{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,6]],"date-time":"2025-12-06T04:53:20Z","timestamp":1764996800200},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2006,6,10]],"date-time":"2006-06-10T00:00:00Z","timestamp":1149897600000},"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":[[2006,12,15]]},"DOI":"10.1007\/s00500-006-0106-2","type":"journal-article","created":{"date-parts":[[2006,6,9]],"date-time":"2006-06-09T11:06:49Z","timestamp":1149851209000},"page":"401-419","source":"Crossref","is-referenced-by-count":45,"title":["Rule Base Reduction and Genetic Tuning of Fuzzy Systems Based on the Linguistic 3-tuples Representation"],"prefix":"10.1007","volume":"11","author":[{"given":"Rafael","family":"Alcal\u00e1","sequence":"first","affiliation":[]},{"given":"Jes\u00fas","family":"Alcal\u00e1-Fdez","sequence":"additional","affiliation":[]},{"given":"Mar\u00eda Jos\u00e9","family":"Gacto","sequence":"additional","affiliation":[]},{"given":"Francisco","family":"Herrera","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2006,6,10]]},"reference":[{"key":"106_CR1","doi-asserted-by":"crossref","unstructured":"Alcal\u00e1 R, Herrera F (2004) Genetic tuning on fuzzy systems based on the linguistic 2-tuples representation. In: Proceedings of the 13th IEEE international conference on fuzzy systems, vol 1, pp 233\u2013238","DOI":"10.1109\/FUZZY.2004.1375725"},{"issue":"1","key":"106_CR2","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/S0952-1976(02)00003-9","volume":"15","author":"R Babu\u0161ka","year":"2002","unstructured":"Babu\u0161ka R, Oosterhoff J, Oudshoorn A, Bruijn PM (2002) Fuzzy selftuning PI control of pH in fermentation, Eng Appl Artif Intell 15(1): 3\u201315","journal-title":"Eng Appl Artif Intell"},{"issue":"4","key":"106_CR3","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1142\/S0218488594000365","volume":"3","author":"A Bastian","year":"1994","unstructured":"Bastian A (1994) How to handle the flexibility of linguistic variables with applications. Int J Uncertain, Fuzziness Knowl-Based Syst 3(4): 463-484","journal-title":"Int J Uncertain, Fuzziness Knowl-Based Syst"},{"key":"106_CR4","first-page":"385","volume":"129","author":"J Casillas","year":"2005","unstructured":"Casillas J, Cord\u00f3n O, Herrera F, Magdalena L (2005) Accuracy improvements in linguistic fuzzy modeling. Stud Fuzziness Soft Comput 129: 385","journal-title":"Stud Fuzziness Soft Comput"},{"issue":"1","key":"106_CR5","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1109\/TFUZZ.2004.839670","volume":"13","author":"J Casillas","year":"2005","unstructured":"Casillas J, Cord\u00f3n O, del Jesus MJ, Herrera F (2005) Genetic tuning of fuzzy rule deep structures preserving interpretability and its interaction with fuzzy rule set reduction. IEEE Trans Fuzzy Syst 13(1): 13\u201329","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"5","key":"106_CR6","doi-asserted-by":"crossref","first-page":"631","DOI":"10.1109\/TFUZZ.2004.834818","volume":"12","author":"P Carmona","year":"2004","unstructured":"Carmona P, Castro J, Zurita J (2004) Strategies to identify fuzzy rules directly from certainty degrees: a comparison and a proposal. IEEE Trans Fuzzy Sys 12(5): 631\u2013640","journal-title":"IEEE Trans Fuzzy Sys"},{"issue":"4","key":"106_CR7","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1016\/S0888-613X(96)00133-8","volume":"17","author":"O Cord\u00f3n","year":"1997","unstructured":"Cord\u00f3n O, Herrera F (1997) A three-stage evolutionary process for learning descriptive and approximate fuzzy logic controller knowledge bases from examples. Int J Approx Reason 17(4): 369\u2013407","journal-title":"Int J Approx Reason"},{"issue":"1","key":"106_CR8","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/0165-0114(95)00367-3","volume":"86","author":"O Cord\u00f3n","year":"1997","unstructured":"Cord\u00f3n O, Herrera F, Peregr\u00edn A (1997) Applicability of the fuzzy operators in the design of fuzzy logic controllers. Fuzzy Sets Syst 86(1): 15\u201341","journal-title":"Fuzzy Sets Syst"},{"key":"106_CR9","doi-asserted-by":"crossref","first-page":"1025","DOI":"10.1002\/(SICI)1098-111X(199810\/11)13:10\/11<1025::AID-INT9>3.0.CO;2-N","volume":"13","author":"O Cord\u00f3n","year":"1998","unstructured":"Cord\u00f3n O, del Jesus MJ, Herrera F (1998) Genetic learning of fuzzy rule-based classification systems cooperating with fuzzy reasoning methods. Int J Intell Syst 13: 1025\u20131053","journal-title":"Int J Intell Syst"},{"key":"106_CR10","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1023\/A:1008384630089","volume":"10","author":"O Cord\u00f3n","year":"1999","unstructured":"Cord\u00f3n O, Herrera F, S\u00e1nchez L (1999) Solving electrical distribution problems using hybrid evolutionary data analysis techniques. Appl Intell 10: 5\u201324","journal-title":"Appl Intell"},{"issue":"3","key":"106_CR11","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1109\/91.855921","volume":"8","author":"O Cord\u00f3n","year":"2000","unstructured":"Cord\u00f3n O, Herrera F (2000) A proposal for improving the accuracy of linguistic modeling. IEEE Trans Fuzzy Syst 8(3): 335\u2013344","journal-title":"IEEE Trans Fuzzy Syst"},{"issue":"4","key":"106_CR12","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1109\/91.940977","volume":"9","author":"O Cord\u00f3n","year":"2001","unstructured":"Cord\u00f3n O, Herrera F, Villar P (2001) Generating the knowledge base of a fuzzy rule-based system by the genetic learning of the data base. IEEE Trans Fuzzy Syst 9(4): 667\u2013674","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"106_CR13","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 World Scientific, Singapore, 488","DOI":"10.1142\/4177"},{"issue":"1","key":"106_CR14","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1016\/S0165-0114(03)00111-8","volume":"41","author":"O Cord\u00f3n","year":"2004","unstructured":"Cord\u00f3n O, Gomide F, Herrera F, Hoffmann F, Magdalena L (2004) Ten years of genetic fuzzy systems: current framework and new trends. Fuzzy Sets Systems 41(1): 5\u201331","journal-title":"Fuzzy Sets Systems"},{"key":"106_CR15","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, Rawlin G (Ed.) Morgan Kaufman, 265\u2013283","DOI":"10.1016\/B978-0-08-050684-5.50020-3"},{"key":"106_CR16","first-page":"372","volume-title":"Genetic algorithms in search, optimization, and machine learning","author":"DE Goldberg","year":"1989","unstructured":"Goldberg DE (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, New York, P 372"},{"key":"106_CR17","first-page":"1991","volume":"104","author":"AF G\u00f3mez-Skarmeta","year":"1999","unstructured":"G\u00f3mez-Skarmeta AF, Jim\u00e9nez F (1999) Fuzzy modeling with hybrid systems. Fuzzy Sets Syste 104: 1991\u2013208","journal-title":"Fuzzy Sets Syste"},{"issue":"3","key":"106_CR18","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1142\/S0218488599000192","volume":"7","author":"A Gonz\u00e1lez","year":"1999","unstructured":"Gonz\u00e1lez A, P\u00e9rez R (1999) A study about the inclusion of linguistic hedges in a fuzzy rule learning algorithm. Int J Uncertain Fuzziness Knowl-Based Syst 7(3): 257\u2013266","journal-title":"Int J Uncertain Fuzziness Knowl-Based Syst"},{"issue":"1","key":"106_CR19","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/S0165-0114(97)00309-6","volume":"108","author":"HB G\u00fcrocak","year":"1999","unstructured":"G\u00fcrocak HB (1999) A genetic-algorithm-based method for tuning fuzzy logic controllers. Fuzzy Sets Syst 108(1): 39\u201347","journal-title":"Fuzzy Sets Syst"},{"issue":"2","key":"106_CR20","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1016\/S0165-0114(98)00246-2","volume":"115","author":"HB G\u00fcrocak","year":"2000","unstructured":"G\u00fcrocak HB (2000) Tuning fuzzy logic controllers using response envelope method. Fuzzy Sets Syst 115(2): 287\u2013304","journal-title":"Fuzzy Sets Syst"},{"key":"106_CR21","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1016\/0888-613X(94)00033-Y","volume":"12","author":"F Herrera","year":"1995","unstructured":"Herrera F, Lozano M, Verdegay JL (1995) Tuning fuzzy logic controllers by genetic algorithms. Int J Approx Reason 12: 299\u2013315","journal-title":"Int J Approx Reason"},{"key":"106_CR22","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/S0165-0114(97)00043-2","volume":"100","author":"F Herrera","year":"1998","unstructured":"Herrera F, Lozano M, Verdegay JL (1998) A learning process for fuzzy control rules using genetic algorithms. Fuzzy Sets Syst 100: 143\u2013158","journal-title":"Fuzzy Sets Syst"},{"issue":"6","key":"106_CR23","doi-asserted-by":"crossref","first-page":"746","DOI":"10.1109\/91.890332","volume":"8","author":"F Herrera","year":"2000","unstructured":"Herrera F, Mart\u00ednez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8(6): 746\u2013752","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"106_CR24","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1002\/int.10091","volume":"18","author":"F Herrera","year":"2003","unstructured":"Herrera F, Lozano M, S\u00e1nchez AM (2003) A taxonomy for the crossover operator for real-coded genetic algorithms: an experimental study. Int J Intell Syst 18: 309\u2013338","journal-title":"Int J Intell Syst"},{"key":"106_CR25","first-page":"228","volume-title":"Adaptation in natural and systems","author":"JH Holland","year":"1975","unstructured":"Holland JH (1975) Adaptation in natural and systems. The University of Michigan Press, London, p 228"},{"issue":"2","key":"106_CR26","first-page":"139","volume":"3","author":"TP Hong","year":"1999","unstructured":"Hong TP, Lee CY (1999) Effect of merging order on performance of fuzzy induction. Intell Data Anal 3(2): 139\u2013151","journal-title":"Intell Data Anal"},{"issue":"3","key":"106_CR27","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":"3","key":"106_CR28","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1016\/0165-0114(95)00413-0","volume":"86","author":"K Nozaki","year":"1997","unstructured":"Nozaki K, Ishibuchi H, Tanaka H (1997) A simple but powerful heuristic method for generating fuzzy rules from numerical data. Fuzzy Sets Syst 86(3): 251\u2013270","journal-title":"Fuzzy Sets Syst"},{"issue":"2","key":"106_CR29","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"},{"key":"106_CR30","doi-asserted-by":"crossref","unstructured":"Ishibuchi H, Yamamoto T (2003) Trade-off between the number of fuzzy rules and their classification performance. In: Accuracy improvements in linguistic fuzzy modeling, Casillas J, Cord\u00f3n O, Herrera F, Magdalena L, (eds) Springer Heidelberg, Germany, pp 72\u201399","DOI":"10.1007\/978-3-540-37058-1_4"},{"issue":"3","key":"106_CR31","doi-asserted-by":"crossref","first-page":"665","DOI":"10.1109\/21.256541","volume":"23","author":"JSR Jang","year":"1993","unstructured":"Jang JSR (1993) ANFIS: adaptive network based fuzzy inference system. IEEE Trans Syst. Man Cyber 23(3): 665\u2013684","journal-title":"IEEE Trans Syst. Man Cyber"},{"issue":"2","key":"106_CR32","first-page":"26","volume":"6","author":"C Karr","year":"1991","unstructured":"Karr C (1991) Genetic algorithms for fuzzy controllers. AI Expert 6(2): 26\u201333","journal-title":"AI Expert"},{"key":"106_CR33","unstructured":"Klose A, Nurnberger A, Nauck D (1998) Some approaches to improve the interpretability of neuro-fuzzy classifiers. In: Proceeding of the 6th European congress on intelligent techniques and soft computing Vol 1, pp 629\u2013633"},{"key":"106_CR34","unstructured":"Krone A, Krause H, Slawinski T (2001) A new rule reduction method for finding interpretable and small rule bases in high dimensional search spaces. In: Proceeding of the 9th IEEE international conference on fuzzy syst, Vol 2, pp 693\u2013699"},{"issue":"3","key":"106_CR35","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/S0165-0114(00)00112-3","volume":"123","author":"A Krone","year":"2001","unstructured":"Krone A, Taeger H (2001) Data-based fuzzy rule test for fuzzy modelling. Fuzzy Sets Syst 123(3): 343\u2013358","journal-title":"Fuzzy Sets Syst"},{"issue":"1","key":"106_CR36","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1109\/3477.907563","volume":"31","author":"BD Liu","year":"2001","unstructured":"Liu BD, Chen CY, Tsao JY (2001) Design of adaptive fuzzy logic controller based on linguistic-hedge concepts and genetic algorithms. IEEE Trans Syst, Man Cybern. Part B: Cybern 31(1): 32\u201353","journal-title":"IEEE Trans Syst, Man Cybern. Part B: Cybern"},{"issue":"12","key":"106_CR37","first-page":"1585","volume":"121","author":"EH Mamdani","year":"1974","unstructured":"Mamdani EH (1974) Application of fuzzy algorithms for control of simple dynamic plant. Proc. IEEE 121(12): 1585\u20131588","journal-title":"Proc. IEEE"},{"key":"106_CR38","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0020-7373(75)80002-2","volume":"7","author":"EH Mamdani","year":"1975","unstructured":"Mamdani EH, Assilian S (1975) An experiment in linguistic synthesis with a fuzzy logic controller. Int J Man-Mach Stud 7: 1\u201313","journal-title":"Int J Man-Mach Stud"},{"issue":"4","key":"106_CR39","doi-asserted-by":"crossref","first-page":"516","DOI":"10.1109\/91.940965","volume":"9","author":"JA Roubos","year":"2001","unstructured":"Roubos JA, Setnes M (2001) Compact and transparent fuzzy models and classifiers through iterative complexity reduction. IEEE Trans on Fuzzy Syst 9(4): 516\u2013524","journal-title":"IEEE Trans on Fuzzy Syst"},{"issue":"3","key":"106_CR40","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 Cyber - Part B: Cybern 28(3): 376\u2013386","journal-title":"IEEE Trans Syst, Man Cyber - Part B: Cybern"},{"issue":"5","key":"106_CR41","doi-asserted-by":"crossref","first-page":"509","DOI":"10.1109\/91.873575","volume":"8","author":"M Setnes","year":"2000","unstructured":"Setnes M, Roubos JA (2000) GA-fuzzy modeling and classification: complexity and performance. IEEE Trans Fuzzy Syst 8(5): 509\u2013522","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"106_CR42","unstructured":"Wang LX, Mendel JM (1992) Generating fuzzy rules by learning from examples. IEEE Trans Syst, Man Cybern 22:6, (1992) 1414\u20131427."},{"key":"106_CR43","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1109\/91.755394","volume":"7","author":"Y Yam","year":"1999","unstructured":"Yam Y, Baranyi P, Yang CT (1999) Reduction of fuzzy rule base via singular value decomposition. IEEE Trans Fuzzy Syst 7:120\u2013132","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"106_CR44","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 Transa Syst, Man Cybern Part B: Cybern 29: 13\u201324","journal-title":"IEEE Transa Syst, Man Cybern Part B: Cybern"},{"key":"106_CR45","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh LA (1965) Fuzzy sets. Info Control 8: 338\u2013353","journal-title":"Info Control"},{"key":"106_CR46","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1109\/TSMC.1973.5408575","volume":"3","author":"LA Zadeh","year":"1973","unstructured":"Zadeh LA (1973) Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans Syst, Man Cybern 3:28\u201344","journal-title":"IEEE Trans Syst, Man Cybern"},{"key":"106_CR47","doi-asserted-by":"crossref","unstructured":"Zadeh LA (1975) The concept of a linguistic variable and its applications to approximate reasoning, parts I, II and III. Inf Sci 8:199\u2013249, 301\u2013357, 9:43\u201380","DOI":"10.1016\/0020-0255(75)90017-1"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-006-0106-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00500-006-0106-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-006-0106-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T01:39:48Z","timestamp":1559093988000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00500-006-0106-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,6,10]]},"references-count":47,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2006,12,15]]}},"alternative-id":["106"],"URL":"https:\/\/doi.org\/10.1007\/s00500-006-0106-2","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,6,10]]}}}