Differentiating adaptive Neuro-Fuzzy Inference System for accurate function derivative approximation

作者：Khayat Omid^*; Nejad Hadi Chahkandi; Rahatabad Fereidoon Nowshiravan; Abadi Mahdi Mohammad

来源：Neurocomputing, 2013, 103: 232-238.

DOI：10.1016/j.neucom.2012.09.025

• Adaptive Neuro-Fuzzy Inference System
• Discrete function derivatives
• Function derivative approximation

Function and its partial derivative approximation based upon a set of discrete dataset are important issues in soft computing. Several function approximators have been presented most of them fits a model to the dataset so that the Mean Squared Error is minimized. In this paper, we propose to calculate the derivative of the Neuro-Fuzzy function approximator directly according to the parametric structure of the system and the available dataset. A criterion for derivative approximation is defined based on a combination of MSE and Approximate Entropy. According to this criterion, the superiority of the Neuro-Fuzzy model is demonstrated in comparison with some other types of Artificial Neural Networks and Polynomial models.

• 出版日期2013-3-1