{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,3]],"date-time":"2026-01-03T06:52:00Z","timestamp":1767423120487},"reference-count":72,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2011,7,28]],"date-time":"2011-07-28T00:00:00Z","timestamp":1311811200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2012,3]]},"DOI":"10.1007\/s00500-011-0748-6","type":"journal-article","created":{"date-parts":[[2011,7,27]],"date-time":"2011-07-27T10:46:27Z","timestamp":1311763587000},"page":"451-470","source":"Crossref","is-referenced-by-count":18,"title":["Complexity reduction and interpretability improvement for fuzzy rule systems based on simple interpretability measures and indices by bi-objective evolutionary rule selection"],"prefix":"10.1007","volume":"16","author":[{"given":"Marta","family":"Galende-Hern\u00e1ndez","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gregorio I.","family":"Sainz-Palmero","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maria J.","family":"Fuente-Aparicio","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,7,28]]},"reference":[{"issue":"9","key":"748_CR1","doi-asserted-by":"crossref","first-page":"717","DOI":"10.1007\/s00500-005-0002-1","volume":"10","author":"R Alcal\u00e1","year":"2006","unstructured":"Alcal\u00e1 R, Alcal\u00e1-Fdez J, Casillas J, Cord\u00f3n O, Herrera F (2006) Hybrid learning models to get the interpretability-accuracy trade-off in fuzzy modeling. Soft Comput 10(9):717\u2013734","journal-title":"Soft Comput"},{"key":"748_CR2","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/j.ijar.2006.02.007","volume":"44","author":"R Alcal\u00e1","year":"2007","unstructured":"Alcal\u00e1 R, Alcal\u00e1-Fdez J, Herrera F, Otero J (2007a) Genetic learning of accurate and compact fuzzy rule based systems based on the 2-tuples linguistic representation. Int J Approx Reason 44:45\u201364","journal-title":"Int J Approx Reason"},{"issue":"5","key":"748_CR3","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1142\/S0218488507004868","volume":"15","author":"R Alcal\u00e1","year":"2007","unstructured":"Alcal\u00e1 R, Gacto MJ, Herrera F, Alcal\u00e1-Fdez J (2007b) A multi-objective genetic algorithm for tuning and rule selection to obtain accurate and compact linguistic fuzzy rule-based systems. Int J Uncertain Fuzziness Knowl Based Syst 15(5):539\u2013557","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"},{"issue":"5","key":"748_CR4","doi-asserted-by":"crossref","first-page":"1106","DOI":"10.1109\/TFUZZ.2009.2023113","volume":"17","author":"R Alcal\u00e1","year":"2009","unstructured":"Alcal\u00e1 R, Ducange P, Herrera F, Lazzerini B, Marcelloni F (2009) A multiobjective evolutionary approach to concurrently learn rule and data bases of linguistic fuzzy-rule-based systems. IEEE Trans Fuzzy Syst 17(5):1106\u20131122","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"748_CR5","doi-asserted-by":"crossref","unstructured":"Alcal\u00e1 R, Nojima Y, Herrera F, Ishibuchi H (2011) Multiobjective genetic fuzzy rule selection of single granularity-based fuzzy classification rules and its interaction with the lateral tuning of membership functions. Soft Comput. doi: 10.1007\/s00500-010-0671-2","DOI":"10.1007\/s00500-010-0671-2"},{"issue":"3","key":"748_CR6","first-page":"307","volume":"13","author":"J Alcal\u00e1-Fdez","year":"2009","unstructured":"Alcal\u00e1-Fdez J, S\u00e1nchez L, Garc\u00eda S, del Jesus MJ, Ventura S, Garrell JM, Otero J, Romero C, Bacardit J, Rivas VM, Fernndez JC, Herrera F (2009) KEEL: a software tool to assess evolutionary algorithms for data mining problems. Soft Comput Fusion Found Methodol Appl 13(3):307\u2013318","journal-title":"Soft Comput Fusion Found Methodol Appl"},{"issue":"2\u20133","key":"748_CR7","first-page":"255","volume":"17","author":"J Alcal\u00e1-Fdez","year":"2011","unstructured":"Alcal\u00e1-Fdez J, Fernandez A, Luengo J, Derrac J, Garc\u00eda S, S\u00e1nchez L, Herrera F (2011) KEEL data-mining software tool: Data set repository, integration of algorithms and experimental analysis framework. J Multiple Valued Logic Soft Comput 17:2\u20133 255\u2013287","journal-title":"J Multiple Valued Logic Soft Comput"},{"issue":"1","key":"748_CR8","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1016\/j.ijar.2009.09.004","volume":"51","author":"JM Alonso","year":"2009","unstructured":"Alonso JM, Magdalena L, Gonz\u00e1lez-Rodr\u00edguez G (2009) Looking for a good fuzzy system interpretability index: an experimental approach. Int J Approx Reason 51(1):115\u2013134","journal-title":"Int J Approx Reason"},{"key":"748_CR9","doi-asserted-by":"crossref","unstructured":"Alonso JM, Magdalena L (2010) HILK++: an interpretability-guided fuzzy modeling methodology for learning readable and comprehensible fuzzy rule-based classifiers. Soft Comput Fusion Found Methodol Appl (online first)","DOI":"10.1007\/s00500-010-0628-5"},{"issue":"9","key":"748_CR10","doi-asserted-by":"crossref","first-page":"1641","DOI":"10.1109\/5.784245","volume":"87","author":"PP Bonissoene","year":"1999","unstructured":"Bonissoene PP, Chen Y-T, Goebel K, Khedkar PS (1999) Hybrid soft computing systems: industrial and commercial applications. Proc IEEE 87(9):1641\u20131667","journal-title":"Proc IEEE"},{"issue":"5","key":"748_CR11","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1007\/s00500-008-0360-6","volume":"13","author":"A Botta","year":"2009","unstructured":"Botta A, Lazzerini B, Marcelloni F, Stefanescu DC (2009) Context adaptation of fuzzy systems through a multi-objective evolutionary approach based on a novel interpretability index. Soft Comput 13(5):437\u2013449","journal-title":"Soft Comput"},{"issue":"4\u20135","key":"748_CR12","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1016\/S0893-6080(01)00031-4","volume":"14","author":"JM Cano Izquierdo","year":"2001","unstructured":"Cano Izquierdo JM, Dimitriadis YA, G\u00f3mez S\u00e1nchez E, L\u00f3pez Coronado J (2001) Learning from noisy information in FasArt and Fasback neuro-fuzzy systems. Neural Netw 14(4\u20135):407\u2013425","journal-title":"Neural Netw"},{"key":"748_CR13","doi-asserted-by":"crossref","unstructured":"Casillas J, Cord\u00f3n O, Herrera F, Magdalena L (eds) (2003a) Accuracy improvements in linguistic fuzzy ,modelling. Studies in fuzziness and soft computing, vol 129. Springer, Berlin","DOI":"10.1007\/978-3-540-37058-1"},{"key":"748_CR14","doi-asserted-by":"crossref","unstructured":"Casillas J, Cord\u00f3n O, Herrera F, Magdalena L (eds) (2003b) Interpretability Issues in fuzzy modeling. Studies in fuzziness and soft computing, vol 128. Springer, Berlin","DOI":"10.1007\/978-3-540-37057-4"},{"issue":"2","key":"748_CR15","first-page":"265","volume":"142","author":"MY Chen","year":"2004","unstructured":"Chen MY, Linkens DA (2004) Rule-base self-generation and simplification for data-driven fuzzy models. Fuzzy Sets Syst 142(2):265\u2013265","journal-title":"Fuzzy Sets Syst"},{"key":"748_CR16","doi-asserted-by":"crossref","first-page":"1013","DOI":"10.1007\/s00500-007-0150-6","volume":"11","author":"M Cococcioni","year":"2007","unstructured":"Cococcioni M, Ducange P, Lazzerini B, Marcelloni F (2007) A Pareto-based multi-objective evolutionary approach to the identification of Mamdani fuzzy systems. Soft Comput 11:1013\u20131031","journal-title":"Soft Comput"},{"key":"748_CR17","doi-asserted-by":"crossref","unstructured":"Cord\u00f3n O, Herrera F, Hoffmann F, Magdalena L (2001) Genetic fuzzy systems: evolutionary tuning and learning of fuzzy knowledge bases. Advances in fuzzy systems\u2014applications and theory. World Scientific, Singapore","DOI":"10.1142\/4177"},{"issue":"4","key":"748_CR18","doi-asserted-by":"crossref","first-page":"701","DOI":"10.1109\/TNN.2009.2012425","volume":"20","author":"K Cpalka","year":"2009","unstructured":"Cpalka K (2009) A new method for design and reduction of neuro-fuzzy classification systems. IEEE Trans Neural Netw 20(4):701\u2013714","journal-title":"IEEE Trans Neural Netw"},{"issue":"2","key":"748_CR20","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1109\/4235.996017","volume":"6","author":"K Deb","year":"2002","unstructured":"Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182\u2013197","journal-title":"IEEE Trans Evol Comput"},{"key":"748_CR21","doi-asserted-by":"crossref","unstructured":"Delgado MR, Von Zuben F, Gomide F (2003) Hierarchical genetic fuzzy systems: accuracy, interpretability and design autonomy. In: Interpretability Issues in fuzzy modelling. Studies in fuzziness and soft computing, vol 128. Springer, Berlin, pp 379\u2013405","DOI":"10.1007\/978-3-540-37057-4_16"},{"key":"748_CR22","first-page":"1","volume":"7","author":"J Dem\u0161ar","year":"2006","unstructured":"Dem\u0161ar J (2006) Statistical comparisons of classifiers over multiple data sets. J Mach Learn Res 7:1\u201330","journal-title":"J Mach Learn Res"},{"issue":"18","key":"748_CR23","doi-asserted-by":"crossref","first-page":"2078","DOI":"10.1016\/j.fss.2007.04.026","volume":"158","author":"S Destercke","year":"2007","unstructured":"Destercke S, Guillaume S, Charnomordic B (2007) Building an interpretable fuzzy rule base from data using orthogonal least squares-application to a depollution problem. Fuzzy Sets Syst 158(18):2078\u20132094","journal-title":"Fuzzy Sets Syst"},{"key":"748_CR100","doi-asserted-by":"crossref","unstructured":"Eshelman LJ (1991) The CHC adaptive search algorithm: how to have safe search when engaging in nontraditional genetic recombination. In: Foundations of genetic algorithms 1. Morgan Kaufmann, San Mateo, CA, pp 265\u2013283","DOI":"10.1016\/B978-0-08-050684-5.50020-3"},{"issue":"5","key":"748_CR24","doi-asserted-by":"crossref","first-page":"591","DOI":"10.1109\/91.873582","volume":"8","author":"J Espinosa","year":"2000","unstructured":"Espinosa J, Vandewalle J (2000) Constructing fuzzy models with linguistic integrity from numerical data-AFRELI algorithm. IEEE Trans Fuzzy Syst 8(5):591\u2013600","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"748_CR25","doi-asserted-by":"crossref","unstructured":"Fiordaliso A (2003) About the trade-off between accuracy and interpretability of Takagi-Sugeno models in the context of nonlinear time series forecasting. In: Interpretability issues in fuzzy modelling. Studies in fuzziness and soft computing, vol 128. Springer, Berlin, pp 406\u2013430","DOI":"10.1007\/978-3-540-37057-4_17"},{"issue":"5","key":"748_CR27","first-page":"419","volume":"13","author":"MJ Gacto","year":"2009","unstructured":"Gacto MJ, Alcal\u00e1 R, Herrera F (2009) Adaptation and application of multi-objective evolutionary algorithms for rule reduction and parameter tuning of fuzzy rule-based systems. Soft Comput Fusion Found Methodol Appl 13(5):419\u2013436","journal-title":"Soft Comput Fusion Found Methodol Appl"},{"issue":"3","key":"748_CR28","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1109\/TFUZZ.2010.2041008","volume":"18","author":"MJ Gacto","year":"2010","unstructured":"Gacto MJ, Alcal\u00e1 R, Herrera F (2010) Integration of an index to preserve the semantic interpretability in the multi-objective evolutionary rule selection and tuning of linguistic fuzzy systems. IEEE Trans Fuzzy Syst 18(3):515\u2013531","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"748_CR26","doi-asserted-by":"crossref","unstructured":"Gacto MJ, Alcal\u00e1 R, Herrera F (2011) Interpretability of linguistic fuzzy rule-based systems: an overview of interpretability measures. Inf Sci 181:4340\u20134360","DOI":"10.1016\/j.ins.2011.02.021"},{"key":"748_CR29","doi-asserted-by":"crossref","unstructured":"Galende M, Sainz GI, Fuente MJ, Herreros A (2008) Interpretability-accuracy improvement in a neuro-fuzzy ART based model of a DC motor. In: Proceedings of the 17th IFAC world congress, Seoul, Korea, 6\u201311 July 2008, pp 7034\u20137039","DOI":"10.3182\/20080706-5-KR-1001.01192"},{"key":"748_CR30","doi-asserted-by":"crossref","unstructured":"Galende M, Sainz GI, Fuente MJ (2009) Accuracy-interpretability balancing in fuzzy models based on multiobjective genetic algorithm. In: Proceedings of European control conference 2009 (ECC\u201909), Budapest, Hungary, 23\u201326 August 2009, pp 3915\u20133920","DOI":"10.23919\/ECC.2009.7075011"},{"key":"748_CR31","first-page":"2677","volume":"9","author":"S Garc\u00eda","year":"2008","unstructured":"Garc\u00eda S, Herrera F (2008) An extension on \u201cstatistical comparisons of classifiers over multiple data sets\u201d for all pairwise comparisons. J Mach Learn Res 9:2677\u20132694","journal-title":"J Mach Learn Res"},{"issue":"10","key":"748_CR32","doi-asserted-by":"crossref","first-page":"959","DOI":"10.1007\/s00500-008-0392-y","volume":"13","author":"S Garc\u00eda","year":"2009","unstructured":"Garc\u00eda S, Fern\u00e1ndez A, Luengo J, Herrera F (2009) A study of statistical techniques and performance measures for genetics-based machine learning: accuracy and interpretability. Soft Comput 13(10):959\u2013977","journal-title":"Soft Comput"},{"key":"748_CR33","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1007\/s10732-008-9080-4","volume":"15","author":"S Garc\u00eda","year":"2009","unstructured":"Garc\u00eda S, Molina D, Lozano M, Herrera F (2009) A study on the use of non-parametric tests for analyzing the evolutionary algorithms\u2019 behaviour: a case study on the CEC 2005 special session on real parameter optimization. J Heuristics 15:617\u2013644","journal-title":"J Heuristics"},{"issue":"1","key":"748_CR34","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1109\/72.977271","volume":"13","author":"E G\u00f3mez-S\u00e1nchez","year":"2002","unstructured":"G\u00f3mez-S\u00e1nchez E, Dimitriadis YA, Cano-Izquierdo JM, L\u00f3pez-Coronado J (2002)\u00a0\u03bcARTMAP: use of mutual information for category reduction in fuzzy ARTMAP. IEEE Trans Neural Netw 13(1):58\u201369","journal-title":"IEEE Trans Neural Netw"},{"key":"748_CR35","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/j.ijar.2006.02.006","volume":"44","author":"J Gonz\u00e1lez","year":"2007","unstructured":"Gonz\u00e1lez J, Rojas I, Pomares H, Herrera LJ, Guill\u00e9n A, Palomares JM, Rojas F (2007) Improving the accuracy while preserving the interpretability of fuzzy function approximators by means of multi-objective evolutionary algorithms. Int J Approx Reason 44:32\u201344","journal-title":"Int J Approx Reason"},{"key":"748_CR36","doi-asserted-by":"crossref","unstructured":"Guillaume S, Charnomordic B (2003) A new method for inducing a set of interpretable fuzzy partitions and fuzzy inference systems from data. In: Interpretability issues in fuzzy modelling. Studies in fuzziness and soft computing, vol 128. Springer, Berlin, pp 148\u2013175","DOI":"10.1007\/978-3-540-37057-4_7"},{"key":"748_CR38","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1007\/s12065-007-0001-5","volume":"1","author":"F Herrera","year":"2008","unstructured":"Herrera F (2008) Genetic fuzzy systems: taxonomy, current research trends and prospects. Evol Intel 1:27\u201346","journal-title":"Evol Intel"},{"key":"748_CR37","unstructured":"Ishibuchi H, Nojima Y (2009) Discussions on interpretability of fuzzy systems using simple examples. In: Proceedings of 13th IFSA world congress and 6th conference of EUSFLAT, pp 1649\u20131654"},{"issue":"1","key":"748_CR39","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1016\/j.ijar.2006.01.004","volume":"44","author":"H Ishibuchi","year":"2007","unstructured":"Ishibuchi H, Nojima Y (2007) Analysis of interpretability-accuracy tradeoff of fuzzy systems by multiobjective fuzzy genetics-based machine learning. Int J Approx Reason 44(1):4\u201331","journal-title":"Int J Approx Reason"},{"issue":"1","key":"748_CR40","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/S0165-0114(03)00114-3","volume":"141","author":"H Ishibuchi","year":"2004","unstructured":"Ishibuchi H, Yamamoto T (2004) Fuzzy rule selection by multi-objective genetic local search algorithms and rule evaluation measures in data mining. Fuzzy Sets Syst 141(1):59\u201388","journal-title":"Fuzzy Sets Syst"},{"issue":"3","key":"748_CR41","doi-asserted-by":"crossref","first-page":"260","DOI":"10.1109\/91.413232","volume":"3","author":"H Ishibuchi","year":"1995","unstructured":"Ishibuchi H, Nozaki K, Yamamoto N, Tanaka H (1995) Selecting fuzzy if-then rules for classification problems using genetic algorithms. IEEE Trans Fuzzy Syst 3(3):260\u2013270","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"2","key":"748_CR42","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/S0165-0114(96)00098-X","volume":"89","author":"H Ishibuchi","year":"1997","unstructured":"Ishibuchi H, Murata T, T\u00fcrksen IB (1997) Single-objective and two-objective genetic algorithms for selecting linguistic rules for pattern classification problems. Fuzzy Sets Syst 89(2):135\u2013150","journal-title":"Fuzzy Sets Syst"},{"issue":"1\u20134","key":"748_CR43","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/S0020-0255(01)00144-X","volume":"136","author":"H Ishibuchi","year":"2001","unstructured":"Ishibuchi H, Nakashima T, Murata T (2001) Three-objective genetics-based machine learning for linguistic rule extraction. Inf Sci 136(1\u20134):109\u2013133","journal-title":"Inf Sci"},{"key":"748_CR44","doi-asserted-by":"crossref","unstructured":"Ishibuchi H, Kaisho Y, Nojima Y (2009a) Complexity, interpretability and explanation capability of fuzzy rule-based classifiers. In: IEEE international conference on fuzzy systems, 2009. FUZZ-IEEE 2009, 20\u201324 August 2009, pp 1730\u20131735","DOI":"10.1109\/FUZZY.2009.5277380"},{"key":"748_CR45","doi-asserted-by":"crossref","unstructured":"Ishibuchi H, Nakashima Y, Nojima Y (2009b) Search ability of evolutionary multiobjective optimization algorithms for multiobjective fuzzy genetics-based machine learning. In: IEEE international conference on fuzzy systems, 2009. FUZZ-IEEE 2009, 20\u201324 August 2009, pp 1724\u20131729","DOI":"10.1109\/FUZZY.2009.5277370"},{"key":"748_CR46","doi-asserted-by":"crossref","unstructured":"Jimenez F, G\u00f3mez-Skarmeta AF, Sanchez G, Roubos H, Babu\u0161ka R (2003) Accurate, transparent and compact fuzzy models by multi-objective evolutionary algorithms. In: Interpretability Issues in fuzzy modelling. Studies in fuzziness and soft computing, vol 128. Springer, Berlin, pp 431\u2013451","DOI":"10.1007\/978-3-540-37057-4_18"},{"issue":"2","key":"748_CR47","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1109\/91.842154","volume":"8","author":"Y Jin","year":"2000","unstructured":"Jin Y (2000) Fuzzy modeling of high-dimensional systems: complexity reduction and interpretability improvement. IEEE Trans Fuzzy Syst 8(2):212\u2013221","journal-title":"IEEE Transactions on Fuzzy Systems,"},{"issue":"6","key":"748_CR48","doi-asserted-by":"crossref","first-page":"829","DOI":"10.1109\/3477.809036","volume":"29","author":"Y Jin","year":"1999","unstructured":"Jin Y, Von Seelen W, Sendhoff B (1999) On generating FC 3 fuzzy rule systems from data using evolution strategies. IEEE Trans Syst Man Cybern Part B Cybern 29(6):829\u2013845","journal-title":"IEEE Trans Syst Man Cybern Part B Cybern"},{"key":"748_CR49","volume-title":"Soft computing and intelligent systems design. Tools and applications","author":"FO Karray","year":"2004","unstructured":"Karray FO, de De Silva C (2004) Soft computing and intelligent systems design. Tools and applications. Addison-Wesley, Reading"},{"key":"748_CR50","doi-asserted-by":"crossref","DOI":"10.1007\/b138935","volume-title":"Computational intelligence: principles, techniques and applications","author":"A Konar","year":"2005","unstructured":"Konar A (2005) Computational intelligence: principles, techniques and applications. Springer, Berlin"},{"issue":"24","key":"748_CR51","doi-asserted-by":"crossref","first-page":"4585","DOI":"10.1016\/j.ins.2008.08.015","volume":"178","author":"C Mencar","year":"2008","unstructured":"Mencar C, Fanelli A (2008) Interpretability constraints for fuzzy information granulation. Inf Sci 178(24):4585\u20134618","journal-title":"Inf Sci"},{"issue":"2","key":"748_CR52","doi-asserted-by":"crossref","first-page":"179","DOI":"10.1016\/j.fss.2004.06.006","volume":"150","author":"R Mikut","year":"2005","unstructured":"Mikut R, J\u00e4kel J, Gr\u00f6ll L (2005) Interpretability issues in data-based learning of fuzzy systems. Fuzzy Sets Syst 150(2):179\u2013197","journal-title":"Fuzzy Sets Syst"},{"issue":"2","key":"748_CR53","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1016\/S0165-0114(98)00169-9","volume":"101","author":"D. Nauck","year":"1999","unstructured":"Nauck D, Kruse R (1999) Neuro-fuzzy systems for function approximation. Fuzzy Sets Syst 101(2):261\u2013271","journal-title":"Fuzzy Sets Syst"},{"key":"748_CR67","doi-asserted-by":"crossref","unstructured":"Nojima Y, Ishibuchi H (2009) Incorporation of user preference into multi-objective genetic fuzzy rule selection for pattern classifi cation problems. Artif Life Robot 14(3):418\u2013421","DOI":"10.1007\/s10015-009-0700-3"},{"issue":"7","key":"748_CR54","doi-asserted-by":"crossref","first-page":"1039","DOI":"10.1016\/S0893-6080(03)00009-1","volume":"16","author":"E Parrado-Hern\u00e1ndez","year":"2003","unstructured":"Parrado-Hern\u00e1ndez E, G\u00f3mez-S\u00e1nchez E, Dimitriadis YA (2003) Study of distributed learning as a solution to category proliferation in fuzzy ARTMAP based neural systems. Neural Netw 16(7):1039\u20131057","journal-title":"Neural Netw"},{"issue":"2","key":"748_CR55","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1016\/j.ijar.2007.10.004","volume":"48","author":"P Pulkkinen","year":"2008","unstructured":"Pulkkinen P, Koivisto H (2008) Fuzzy classifier identification using decision tree and multiobjective evolutionary algorithms. Int J Approx Reason 48(2):526\u2013543","journal-title":"Int J Approx Reason"},{"issue":"1","key":"748_CR56","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1109\/TFUZZ.2009.2038712","volume":"18","author":"P Pulkkinen","year":"2010","unstructured":"Pulkkinen P, Koivisto H (2010) A dynamically constrained multiobjective genetic fuzzy system for regression problems. IEEE Trans Fuzzy Syst 18(1):161\u2013177","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"4","key":"748_CR57","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1109\/91.940965","volume":"9","author":"H Roubos","year":"2001","unstructured":"Roubos H, Setnes M (2001) Compact and transparent fuzzy models and classfiers through iterative complexity reduction. IEEE Trans Fuzzy Syst 9(4):516\u2013524","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"748_CR58","doi-asserted-by":"crossref","unstructured":"Sainz Palmero GI, Dimitriadis YA, Cano Izquierdo JM, G\u00f3mez S\u00e1nchez E, Parrado Hern\u00e1ndez E (2000) ART based model set for pattern recognition: FasArt family. In: Bunke H, Kandel A (eds) Neuro-fuzzy pattern recognition, chap 1. World Scientific, Singapore, pp 147\u2013177","DOI":"10.1142\/9789812792204_0007"},{"key":"748_CR59","doi-asserted-by":"crossref","unstructured":"Sainz Palmero GI, Juez Santamaria J, Moya de la Torre EJ, Per\u00e1n Gonz\u00e1lez JR (2005) Fault detection and fuzzy rule extraction in AC motors by a neuro-fuzzy ART-based system. Eng Appl Artif Intell 18:867\u2013874","DOI":"10.1016\/j.engappai.2005.02.005"},{"key":"748_CR60","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/S0947-3580(04)70331-3","volume":"10","author":"GI Sainz","year":"2004","unstructured":"Sainz GI, Fuente MJ, Vega P (2004) Recurrent neuro-fuzzy modelling of a wastewater treatment plant. Eur J Control 10:83\u201395","journal-title":"Eur J Control"},{"key":"748_CR61","doi-asserted-by":"crossref","unstructured":"Setnes M (2003) Simplification and reduction of fuzzy rules. In: Interpretability issues in fuzzy modelling. Studies in fuzziness and soft computing, vol 128. Springer, Berlin, pp 278\u2013302","DOI":"10.1007\/978-3-540-37057-4_12"},{"issue":"2","key":"748_CR62","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1109\/5326.941843","volume":"31","author":"M Setnes","year":"2001","unstructured":"Setnes M, Babu\u0161ka R (2001) Rule base reduction: some comments on the use of orthogonal transforms. IEEE Trans Syst Man Cybern Part C Appl Rev 31(2):199\u2013206","journal-title":"IEEE Trans Syst Man Cybern Part C Appl Rev"},{"issue":"3","key":"748_CR63","doi-asserted-by":"crossref","first-page":"376","DOI":"10.1109\/3477.678632","volume":"28","author":"M Setnes","year":"1998","unstructured":"Setnes M, Babu\u0161ka R, Kaymak U, van Nauta Lemke HR (1998) Similarity measures in fuzzy rule base simplification. IEEE Trans Syst Man Cybern Part B Cybern 28(3):376\u2013386","journal-title":"IEEE Trans Syst Man Cybern Part B Cybern"},{"key":"748_CR19","doi-asserted-by":"crossref","unstructured":"Sheskin DJ (2003) Handbook of parametric and nonparametric statistical procedures. Chapman & Hall\/CRC, London","DOI":"10.1201\/9781420036268"},{"key":"748_CR64","doi-asserted-by":"crossref","unstructured":"Suzuki T, Furuhashi T (2003) Conciseness of fuzzy models. In: Interpretability issues in fuzzy modelling. Studies in fuzziness and soft computing, vol 128. Springer, Berlin, pp 569\u2013586","DOI":"10.1007\/978-3-540-37057-4_24"},{"issue":"6","key":"748_CR65","doi-asserted-by":"crossref","first-page":"1414","DOI":"10.1109\/21.199466","volume":"22","author":"L-X Wang","year":"1992","unstructured":"Wang L-X, Mendel JM (1992) Generating fuzzy rules by learning from examples. IEEE Trans Syst Man Cybern 22(6):1414\u20131427","journal-title":"IEEE Trans Syst Man Cybern"},{"issue":"1","key":"748_CR66","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1109\/3477.740162","volume":"29","author":"J Yen","year":"1999","unstructured":"Yen J, Wang L (1999) Simplifying fuzzy rule-based models using orthogonal transformation methods. IEEE Trans Syst Man Cybern Part B Cybern 29(1):13\u201324","journal-title":"IEEE Trans Syst Man Cybern Part B Cybern"},{"key":"748_CR68","unstructured":"Zar JH (1999) Biostatistical analysis. Prentice-Hall, Englewood Cliffs"},{"key":"748_CR69","doi-asserted-by":"crossref","first-page":"3091","DOI":"10.1016\/j.fss.2008.05.016","volume":"159","author":"S-M Zhou","year":"2008","unstructured":"Zhou S-M, Gan JQ (2008) Low-level interpretability and high-level interpretability: a unified view of data-driven interpretable fuzzy system modelling. Fuzzy Sets Syst 159:3091\u20133131","journal-title":"Fuzzy Sets Syst"},{"issue":"6","key":"748_CR70","first-page":"815","volume":"31","author":"X Zong-Yi","year":"2005","unstructured":"Zong-Yi X, Li-Min J, Yong Z, Wei-Li H, Yong Q (2005) A case study of data-driven interpretable fuzzy modeling. Acta Autom Sin 31(6):815\u2013824","journal-title":"Acta Autom Sin"},{"key":"748_CR71","doi-asserted-by":"crossref","unstructured":"Zong-Yi X, Yong Z, Yuan-Long H, Guo-Qiang C (2008) Multi-objective fuzzy modeling using NSGA-II. In: IEEE conference on cybernetics and intelligent systems, 21\u201324 September 2008, pp 119\u2013124","DOI":"10.1109\/ICCIS.2008.4670812"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-011-0748-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-011-0748-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-011-0748-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,13]],"date-time":"2019-06-13T13:06:13Z","timestamp":1560431173000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-011-0748-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,7,28]]},"references-count":72,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2012,3]]}},"alternative-id":["748"],"URL":"https:\/\/doi.org\/10.1007\/s00500-011-0748-6","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,7,28]]}}}