012231000003595

PB - SciTePress