Skip to main content
Erschienen in: Evolutionary Intelligence 1/2008

01.03.2008 | Review Article

Genetic fuzzy systems: taxonomy, current research trends and prospects

verfasst von: Francisco Herrera

Erschienen in: Evolutionary Intelligence | Ausgabe 1/2008

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The use of genetic algorithms for designing fuzzy systems provides them with the learning and adaptation capabilities and is called genetic fuzzy systems (GFSs). This topic has attracted considerable attention in the Computation Intelligence community in the last few years. This paper gives an overview of the field of GFSs, being organized in the following four parts: (a) a taxonomy proposal focused on the fuzzy system components involved in the genetic learning process; (b) a quick snapshot of the GFSs status paying attention to the pioneer GFSs contributions, showing the GFSs visibility at ISI Web of Science including the most cited papers and pointing out the milestones covered by the books and the special issues in the topic; (c) the current research lines together with a discussion on critical considerations of the recent developments; and (d) some potential future research directions.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Alba E, Tomassini M (2002) Parallelism and evolutionary algorithms. IEEE Trans Evol Comput 6:443–462CrossRef Alba E, Tomassini M (2002) Parallelism and evolutionary algorithms. IEEE Trans Evol Comput 6:443–462CrossRef
2.
Zurück zum Zitat Alcalá R, Casillas J, Cordón O, Herrera F (2001) Building fuzzy graphs: features and taxonomy of learning non-grid-oriented fuzzy rule-based systems. Int J Intell Fuzzy Syst 11:99–119 Alcalá R, Casillas J, Cordón O, Herrera F (2001) Building fuzzy graphs: features and taxonomy of learning non-grid-oriented fuzzy rule-based systems. Int J Intell Fuzzy Syst 11:99–119
3.
Zurück zum Zitat Alcalá R, Gacto MJ, Herrera F, Alcalá-Fdez J (2007a) 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):521–537CrossRef Alcalá R, Gacto MJ, Herrera F, Alcalá-Fdez J (2007a) 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):521–537CrossRef
4.
Zurück zum Zitat Alcalá R, Alcalá-Fdez R, Herrera F, Otero J (2007b) Genetic learning of accurate and compact fuzzy rule based systems based on the 2-Tuples linguistic representation. Int J Approx Reason 44:45–64MATHCrossRef Alcalá R, Alcalá-Fdez R, Herrera F, Otero J (2007b) Genetic learning of accurate and compact fuzzy rule based systems based on the 2-Tuples linguistic representation. Int J Approx Reason 44:45–64MATHCrossRef
5.
Zurück zum Zitat Alcalá R, Alcalá-Fdez J, Gacto MJ, Herrera F (2008) 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 (in press) Alcalá R, Alcalá-Fdez J, Gacto MJ, Herrera F (2008) 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 (in press)
6.
Zurück zum Zitat Alcalá-Fdez J, Herrera F, Marquez F, Peregrin A (2007) Increasing fuzzy rules cooperation based on evolutionary adaptive inference systems. Int J Intell Syst 22(9):1035–1064MATHCrossRef Alcalá-Fdez J, Herrera F, Marquez F, Peregrin A (2007) Increasing fuzzy rules cooperation based on evolutionary adaptive inference systems. Int J Intell Syst 22(9):1035–1064MATHCrossRef
7.
Zurück zum Zitat Alcalá-Fdez J, Sánchez L, García S, del Jesús MJ, Ventura S, Garrell JM, Otero J, Romero C, Bacardit J, Rivas VM, Fernández JC, Herrera F (2008) KEEL: A software tool to assess evolutionary algorithms for data mining problems. Soft Comput (in press) Alcalá-Fdez J, Sánchez L, García S, del Jesús MJ, Ventura S, Garrell JM, Otero J, Romero C, Bacardit J, Rivas VM, Fernández JC, Herrera F (2008) KEEL: A software tool to assess evolutionary algorithms for data mining problems. Soft Comput (in press)
8.
Zurück zum Zitat Au W-H, Chan KCC, Wong AKC (2006) A fuzzy approach to partitioning continuous attributes for classification. IEEE Trans Knowl Data Eng 18(5):715–719CrossRef Au W-H, Chan KCC, Wong AKC (2006) A fuzzy approach to partitioning continuous attributes for classification. IEEE Trans Knowl Data Eng 18(5):715–719CrossRef
9.
Zurück zum Zitat Berlanga FJ, del Jesus MJ, González P, Herrera F, Mesonero M (2006) Multiobjective evolutionary induction of subgroup discovery fuzzy rules: a case study in marketing. In: 6th industrial conference on data mining (ICDM 2006), Leipzig, Germany, Lecture Notes in Computer Science 4065, Springer, Heidelberg, pp 337–349 Berlanga FJ, del Jesus MJ, González P, Herrera F, Mesonero M (2006) Multiobjective evolutionary induction of subgroup discovery fuzzy rules: a case study in marketing. In: 6th industrial conference on data mining (ICDM 2006), Leipzig, Germany, Lecture Notes in Computer Science 4065, Springer, Heidelberg, pp 337–349
10.
Zurück zum Zitat Bernadó-Mansilla E, Garrell-Guiu JM (2003) Accuracy-Based Learning Classifier Systems: Models, Analysis and Applications to Classification Tasks. Evol Comput 11(3):209–238CrossRef Bernadó-Mansilla E, Garrell-Guiu JM (2003) Accuracy-Based Learning Classifier Systems: Models, Analysis and Applications to Classification Tasks. Evol Comput 11(3):209–238CrossRef
11.
Zurück zum Zitat Botta A, Lazzerini B and Marcelloni F (2006) Context adaptation of Mamdani fuzzy systems through new operators tuned by a genetic algorithm. In Proceedings of the 2006 IEEE international conference on fuzzy systems (FUZZ-IEEE’06), Vancouver, Canada, pp 7832–7839 Botta A, Lazzerini B and Marcelloni F (2006) Context adaptation of Mamdani fuzzy systems through new operators tuned by a genetic algorithm. In Proceedings of the 2006 IEEE international conference on fuzzy systems (FUZZ-IEEE’06), Vancouver, Canada, pp 7832–7839
12.
Zurück zum Zitat Botta A, Lazzerini B, Marcelloni F and Stefanescu DC (2007) Exploiting fuzzy ordering relations to preserve interpretability in context adaptation of fuzzy systems. In: Proceedings of the 2007 IEEE international conference on fuzzy systems (FUZZ-IEEE’07), London, pp 1137–1142 Botta A, Lazzerini B, Marcelloni F and Stefanescu DC (2007) Exploiting fuzzy ordering relations to preserve interpretability in context adaptation of fuzzy systems. In: Proceedings of the 2007 IEEE international conference on fuzzy systems (FUZZ-IEEE’07), London, pp 1137–1142
13.
Zurück zum Zitat Cano JR, Herrera F, Lozano M (2007) Evolutionary stratified training set selection for extracting classification rules with trade-off precision-interpretability. Data Knowl Eng 60:90–108CrossRef Cano JR, Herrera F, Lozano M (2007) Evolutionary stratified training set selection for extracting classification rules with trade-off precision-interpretability. Data Knowl Eng 60:90–108CrossRef
14.
Zurück zum Zitat Carse B, Fogarty TC, Munro A (1996) Evolving fuzzy rule based controllers using genetic algorithms. Fuzzy Sets Syst 80(3):273–293CrossRef Carse B, Fogarty TC, Munro A (1996) Evolving fuzzy rule based controllers using genetic algorithms. Fuzzy Sets Syst 80(3):273–293CrossRef
15.
Zurück zum Zitat Casillas J, Carse B, Bull L (2007) Fuzzy-XCS: A Michigan genetic fuzzy system. IEEE Trans Fuzzy Syst 15(4):536–550CrossRef Casillas J, Carse B, Bull L (2007) Fuzzy-XCS: A Michigan genetic fuzzy system. IEEE Trans Fuzzy Syst 15(4):536–550CrossRef
16.
Zurück zum Zitat Casillas J, Cordón O, Herrera F, del Jesus MJ (2001) Genetic feature selection in a fuzzy rule-based classification system learning process for high-dimensional problems. Inf Sci 136(1–4):135–157MATHCrossRef Casillas J, Cordón O, Herrera F, del Jesus MJ (2001) Genetic feature selection in a fuzzy rule-based classification system learning process for high-dimensional problems. Inf Sci 136(1–4):135–157MATHCrossRef
17.
Zurück zum Zitat Casillas J, Cordón O, del Jesus MJ, Herrera F (2005) Genetic tuning of fuzzy rule deep structures preserving interpretability for linguistic modeling. IEEE Trans Fuzzy Syst 13(1):13–29CrossRef Casillas J, Cordón O, del Jesus MJ, Herrera F (2005) Genetic tuning of fuzzy rule deep structures preserving interpretability for linguistic modeling. IEEE Trans Fuzzy Syst 13(1):13–29CrossRef
18.
Zurück zum Zitat Casillas J, Cordón O, Herrera F, Magdalena L (Eds) (2003a) Accuracy improvements in linguistic fuzzy modelling. Springer, Berlin Casillas J, Cordón O, Herrera F, Magdalena L (Eds) (2003a) Accuracy improvements in linguistic fuzzy modelling. Springer, Berlin
19.
Zurück zum Zitat Casillas J, Cordón O, Herrera F, Magdalena L (Eds) (2003b) Interpretability issues in fuzzy modelling. Springer, Berlin Casillas J, Cordón O, Herrera F, Magdalena L (Eds) (2003b) Interpretability issues in fuzzy modelling. Springer, Berlin
20.
Zurück zum Zitat Casillas J, Martínez P (2007) Consistent, complete and compact generation of DNF-type fuzzy rules by a Pittsburgh-style genetic algorithm. In: Proceedings of the 2007 IEEE international conference on fuzzy systems (FUZZ-IEEE’07), London, pp 1745–1750 Casillas J, Martínez P (2007) Consistent, complete and compact generation of DNF-type fuzzy rules by a Pittsburgh-style genetic algorithm. In: Proceedings of the 2007 IEEE international conference on fuzzy systems (FUZZ-IEEE’07), London, pp 1745–1750
21.
Zurück zum Zitat 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(11):1013–1031CrossRef 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(11):1013–1031CrossRef
22.
Zurück zum Zitat Cherkassky V, Mulier F (1998) Learning from data: concepts, theory and methods. Wiley, New YorkMATH Cherkassky V, Mulier F (1998) Learning from data: concepts, theory and methods. Wiley, New YorkMATH
23.
Zurück zum Zitat Coello CA, Van Veldhuizen DA, Lamont GB (2002) Evolutionary algorithms for solving multi-objective problems, Kluwer Coello CA, Van Veldhuizen DA, Lamont GB (2002) Evolutionary algorithms for solving multi-objective problems, Kluwer
24.
Zurück zum Zitat Cordón O, del Jesús MJ, Herrera F, Lozano M (1999) MOGUL: a methodology to obtain genetic fuzzy rule-based systems under the iterative rule learning approach. Int J Intell Syst 14:123–1153CrossRef Cordón O, del Jesús MJ, Herrera F, Lozano M (1999) MOGUL: a methodology to obtain genetic fuzzy rule-based systems under the iterative rule learning approach. Int J Intell Syst 14:123–1153CrossRef
25.
Zurück zum Zitat Cordón O, Gomide F, Herrera F, Hoffmann F, Magdalena L (2004) Ten years of genetic fuzzy systems: current framework and new trends. Fuzzy Sets Syst 141:5–31MATHCrossRef Cordón O, Gomide F, Herrera F, Hoffmann F, Magdalena L (2004) Ten years of genetic fuzzy systems: current framework and new trends. Fuzzy Sets Syst 141:5–31MATHCrossRef
26.
Zurück zum Zitat Cordón 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):369–407MATHCrossRef Cordón 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):369–407MATHCrossRef
27.
Zurück zum Zitat Cordón O, Herrera F, Hoffmann F, Magdalena L (2001) Genetic fuzzy systems. Evolutionary tuning and learning of fuzzy knowledge bases. World Scientific, SingaporeMATH Cordón O, Herrera F, Hoffmann F, Magdalena L (2001) Genetic fuzzy systems. Evolutionary tuning and learning of fuzzy knowledge bases. World Scientific, SingaporeMATH
28.
Zurück zum Zitat Cordón O, Herrera F, Villar P (2000) Analysis and guidelines to obtain a good fuzzy partition granularity for fuzzy rule-based systems using simulated annealing. Int J Approx Reason 25(3):187–215MATHCrossRef Cordón O, Herrera F, Villar P (2000) Analysis and guidelines to obtain a good fuzzy partition granularity for fuzzy rule-based systems using simulated annealing. Int J Approx Reason 25(3):187–215MATHCrossRef
29.
Zurück zum Zitat Cordón O, Herrera F, Magdalena L, Villar P (2001a) A genetic learning process for the scaling factors, granularity and contexts of the fuzzy rule-based system data base. Inf Sci 136:85–107MATHCrossRef Cordón O, Herrera F, Magdalena L, Villar P (2001a) A genetic learning process for the scaling factors, granularity and contexts of the fuzzy rule-based system data base. Inf Sci 136:85–107MATHCrossRef
30.
Zurück zum Zitat Cordón O, Herrera F, Villar P (2001b) Generating the knowledge base of a fuzzy rule-based system by the genetic learning of data base. IEEE Trans Fuzzy Syst 9(4):667–674CrossRef Cordón O, Herrera F, Villar P (2001b) Generating the knowledge base of a fuzzy rule-based system by the genetic learning of data base. IEEE Trans Fuzzy Syst 9(4):667–674CrossRef
31.
Zurück zum Zitat Crockett KA, Bandar Z, Fowdar J, O’Shea J (2006) Genetic tuning of fuzzy inference within fuzzy classifier systems. Expert Syst Appl 23:63–82CrossRef Crockett KA, Bandar Z, Fowdar J, O’Shea J (2006) Genetic tuning of fuzzy inference within fuzzy classifier systems. Expert Syst Appl 23:63–82CrossRef
32.
Zurück zum Zitat Crockett K, Bandar Z, Mclean D (2007) On the optimization of T-norm parameters within fuzzy decision trees. In: IEEE international conference on fuzzy systems (FUZZ-IEEE’07), London, pp 103–108 Crockett K, Bandar Z, Mclean D (2007) On the optimization of T-norm parameters within fuzzy decision trees. In: IEEE international conference on fuzzy systems (FUZZ-IEEE’07), London, pp 103–108
33.
Zurück zum Zitat Deb K (2001) Multi-objective optimization using evolutionary algorithms.Wiley, New York Deb K (2001) Multi-objective optimization using evolutionary algorithms.Wiley, New York
34.
Zurück zum Zitat Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182–197CrossRef Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans Evol Comput 6(2):182–197CrossRef
35.
Zurück zum Zitat De Jong KA, Spears WM, Gordon DF (1993) Using genetic algorithms for concept learning. Mach Learn 13:161–188CrossRef De Jong KA, Spears WM, Gordon DF (1993) Using genetic algorithms for concept learning. Mach Learn 13:161–188CrossRef
36.
Zurück zum Zitat del Jesus MJ, González P, Herrera F, Mesonero M (2007) Evolutionary fuzzy rule induction process for subgroup discovery: a case study in marketing. IEEE Trans Fuzzy Syst 15(4):578–592CrossRef del Jesus MJ, González P, Herrera F, Mesonero M (2007) Evolutionary fuzzy rule induction process for subgroup discovery: a case study in marketing. IEEE Trans Fuzzy Syst 15(4):578–592CrossRef
37.
Zurück zum Zitat Demsar J (2006) Statistical comparison of classifiers over multiple data sets. J Mach Learn Res 7:1–30MathSciNet Demsar J (2006) Statistical comparison of classifiers over multiple data sets. J Mach Learn Res 7:1–30MathSciNet
38.
Zurück zum Zitat Diettereich T (1998) Approximate statistical tests for comparing supervised classification learning algorithms. Neural Comput 10:1895–1924CrossRef Diettereich T (1998) Approximate statistical tests for comparing supervised classification learning algorithms. Neural Comput 10:1895–1924CrossRef
39.
Zurück zum Zitat Dubois D, Prade H, Sudkamp T (2005) On the representation, measurement, and discovery of fuzzy associations. IEEE Trans Fuzzy Syst 13:250–262CrossRef Dubois D, Prade H, Sudkamp T (2005) On the representation, measurement, and discovery of fuzzy associations. IEEE Trans Fuzzy Syst 13:250–262CrossRef
40.
Zurück zum Zitat Eiben AE, Smith JE (2003) Introduction to evolutionary computation. Springer, Berlin Eiben AE, Smith JE (2003) Introduction to evolutionary computation. Springer, Berlin
41.
Zurück zum Zitat Fayyad U, Piatesky-Shapiro G, Smyth P (1996) From data mining from knowledge discovery in databases. In: Fayyad UM, Piatetsky-Shapiro G, Smyth P, Uthurusamy R (eds) Advances in knowledge discovery & data mining, AAAI/MIT, pp 1–34 Fayyad U, Piatesky-Shapiro G, Smyth P (1996) From data mining from knowledge discovery in databases. In: Fayyad UM, Piatetsky-Shapiro G, Smyth P, Uthurusamy R (eds) Advances in knowledge discovery & data mining, AAAI/MIT, pp 1–34
42.
Zurück zum Zitat Freitas AA (2002) Data mining and knowledge discovery with evolutionary algorithms. Springer, BerlinMATH Freitas AA (2002) Data mining and knowledge discovery with evolutionary algorithms. Springer, BerlinMATH
43.
Zurück zum Zitat Geyer-Schulz A (1995) Fuzzy rule-based expert systems and genetic machine learning. Physica-Verlag, Berlin Geyer-Schulz A (1995) Fuzzy rule-based expert systems and genetic machine learning. Physica-Verlag, Berlin
44.
Zurück zum Zitat Giordana A, Neri F (1995) Search-intensive concept induction. Evol Comput 3:375–416 Giordana A, Neri F (1995) Search-intensive concept induction. Evol Comput 3:375–416
45.
Zurück zum Zitat Goldberg DE (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, ReadingMATH Goldberg DE (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley, ReadingMATH
46.
Zurück zum Zitat González A, Pérez R (1999) SLAVE: A genetic learning system based on an iterative approach. IEEE Trans Fuzzy Syst 27:176–191CrossRef González A, Pérez R (1999) SLAVE: A genetic learning system based on an iterative approach. IEEE Trans Fuzzy Syst 27:176–191CrossRef
47.
Zurück zum Zitat González A, Pérez R (2001) Selection of relevant features in a fuzzy genetic learning algorithm. IEEE Trans Syst Man Cybern B Cybern 31(3):417–425CrossRef González A, Pérez R (2001) Selection of relevant features in a fuzzy genetic learning algorithm. IEEE Trans Syst Man Cybern B Cybern 31(3):417–425CrossRef
48.
Zurück zum Zitat González A, Pérez R (2006) An analysis of the scalability of an embedded feature selection model for classification problems. In: Proceedings of eleventh international conference on information processing and management of uncertainty in knowledge-based systems (IPMU’06), Paris, pp 1949–1956 González A, Pérez R (2006) An analysis of the scalability of an embedded feature selection model for classification problems. In: Proceedings of eleventh international conference on information processing and management of uncertainty in knowledge-based systems (IPMU’06), Paris, pp 1949–1956
49.
Zurück zum Zitat Greene DP, Smith SF (1993) Competition-based induction of decision models from examples. Mach Learn 3:229–257CrossRef Greene DP, Smith SF (1993) Competition-based induction of decision models from examples. Mach Learn 3:229–257CrossRef
50.
Zurück zum Zitat Gudwin RR, Gomide FAC, Pedrycz W (1998) Context adaptation in fuzzy processing and genetic algorithms. Int J Intell Syst 13(10–11):929–948CrossRef Gudwin RR, Gomide FAC, Pedrycz W (1998) Context adaptation in fuzzy processing and genetic algorithms. Int J Intell Syst 13(10–11):929–948CrossRef
51.
Zurück zum Zitat Han J, Cheng H, Xin D, Yan X (2007) Frequent pattern mining: current status and future directions. Data Mining Knowl Discov 15(1):55–86CrossRefMathSciNet Han J, Cheng H, Xin D, Yan X (2007) Frequent pattern mining: current status and future directions. Data Mining Knowl Discov 15(1):55–86CrossRefMathSciNet
52.
Zurück zum Zitat Herrera F (2005) Genetic fuzzy systems: Status, critical considerations and future directions. Int J Comput Intell Res 1(1):59–67 Herrera F (2005) Genetic fuzzy systems: Status, critical considerations and future directions. Int J Comput Intell Res 1(1):59–67
53.
Zurück zum Zitat Herrera F, Lozano M, Verdegay JL (1995) Tuning fuzzy-logic controllers by genetic algorithms. Int J Approx Reason 12(3–4):299–315MATHCrossRefMathSciNet Herrera F, Lozano M, Verdegay JL (1995) Tuning fuzzy-logic controllers by genetic algorithms. Int J Approx Reason 12(3–4):299–315MATHCrossRefMathSciNet
54.
Zurück zum Zitat Herrera F, Lozano M, Verdegay JL (1998) A learning process for fuzzy control rules using genetic algorithms. Fuzzy Sets Syst 100:143–151CrossRef Herrera F, Lozano M, Verdegay JL (1998) A learning process for fuzzy control rules using genetic algorithms. Fuzzy Sets Syst 100:143–151CrossRef
55.
Zurück zum Zitat Homaifar A, Mccormick E (1995) Simultaneous design of membership functions and rule sets for fuzzy controllers using genetic algorithms. IEEE Trans Fuzzy Syst 3(2):129–139CrossRef Homaifar A, Mccormick E (1995) Simultaneous design of membership functions and rule sets for fuzzy controllers using genetic algorithms. IEEE Trans Fuzzy Syst 3(2):129–139CrossRef
56.
Zurück zum Zitat Hoffmann F, Schauten D, Hölemann S (2007) Incremental evolutionary design of TSK fuzzy controllers. IEEE Trans Fuzzy Syst 15(4):563–577CrossRef Hoffmann F, Schauten D, Hölemann S (2007) Incremental evolutionary design of TSK fuzzy controllers. IEEE Trans Fuzzy Syst 15(4):563–577CrossRef
57.
Zurück zum Zitat Holland JH (1975) Adaptatioon in natural and artificial systems. University of Michigan Press, Ann Arbor Holland JH (1975) Adaptatioon in natural and artificial systems. University of Michigan Press, Ann Arbor
58.
Zurück zum Zitat Holland JH, Reitman JS (1978) Cognitive systems based on adaptive algorithms. In: Waterman DA, Hayes-Roth F (eds) Patter-directed inference systems. Academic Press, London Holland JH, Reitman JS (1978) Cognitive systems based on adaptive algorithms. In: Waterman DA, Hayes-Roth F (eds) Patter-directed inference systems. Academic Press, London
59.
Zurück zum Zitat Hong TP, Chen CH, Wu YL et al (2006) A GA-based fuzzy mining approach to achieve a trade-off between number of rules and suitability of membership functions. Soft Comput 10(11):1091–1101CrossRef Hong TP, Chen CH, Wu YL et al (2006) A GA-based fuzzy mining approach to achieve a trade-off between number of rules and suitability of membership functions. Soft Comput 10(11):1091–1101CrossRef
60.
Zurück zum Zitat Hüllermeier E (2005) Fuzzy methods in machine learning and data mining: Status and prospects. Fuzzy Sets Syst 156(3):387–406CrossRef Hüllermeier E (2005) Fuzzy methods in machine learning and data mining: Status and prospects. Fuzzy Sets Syst 156(3):387–406CrossRef
61.
Zurück zum Zitat Ishibuchi H (2007) Multiobjective genetic fuzzy systems: review and future research directions. In: Proceedings of the 2007 IEEE international conference on fuzzy systems (FUZZ-IEEE’07), London, pp 913–918 Ishibuchi H (2007) Multiobjective genetic fuzzy systems: review and future research directions. In: Proceedings of the 2007 IEEE international conference on fuzzy systems (FUZZ-IEEE’07), London, pp 913–918
62.
Zurück zum Zitat Ishibuchi H, Murata T, Turksen IB (1997) Single-objective and two-objective genetic algorithms for selecting linguistic rules for pattern classification problems. Fuzzy Sets Syst 8(2):135–150CrossRef Ishibuchi H, Murata T, Turksen IB (1997) Single-objective and two-objective genetic algorithms for selecting linguistic rules for pattern classification problems. Fuzzy Sets Syst 8(2):135–150CrossRef
63.
Zurück zum Zitat Ishibuchi H, Nakashima T, Murata T (1999) Performance evaluation of fuzzy classifier systems for multidimensional pattern classification problems. IEEE Trans Syst Man Cybern B Cybern 29(5):601–618CrossRef Ishibuchi H, Nakashima T, Murata T (1999) Performance evaluation of fuzzy classifier systems for multidimensional pattern classification problems. IEEE Trans Syst Man Cybern B Cybern 29(5):601–618CrossRef
64.
Zurück zum Zitat Ishibuchi H, Nakashima T, Nii M (2004) Classification and modeling with linguistic information granules: advanced approaches to linguistic data mining. Springer, Berlin Ishibuchi H, Nakashima T, Nii M (2004) Classification and modeling with linguistic information granules: advanced approaches to linguistic data mining. Springer, Berlin
65.
Zurück zum Zitat Ishibuchi H, Nozaki K, Yamamoto N, Tanaka H (1995) Selection fuzzy IF-THEN rules for classification problems using genetic algorithms. IEEE Trans Fuzzy Syst 3(3): 260–270CrossRef Ishibuchi H, Nozaki K, Yamamoto N, Tanaka H (1995) Selection fuzzy IF-THEN rules for classification problems using genetic algorithms. IEEE Trans Fuzzy Syst 3(3): 260–270CrossRef
66.
Zurück zum Zitat 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):59–88MATHCrossRefMathSciNet 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):59–88MATHCrossRefMathSciNet
67.
Zurück zum Zitat Juang CF, Lin JY, Lin CT (2000) Genetic reinforcement learning through symbiotic evolution for fuzzy controller design. IEEE Trans Syst Man Cybern B Cybern 30(2):290–302CrossRefMathSciNet Juang CF, Lin JY, Lin CT (2000) Genetic reinforcement learning through symbiotic evolution for fuzzy controller design. IEEE Trans Syst Man Cybern B Cybern 30(2):290–302CrossRefMathSciNet
68.
Zurück zum Zitat Karr C (1991) Genetic algorithms for fuzzy controllers. AI Expert 6(2):26–33 Karr C (1991) Genetic algorithms for fuzzy controllers. AI Expert 6(2):26–33
69.
Zurück zum Zitat Kaya M (2006) Multi-objective genetic algorithm based approaches for mining optimized fuzzy association rules. Soft Comput 10(7): 578–586MATHCrossRefMathSciNet Kaya M (2006) Multi-objective genetic algorithm based approaches for mining optimized fuzzy association rules. Soft Comput 10(7): 578–586MATHCrossRefMathSciNet
70.
Zurück zum Zitat Kaya M, Alhajj R (2005) Genetic algorithm based framework for mining fuzzy association rules. Fuzzy Sets Syst 152(3): 587–601MATHCrossRefMathSciNet Kaya M, Alhajj R (2005) Genetic algorithm based framework for mining fuzzy association rules. Fuzzy Sets Syst 152(3): 587–601MATHCrossRefMathSciNet
71.
Zurück zum Zitat Kim D, Choi Y, Lee S (2002) An accurate COG defuzzifier design using Lamarckian co-adaptation of learning and evolution. Fuzzy Sets Syst 130(2):207–225MATHCrossRefMathSciNet Kim D, Choi Y, Lee S (2002) An accurate COG defuzzifier design using Lamarckian co-adaptation of learning and evolution. Fuzzy Sets Syst 130(2):207–225MATHCrossRefMathSciNet
72.
Zurück zum Zitat Klösgen W (1996) EXPLORA: a multipattern and multistrategy discovery assistant. In: Fayyad UM, Piatetsky-Shapiro G, Smyth P, Uthurusamy R (eds) Advances in knowledge discovery and data mining, MIT Press, New York, pp 249–271 Klösgen W (1996) EXPLORA: a multipattern and multistrategy discovery assistant. In: Fayyad UM, Piatetsky-Shapiro G, Smyth P, Uthurusamy R (eds) Advances in knowledge discovery and data mining, MIT Press, New York, pp 249–271
73.
Zurück zum Zitat Konar A (2005) Computational Intelligence: Principles, techniques and applications. Springer, BerlinMATH Konar A (2005) Computational Intelligence: Principles, techniques and applications. Springer, BerlinMATH
74.
Zurück zum Zitat Kovacs T (2004) Strength or accuracy: credit assignment in learning classifier systems. Springer, BerlinMATH Kovacs T (2004) Strength or accuracy: credit assignment in learning classifier systems. Springer, BerlinMATH
75.
Zurück zum Zitat Kuncheva L (2000) Fuzzy classifier design. Springer, BerlinMATH Kuncheva L (2000) Fuzzy classifier design. Springer, BerlinMATH
76.
Zurück zum Zitat Kweku-Muata, Osey-Bryson (2004) Evaluation of decision trees: a multicriteria approach. Comput Oper Res 31:1933–1945 Kweku-Muata, Osey-Bryson (2004) Evaluation of decision trees: a multicriteria approach. Comput Oper Res 31:1933–1945
77.
Zurück zum Zitat Lavrač N, Cestnik B, Gamberger D, Flach P (2004) Decision support through subgroup discovery: three case studies and the lessons learned. Mach Learn 57:115–143CrossRefMATH Lavrač N, Cestnik B, Gamberger D, Flach P (2004) Decision support through subgroup discovery: three case studies and the lessons learned. Mach Learn 57:115–143CrossRefMATH
78.
Zurück zum Zitat Magdalena L (1997) Adapting the gain of an FLC with genetic algorithms. Int J Approx Reason 17(4):327–349MATHCrossRef Magdalena L (1997) Adapting the gain of an FLC with genetic algorithms. Int J Approx Reason 17(4):327–349MATHCrossRef
79.
Zurück zum Zitat Mamdani EH (1974) Applications of fuzzy algorithm for control a simple dynamic plant. Proc IEEE 121(12):1585–1588 Mamdani EH (1974) Applications of fuzzy algorithm for control a simple dynamic plant. Proc IEEE 121(12):1585–1588
80.
Zurück zum Zitat Márquez FA, Peregrín A, Herrera F (2007) Cooperative evolutionary learning of linguistic fuzzy rules and parametric aggregation connectors for Mamdani fuzzy systems. IEEE Trans Fuzzy Syst 15(6):1168–1178CrossRef Márquez FA, Peregrín A, Herrera F (2007) Cooperative evolutionary learning of linguistic fuzzy rules and parametric aggregation connectors for Mamdani fuzzy systems. IEEE Trans Fuzzy Syst 15(6):1168–1178CrossRef
81.
Zurück zum Zitat Mikut R, Jäkel J, Gröll L (2005) Interpretability issues in data-based learning of fuzzy systems. Fuzzy Sets Syst 150:179–197MATHCrossRef Mikut R, Jäkel J, Gröll L (2005) Interpretability issues in data-based learning of fuzzy systems. Fuzzy Sets Syst 150:179–197MATHCrossRef
82.
Zurück zum Zitat Moriarty DE, Miikkulainen R (1996) Efficient reinforcement learning through symbiotic evolution. Mach Learn 22:11–32 Moriarty DE, Miikkulainen R (1996) Efficient reinforcement learning through symbiotic evolution. Mach Learn 22:11–32
83.
Zurück zum Zitat Nojima Y, Kuwajima I, Ishibuchi H (2007) Data set subdivision for parallel distribution implementation of genetic fuzzy rule selection. In: IEEE international conference on fuzzy systems (FUZZ-IEEE’07), London, pp 2006–2011 Nojima Y, Kuwajima I, Ishibuchi H (2007) Data set subdivision for parallel distribution implementation of genetic fuzzy rule selection. In: IEEE international conference on fuzzy systems (FUZZ-IEEE’07), London, pp 2006–2011
84.
Zurück zum Zitat Orriols-Puig A, Casillas J, Bernadó-Mansilla E (2007) Fuzzy-UCS: preliminary results. In: 10th international workshop on learning classifier systems (IWLCS 2007), London, pp 2871–2874 Orriols-Puig A, Casillas J, Bernadó-Mansilla E (2007) Fuzzy-UCS: preliminary results. In: 10th international workshop on learning classifier systems (IWLCS 2007), London, pp 2871–2874
85.
Zurück zum Zitat Palm R, Driankov D, Hellendoorn (1997) Model based fuzzy control. Springer, BerlinMATH Palm R, Driankov D, Hellendoorn (1997) Model based fuzzy control. Springer, BerlinMATH
86.
Zurück zum Zitat Park D, Kandel A, Langholz G (1994) Genetic-based new fuzzy-reasoning models with applications to fuzzy control. IEEE Trans Syst Man Cybern 24(1):39–47CrossRef Park D, Kandel A, Langholz G (1994) Genetic-based new fuzzy-reasoning models with applications to fuzzy control. IEEE Trans Syst Man Cybern 24(1):39–47CrossRef
87.
Zurück zum Zitat Pedrycz W (Ed.) (1996) Fuzzy modelling: Paradigms and practice. Kluwer, Dordrecht Pedrycz W (Ed.) (1996) Fuzzy modelling: Paradigms and practice. Kluwer, Dordrecht
88.
Zurück zum Zitat Pham DT, Karaboga D (1991) Optimum design of fuzzy logic controllers using genetic algorithms. J Syst Eng 1:114–118 Pham DT, Karaboga D (1991) Optimum design of fuzzy logic controllers using genetic algorithms. J Syst Eng 1:114–118
89.
Zurück zum Zitat Rojas R (1996) Neural networks: a systematic introduction. Springer, Berlin Rojas R (1996) Neural networks: a systematic introduction. Springer, Berlin
90.
Zurück zum Zitat Sánchez L, Casillas J, Cordón O, del Jesus MJ (2001) Some relationships between fuzzy and random classifiers and models. Int J Approx Reason 29:175–213CrossRef Sánchez L, Casillas J, Cordón O, del Jesus MJ (2001) Some relationships between fuzzy and random classifiers and models. Int J Approx Reason 29:175–213CrossRef
91.
Zurück zum Zitat Sánchez L, Couso I (2007) Advocating the use of imprecisely observed data in genetic fuzzy systems. IEEE Trans Fuzzy Syst 15(4):551–562CrossRef Sánchez L, Couso I (2007) Advocating the use of imprecisely observed data in genetic fuzzy systems. IEEE Trans Fuzzy Syst 15(4):551–562CrossRef
92.
Zurück zum Zitat Sebban M, Nock R, Cahuchat JH, Rakotomalala R (2000) Impact of learning set quality and size on decision tree performance. Int J Comput Syst Signals 1:85–105 Sebban M, Nock R, Cahuchat JH, Rakotomalala R (2000) Impact of learning set quality and size on decision tree performance. Int J Comput Syst Signals 1:85–105
93.
Zurück zum Zitat Setnes M, Roubos H (2000) GA-fuzzy modeling and classification: complexity and performance. IEEE Trans Fuzzy Syst 8(5):509–522CrossRef Setnes M, Roubos H (2000) GA-fuzzy modeling and classification: complexity and performance. IEEE Trans Fuzzy Syst 8(5):509–522CrossRef
94.
Zurück zum Zitat Setzkorn C, Paton RC (2005) On the use of multi-objective evolutionary algorithms for the induction of fuzzy classification rule systems. BioSystems 81:101–112CrossRef Setzkorn C, Paton RC (2005) On the use of multi-objective evolutionary algorithms for the induction of fuzzy classification rule systems. BioSystems 81:101–112CrossRef
95.
Zurück zum Zitat Shi YH, Eberhart R, Chen YB (1999) Implementation of evolutionary fuzzy systems. IEEE Trans Fuzzy Syst 7(2):109–119CrossRef Shi YH, Eberhart R, Chen YB (1999) Implementation of evolutionary fuzzy systems. IEEE Trans Fuzzy Syst 7(2):109–119CrossRef
96.
Zurück zum Zitat Smith S (1980) A learning system based on genetic algorithms. PhD Thesis, Unversity of Pittsburgh, Pittsburgh Smith S (1980) A learning system based on genetic algorithms. PhD Thesis, Unversity of Pittsburgh, Pittsburgh
97.
Zurück zum Zitat Takagi T, Sugeno M (1985) Fuzzy identification of systems and its application to modelling and control. IEEE Trans Syst Man Cybern 15(1):116–132MATH Takagi T, Sugeno M (1985) Fuzzy identification of systems and its application to modelling and control. IEEE Trans Syst Man Cybern 15(1):116–132MATH
98.
Zurück zum Zitat Tan P-N, Steinbach M, Kumar V (2006) Introduction to data mining. Pearson, Boston Tan P-N, Steinbach M, Kumar V (2006) Introduction to data mining. Pearson, Boston
99.
Zurück zum Zitat Thrift P (1991) Fuzzy logic synthesis with genetic algorithms. In: Proceedings of 4th international conference on genetic algorithms (ICGA’91), pp 509–513 Thrift P (1991) Fuzzy logic synthesis with genetic algorithms. In: Proceedings of 4th international conference on genetic algorithms (ICGA’91), pp 509–513
100.
Zurück zum Zitat Tsang C-H, Tsai JH, Wang H (2007) Genetic-fuzzy rule mining approach and evaluation of feature selection techniques for anomaly intrusion detection. Pattern Recognit 40(9):2373–2391MATHCrossRef Tsang C-H, Tsai JH, Wang H (2007) Genetic-fuzzy rule mining approach and evaluation of feature selection techniques for anomaly intrusion detection. Pattern Recognit 40(9):2373–2391MATHCrossRef
101.
Zurück zum Zitat Valenzuela-Rendon M (1991) The fuzzy classifier system: a classifier system for continuously varying variables. In: Proceedings of 4th international conference on genetic algorithms (ICGA’91), pp 346–353 Valenzuela-Rendon M (1991) The fuzzy classifier system: a classifier system for continuously varying variables. In: Proceedings of 4th international conference on genetic algorithms (ICGA’91), pp 346–353
102.
Zurück zum Zitat Valenzuela-Rendon M (1998) Reinforcement learning in the fuzzy classifier system. Expert Syst Appl 14:237–247CrossRef Valenzuela-Rendon M (1998) Reinforcement learning in the fuzzy classifier system. Expert Syst Appl 14:237–247CrossRef
103.
Zurück zum Zitat Wang H, Kwong S, Jin Y, Wei W, Man KF (2005) Multiobjective hierarchical genetic algorithm for interpretable fuzzy rule-based knowledge extraction. Fuzzy Sets Syst 149:149–186MATHCrossRefMathSciNet Wang H, Kwong S, Jin Y, Wei W, Man KF (2005) Multiobjective hierarchical genetic algorithm for interpretable fuzzy rule-based knowledge extraction. Fuzzy Sets Syst 149:149–186MATHCrossRefMathSciNet
104.
Zurück zum Zitat Venturini G (1993) SIA: a supervised inductive algorithm with genetic search for learning attribute based concepts. In: Proceedings of European conference on machine learning. Viena, pp 280–296 Venturini G (1993) SIA: a supervised inductive algorithm with genetic search for learning attribute based concepts. In: Proceedings of European conference on machine learning. Viena, pp 280–296
105.
Zurück zum Zitat Wilson S (1995) Classifier fitness based on accuracy. Evol Comput 3(2):149–175 Wilson S (1995) Classifier fitness based on accuracy. Evol Comput 3(2):149–175
106.
Zurück zum Zitat Wong ML, Leung KS (2000) Data mining using grammar based genetic programming and applications. Kluwer, Dordrecht Wong ML, Leung KS (2000) Data mining using grammar based genetic programming and applications. Kluwer, Dordrecht
107.
Zurück zum Zitat Wrobel S (1997) An algorithm for multi-relational discovery of subgroups. In: Proceedings of the first European symposium on principles of data mining and knowledge discovery (PKDD), Berlin, pp 78–87 Wrobel S (1997) An algorithm for multi-relational discovery of subgroups. In: Proceedings of the first European symposium on principles of data mining and knowledge discovery (PKDD), Berlin, pp 78–87
108.
Zurück zum Zitat Yager RR, Filev DP (1994) Essentials of fuzzy modeling and control. Wiley, New York Yager RR, Filev DP (1994) Essentials of fuzzy modeling and control. Wiley, New York
109.
Zurück zum Zitat Yang Q, Wu X (2006) 10 challenging problems in data mining research. Int J Inf Technol Decis Mak 5(4):597–604CrossRef Yang Q, Wu X (2006) 10 challenging problems in data mining research. Int J Inf Technol Decis Mak 5(4):597–604CrossRef
110.
Zurück zum Zitat Zitzler E, Laumanns M, Thiele L (2001) SPEA2: Improving the strength pareto evolutionary algorithm for multiobjective optimization. In: Proceedings of evolutionary methods for design, optimization and control with applications to industrial problems (EUROGEN2001). Barcelona, pp 95–100 Zitzler E, Laumanns M, Thiele L (2001) SPEA2: Improving the strength pareto evolutionary algorithm for multiobjective optimization. In: Proceedings of evolutionary methods for design, optimization and control with applications to industrial problems (EUROGEN2001). Barcelona, pp 95–100
Metadaten
Titel
Genetic fuzzy systems: taxonomy, current research trends and prospects
verfasst von
Francisco Herrera
Publikationsdatum
01.03.2008
Verlag
Springer-Verlag
Erschienen in
Evolutionary Intelligence / Ausgabe 1/2008
Print ISSN: 1864-5909
Elektronische ISSN: 1864-5917
DOI
https://doi.org/10.1007/s12065-007-0001-5

Weitere Artikel der Ausgabe 1/2008

Evolutionary Intelligence 1/2008 Zur Ausgabe

Editorial

Foreword