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Stepin I, Alonso-Moral JM, Catala A, Pereira-Fariña M. An empirical study on how humans appreciate automated counterfactual explanations which embrace imprecise information. Inf Sci (N Y) 2022. [DOI: 10.1016/j.ins.2022.10.098] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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2
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Gámez JC, García D, González A, Pérez R. An approximation to solve regression problems with a genetic fuzzy rule ordinal algorithm. Appl Soft Comput 2019. [DOI: 10.1016/j.asoc.2019.02.012] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Díaz-Cortés MA, Cuevas E, Gálvez J, Camarena O. A new metaheuristic optimization methodology based on fuzzy logic. Appl Soft Comput 2017. [DOI: 10.1016/j.asoc.2017.08.038] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Rey M, Galende M, Fuente M, Sainz-Palmero G. Multi-objective based Fuzzy Rule Based Systems (FRBSs) for trade-off improvement in accuracy and interpretability: A rule relevance point of view. Knowl Based Syst 2017. [DOI: 10.1016/j.knosys.2016.12.028] [Citation(s) in RCA: 28] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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5
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Cuevas E, Luque A, Zaldívar D, Pérez-Cisneros M. Evolutionary calibration of fractional fuzzy controllers. APPL INTELL 2017. [DOI: 10.1007/s10489-017-0899-y] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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6
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DECO3R: A Differential Evolution-based algorithm for generating compact Fuzzy Rule-based Classification Systems. Knowl Based Syst 2016. [DOI: 10.1016/j.knosys.2016.05.013] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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7
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8
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A discussion on interpretability of linguistic rule based systems and its application to solve regression problems. Knowl Based Syst 2015. [DOI: 10.1016/j.knosys.2015.08.002] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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9
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Rodríguez-Fdez I, Mucientes M, Bugarín A. Learning fuzzy controllers in mobile robotics with embedded preprocessing. Appl Soft Comput 2015. [DOI: 10.1016/j.asoc.2014.09.021] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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10
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Comparison and design of interpretable linguistic vs. scatter FRBSs: Gm3m generalization and new rule meaning index for global assessment and local pseudo-linguistic representation. Inf Sci (N Y) 2014. [DOI: 10.1016/j.ins.2014.05.023] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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11
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An efficient adaptive fuzzy inference system for complex and high dimensional regression problems in linguistic fuzzy modelling. Knowl Based Syst 2013. [DOI: 10.1016/j.knosys.2013.05.012] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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12
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Ozone prediction on the basis of neural networks, support vector regression and methods with uncertainty. ECOL INFORM 2012. [DOI: 10.1016/j.ecoinf.2012.09.001] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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13
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Gonzalez A, Perez R. Selection of relevant features in a fuzzy genetic learning algorithm. ACTA ACUST UNITED AC 2012; 31:417-25. [PMID: 18244806 DOI: 10.1109/3477.931534] [Citation(s) in RCA: 103] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Abstract
Genetic algorithms offer a powerful search method for a variety of learning tasks, and there are different approaches in which they have been applied to learning processes. Structural learning algorithm on vague environment (SLAVE) is a genetic learning algorithm that uses the iterative approach to learn fuzzy rules. SLAVE can select the relevant features of the domain, but when working with large databases the search space is too large and the running time can sometimes be excessive. We propose to improve SLAVE by including a feature selection model in which the genetic algorithm works with individuals (representing individual rules) composed of two structures: one structure representing the relevance status of the involved variables in the rule, the other one representing the assignments variable/value. For this general representation, we study two alternatives depending on the information coded in the first structure. When compared with the initial algorithm, this new approach of SLAVE reduces the number of rules, simplifies the structure of the rules and improves the total accuracy.
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Affiliation(s)
- A Gonzalez
- Dept. de Ciencias de la Comput. e Inteligencia Artificial, Granada Univ
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VILLAR PEDRO, FERNÁNDEZ ALBERTO, CARRASCO RAMÓNA, HERRERA FRANCISCO. FEATURE SELECTION AND GRANULARITY LEARNING IN GENETIC FUZZY RULE-BASED CLASSIFICATION SYSTEMS FOR HIGHLY IMBALANCED DATA-SETS. INT J UNCERTAIN FUZZ 2012. [DOI: 10.1142/s0218488512500195] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
This paper proposes a Genetic Algorithm for jointly performing a feature selection and granularity learning for Fuzzy Rule-Based Classification Systems in the scenario of highly imbalanced data-sets. We refer to imbalanced data-sets when the class distribution is not uniform, a situation that it is present in many real application areas. The aim of this work is to get more compact models by selecting the adequate variables and adapting the number of fuzzy labels for each problem, improving the interpretability of the model. The experimental analysis is carried out over a wide range of highly imbalanced data-sets and uses the statistical tests suggested in the specialized literature.
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Affiliation(s)
- PEDRO VILLAR
- Department of Software Engineering, University of Granada, ETSIIT, 18071 Granada, Spain
| | - ALBERTO FERNÁNDEZ
- Department of Computer Science, University of Jaén, 23071 Jaén, Spain
| | - RAMÓN A. CARRASCO
- Department of Software Engineering, University of Granada, ETSIIT, 18071 Granada, Spain
| | - FRANCISCO HERRERA
- Department of Computer Science and Artificial Intelligence, University of Granada, ETSIIT, 18071 Granada, Spain
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15
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Márquez AA, Márquez FA, Peregrín A. A Mechanism to Improve the Interpretability of Linguistic Fuzzy Systems with Adaptive Defuzzification based on the use of a Multi-objective Evolutionary Algorithm. INT J COMPUT INT SYS 2012. [DOI: 10.1080/18756891.2012.685309] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022] Open
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16
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GONZÁLEZ A, PÉREZ R. A STUDY ABOUT THE INCLUSION OF LINGUISTIC HEDGES IN A FUZZY RULE LEARNING ALGORITHM. INT J UNCERTAIN FUZZ 2011. [DOI: 10.1142/s0218488599000192] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
A very important problem associated with the use of learning algorithms consists of fixing the correct assignment of the initial domains for the predictive variables. In the fuzzy case, this problem is equivalent of define the fuzzy labels for each variable. In this work, we propose the inclusion in a learning algorithm, called SLAVE, of a particular kind of linguistic hedges as a way to modify the intial semantic of the labels. These linguistic hedges allow us both to learn and to tune fuzzy rules.
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Affiliation(s)
- A. GONZÁLEZ
- Departamento de Ciencias de la Computación e Inteligencia Artificial, E.T.S. de Ingeniería Informática, Universidad de Granada, 18071-Granada, Spain
| | - R. PÉREZ
- Departamento de Ciencias de la Computación e Inteligencia Artificial, E.T.S. de Ingeniería Informática, Universidad de Granada, 18071-Granada, Spain
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17
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ALCALÁ R, GACTO MJ, HERRERA F, ALCALÁ-FDEZ J. A MULTI-OBJECTIVE GENETIC ALGORITHM FOR TUNING AND RULE SELECTION TO OBTAIN ACCURATE AND COMPACT LINGUISTIC FUZZY RULE-BASED SYSTEMS. INT J UNCERTAIN FUZZ 2011. [DOI: 10.1142/s0218488507004868] [Citation(s) in RCA: 97] [Impact Index Per Article: 7.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
This work proposes the application of Multi-Objective Genetic Algorithms to obtain Fuzzy Rule-Based Systems with a better trade-off between interpretability and accuracy in linguistic fuzzy modelling problems. To do that, we present a new post-processing method that by considering selection of rules together with tuning of membership functions gets solutions only in the Pareto zone with the highest accuracy, i.e., containing solutions with the least number of possible rules but still presenting high accuracy. This method is based on the well-known SPEA2 algorithm, applying appropriate genetic operators and including some modifications to concentrate the search in the desired Pareto zone.
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Affiliation(s)
- R. ALCALÁ
- Dept. Computer Science and A.I., University of Granada, Granada, E-18071, Spain
| | - M. J. GACTO
- Dept. Computer Science and A.I., University of Granada, Granada, E-18071, Spain
| | - F. HERRERA
- Dept. Computer Science and A.I., University of Granada, Granada, E-18071, Spain
| | - J. ALCALÁ-FDEZ
- Dept. Computer Science, University of Jaen, Jaen, E-23071, Spain
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18
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Cordón O. A historical review of evolutionary learning methods for Mamdani-type fuzzy rule-based systems: Designing interpretable genetic fuzzy systems. Int J Approx Reason 2011. [DOI: 10.1016/j.ijar.2011.03.004] [Citation(s) in RCA: 243] [Impact Index Per Article: 18.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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19
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Orriols-Puig A, Casillas J. Fuzzy knowledge representation study for incremental learning in data streams and classification problems. Soft comput 2010. [DOI: 10.1007/s00500-010-0668-x] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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20
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Hadavandi E, Shavandi H, Ghanbari A. Integration of genetic fuzzy systems and artificial neural networks for stock price forecasting. Knowl Based Syst 2010. [DOI: 10.1016/j.knosys.2010.05.004] [Citation(s) in RCA: 239] [Impact Index Per Article: 17.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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21
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Multiobjective genetic fuzzy rule selection of single granularity-based fuzzy classification rules and its interaction with the lateral tuning of membership functions. Soft comput 2010. [DOI: 10.1007/s00500-010-0671-2] [Citation(s) in RCA: 73] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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22
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Stavrakoudis DG, Theocharis JB, Zalidis GC. A multistage genetic fuzzy classifier for land cover classification from satellite imagery. Soft comput 2010. [DOI: 10.1007/s00500-010-0666-z] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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23
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Alonso JM, Magdalena L. HILK++: an interpretability-guided fuzzy modeling methodology for learning readable and comprehensible fuzzy rule-based classifiers. Soft comput 2010. [DOI: 10.1007/s00500-010-0628-5] [Citation(s) in RCA: 62] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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24
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On the 2-tuples based genetic tuning performance for fuzzy rule based classification systems in imbalanced data-sets. Inf Sci (N Y) 2010. [DOI: 10.1016/j.ins.2009.12.014] [Citation(s) in RCA: 86] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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25
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Herrera F, Lozano M. Fuzzy Evolutionary Algorithms and Genetic Fuzzy Systems: A Positive Collaboration between Evolutionary Algorithms and Fuzzy Systems. INTELLIGENT SYSTEMS REFERENCE LIBRARY 2009. [DOI: 10.1007/978-3-642-01799-5_4] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/12/2023]
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26
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Lasota T, Telec Z, Trawiński B, Trawiński K. Exploration of Bagging Ensembles Comprising Genetic Fuzzy Models to Assist with Real Estate Appraisals. ACTA ACUST UNITED AC 2009. [DOI: 10.1007/978-3-642-04394-9_67] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/16/2023]
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27
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Herrera F. Genetic fuzzy systems: taxonomy, current research trends and prospects. EVOLUTIONARY INTELLIGENCE 2008. [DOI: 10.1007/s12065-007-0001-5] [Citation(s) in RCA: 425] [Impact Index Per Article: 26.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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28
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Genetic learning of accurate and compact fuzzy rule based systems based on the 2-tuples linguistic representation. Int J Approx Reason 2007. [DOI: 10.1016/j.ijar.2006.02.007] [Citation(s) in RCA: 91] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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29
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Alcalá R, Alcalá-Fdez J, Casillas J, Cordón O, Herrera F. Local identification of prototypes for genetic learning of accurate TSK fuzzy rule-based systems. INT J INTELL SYST 2007. [DOI: 10.1002/int.20232] [Citation(s) in RCA: 45] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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30
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Alcalá-Fdez J, Herrera F, Márquez F, Peregrín A. Increasing fuzzy rules cooperation based on evolutionary adaptive inference systems. INT J INTELL SYST 2007. [DOI: 10.1002/int.20237] [Citation(s) in RCA: 38] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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31
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Alcalá R, Alcalá-Fdez J, Gacto MJ, Herrera F. Rule Base Reduction and Genetic Tuning of Fuzzy Systems Based on the Linguistic 3-tuples Representation. Soft comput 2006. [DOI: 10.1007/s00500-006-0106-2] [Citation(s) in RCA: 40] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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32
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Guillaume S, Magdalena L. Expert guided integration of induced knowledge into a fuzzy knowledge base. Soft comput 2006. [DOI: 10.1007/s00500-005-0007-9] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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33
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34
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35
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Casillas J, Cordón O, Fernández de Viana I, Herrera F. Learning cooperative linguistic fuzzy rules using the best-worst ant system algorithm. INT J INTELL SYST 2005. [DOI: 10.1002/int.20074] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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36
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Casillas J, Cordón O, Herrera F, Magdalena L. Interpretability Improvements to Find the Balance Interpretability-Accuracy in Fuzzy Modeling: An Overview. INTERPRETABILITY ISSUES IN FUZZY MODELING 2003. [DOI: 10.1007/978-3-540-37057-4_1] [Citation(s) in RCA: 49] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
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37
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Alcalá R, Cordón O, Herrera F. Combining Rule Weight Learning and Rule Selection to Obtain Simpler and More Accurate Linguistic Fuzzy Models. LECTURE NOTES IN COMPUTER SCIENCE 2003. [DOI: 10.1007/978-3-540-39906-3_3] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/04/2023]
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38
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Casillas J, Cordon O, Herrera F. COR: a methodology to improve ad hoc data-driven linguistic rule learning methods by inducing cooperation among rules. ACTA ACUST UNITED AC 2002; 32:526-37. [DOI: 10.1109/tsmcb.2002.1018771] [Citation(s) in RCA: 66] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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39
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A Prediction System for Cardiovascularity Diseases Using Genetic Fuzzy Rule-Based Systems. ADVANCES IN ARTIFICIAL INTELLIGENCE — IBERAMIA 2002 2002. [DOI: 10.1007/3-540-36131-6_39] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
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40
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Casillas J, Cordón O, Del Jesus M, Herrera F. Genetic feature selection in a fuzzy rule-based classification system learning process for high-dimensional problems. Inf Sci (N Y) 2001. [DOI: 10.1016/s0020-0255(01)00147-5] [Citation(s) in RCA: 101] [Impact Index Per Article: 4.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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41
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Cordón O, Herrera F, Magdalena L, Villar P. A genetic learning process for the scaling factors, granularity and contexts of the fuzzy rule-based system data base. Inf Sci (N Y) 2001. [DOI: 10.1016/s0020-0255(01)00143-8] [Citation(s) in RCA: 39] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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42
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43
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Cordón O, Herrera F, Villar P. Analysis and guidelines to obtain a good uniform fuzzy partition granularity for fuzzy rule-based systems using simulated annealing. Int J Approx Reason 2000. [DOI: 10.1016/s0888-613x(00)00052-9] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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44
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Cord�n O, del Jesus MJ, Herrera F, Lozano M. MOGUL: A methodology to obtain genetic fuzzy rule-based systems under the iterative rule learning approach. INT J INTELL SYST 1999. [DOI: 10.1002/(sici)1098-111x(199911)14:11<1123::aid-int4>3.0.co;2-6] [Citation(s) in RCA: 86] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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45
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Cordon O, Herrera F. A two-stage evolutionary process for designing TSK fuzzy rule-based systems. ACTA ACUST UNITED AC 1999; 29:703-15. [DOI: 10.1109/3477.809026] [Citation(s) in RCA: 77] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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46
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