Improving a Fuzzy ANN Model Using Correlation Coefficients

An improvement of a fuzzy Artificial Neural Network model based on correlation coefficients is presented. As aggregation operator to compute the net input to target neuron a uninorm is used, instead of the sum of all the influences that the neuron receives usually used in typical artificial neurons. Such combination allows increasing the model performance in problem solving. While the natural framework and the interpretability presented in the former model are preserved by using fuzzy sets, experimental results show the improvement can be accomplished by using the proposed model. Significant differences of performance with the previous model in favor of the new one, and comparable results with a traditional classifier were statistically demonstrated. It is also remarkable that the model proposed shows a better behavior in presence of irrelevant attributes than the rest of tested classifiers.

[1]  Bernard De Baets,et al.  Extending a Hybrid CBR-ANN Model by Modeling Predictive Attributes Using Fuzzy Sets , 2006, IBERAMIA-SBIA.

[2]  Usama M. Fayyad,et al.  Multi-Interval Discretization of Continuous-Valued Attributes for Classification Learning , 1993, IJCAI.

[3]  Rafael Bello,et al.  A model and its different applications to case-based reasoning , 1996, Knowl. Based Syst..

[4]  Tony R. Martinez,et al.  Improved Heterogeneous Distance Functions , 1996, J. Artif. Intell. Res..

[5]  Jirí Síma,et al.  Neural expert systems , 1995, Neural Networks.

[6]  Chiang Kao,et al.  Fuzzy measures for correlation coefficient of fuzzy numbers , 2002, Fuzzy Sets Syst..

[7]  Lloyd A. Smith,et al.  Practical feature subset selection for machine learning , 1998 .

[8]  Konstantinos G. Margaritis,et al.  The MYCIN certainty factor handling function as uninorm operator and its use as a threshold function in artificial neurons , 1998, Fuzzy Sets Syst..

[9]  Catherine Blake,et al.  UCI Repository of machine learning databases , 1998 .

[10]  Sankar K. Pal,et al.  Soft Computing in Case Based Reasoning , 2000, Springer London.

[11]  Ronald R. Yager,et al.  Uninorm aggregation operators , 1996, Fuzzy Sets Syst..

[12]  S. Siegel,et al.  Nonparametric Statistics for the Behavioral Sciences , 2022, The SAGE Encyclopedia of Research Design.

[13]  Bernard De Baets,et al.  Residual operators of uninorms , 1999, Soft Comput..

[14]  Ding-An Chiang,et al.  Correlation of fuzzy sets , 1999, Fuzzy Sets Syst..

[15]  Jaime Simão Sichman,et al.  Advances in Artificial Intelligence - IBERAMIA-SBIA 2006 , 2006 .

[16]  J. Ross Quinlan,et al.  C4.5: Programs for Machine Learning , 1992 .