Generating Interpretable Fuzzy Systems for Classification Problems

This paper presents a new method to generate interpretable fuzzy systems from training data to deal with classification problems. The antecedent partition uses triangular sets with 0.5 interpolations avoiding the presence of complex overlapping that happens in another method. Singleton consequents a...

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Main Authors: Juan A. Contreras-Montes, Oscar S. Acuña-Camacho
Format: Article
Language:English
Published: Instituto Tecnológico Metropolitano 2009-12-01
Series:TecnoLógicas
Subjects:
Online Access:http://itmojs.itm.edu.co/index.php/tecnologicas/article/view/246
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author Juan A. Contreras-Montes
Oscar S. Acuña-Camacho
author_facet Juan A. Contreras-Montes
Oscar S. Acuña-Camacho
author_sort Juan A. Contreras-Montes
collection DOAJ
description This paper presents a new method to generate interpretable fuzzy systems from training data to deal with classification problems. The antecedent partition uses triangular sets with 0.5 interpolations avoiding the presence of complex overlapping that happens in another method. Singleton consequents are generated form the projection of the modal values of each triangular membership function into the output space. Least square method is used to adjust the consequents. The proposed method gets a higher average classification accuracy rate than the existing methods with a reduced number of rules andparameters and without sacrificing the fuzzy system interpretability. The proposed approach is applied to two classical classification problems: Iris data and the Wisconsin Breast Cancer classification problem.
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spelling doaj.art-a65b84f04d8f434fa91c7172a40e1f532022-12-21T18:52:10ZengInstituto Tecnológico MetropolitanoTecnoLógicas0123-77992256-53372009-12-01023239255219Generating Interpretable Fuzzy Systems for Classification ProblemsJuan A. Contreras-Montes0Oscar S. Acuña-Camacho1PhD in Technical Sciences from CUJAE, La Habana, Cuba. He graduated as an Electric Engineer in 1987 at the Universidad Tecnológica de Bolívar and as specialist in Industrial Automation in 1998 at the same university. He is working for the Department of Naval Engineer at Navy School in CartagenaMSc from UNAB, He graduated as specialist in Industrial Automation from Coruniversitaria, and as Electrical Engineer from UIS. He is working for the Department of Electrial Engineer at Universidad Tecnologica de Bolivar in CartagenaThis paper presents a new method to generate interpretable fuzzy systems from training data to deal with classification problems. The antecedent partition uses triangular sets with 0.5 interpolations avoiding the presence of complex overlapping that happens in another method. Singleton consequents are generated form the projection of the modal values of each triangular membership function into the output space. Least square method is used to adjust the consequents. The proposed method gets a higher average classification accuracy rate than the existing methods with a reduced number of rules andparameters and without sacrificing the fuzzy system interpretability. The proposed approach is applied to two classical classification problems: Iris data and the Wisconsin Breast Cancer classification problem.http://itmojs.itm.edu.co/index.php/tecnologicas/article/view/246Sistemas difusosinterpretabilidadproblemas de clasificación.
spellingShingle Juan A. Contreras-Montes
Oscar S. Acuña-Camacho
Generating Interpretable Fuzzy Systems for Classification Problems
TecnoLógicas
Sistemas difusos
interpretabilidad
problemas de clasificación.
title Generating Interpretable Fuzzy Systems for Classification Problems
title_full Generating Interpretable Fuzzy Systems for Classification Problems
title_fullStr Generating Interpretable Fuzzy Systems for Classification Problems
title_full_unstemmed Generating Interpretable Fuzzy Systems for Classification Problems
title_short Generating Interpretable Fuzzy Systems for Classification Problems
title_sort generating interpretable fuzzy systems for classification problems
topic Sistemas difusos
interpretabilidad
problemas de clasificación.
url http://itmojs.itm.edu.co/index.php/tecnologicas/article/view/246
work_keys_str_mv AT juanacontrerasmontes generatinginterpretablefuzzysystemsforclassificationproblems
AT oscarsacunacamacho generatinginterpretablefuzzysystemsforclassificationproblems