Skip to main content

2016 | OriginalPaper | Buchkapitel

Improvement of Precision of Neuro-Fuzzy System by Increase of Activation of Rules

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

search-config
loading …

Abstract

Neuro-fuzzy systems have proved to be a powerful tool for data approximation and generalization. A rule base is a crucial part of a neuro-fuzzy system. The data items activate the rules and their answers are aggregated into a final answer. The experiments reveal that sometimes the activation of all rules in a rule base is very low. It means the system recognizes the data items very poorly. The paper presents a modification of the neuro-fuzzy system: the tuning procedure has two objectives: minimizing of the error of the system and maximizing of the activation of rules. The higher activation (better recognition of the data items) makes the model more reliable. The increase of the activation of rules may also decrease the error rate for the model. The paper is accompanied by the numerical examples.

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 Alcalá-Fdez, J., Fernandez, A., Luengo, J., Derrac, J., García, S., Sánchez, L., Herrera, F.: KEEL data-mining software tool: data set repository, integration of algorithms and experimental analysis framework. J. Mult.-Valued Log. Soft Comput. 17(2–3), 255–287 (2011) Alcalá-Fdez, J., Fernandez, A., Luengo, J., Derrac, J., García, S., Sánchez, L., Herrera, F.: KEEL data-mining software tool: data set repository, integration of algorithms and experimental analysis framework. J. Mult.-Valued Log. Soft Comput. 17(2–3), 255–287 (2011)
2.
Zurück zum Zitat Bezerra, R.A., Vellasco, M.M., Tanscheit, R.: Hierarchical neuro-fuzzy BSP Mamdani system. In: Neural Networks, Genetic Algorithms and Soft Computing, pp. 1321–1326 (2005) Bezerra, R.A., Vellasco, M.M., Tanscheit, R.: Hierarchical neuro-fuzzy BSP Mamdani system. In: Neural Networks, Genetic Algorithms and Soft Computing, pp. 1321–1326 (2005)
3.
Zurück zum Zitat Czabański, R.: Extraction of fuzzy rules using deterministic annealing integrated with \(\epsilon \)-insensitive learning. Int. J. Appl. Math. Comput. Sci. 16(3), 357–372 (2006)MathSciNetMATH Czabański, R.: Extraction of fuzzy rules using deterministic annealing integrated with \(\epsilon \)-insensitive learning. Int. J. Appl. Math. Comput. Sci. 16(3), 357–372 (2006)MathSciNetMATH
4.
Zurück zum Zitat Czogała, E., Łęski, J.: Fuzzy and Neuro-Fuzzy Intelligent Systems. Studies in Fuzziness and Soft Computing. Physica-Verlag, Heidelberg (2000)CrossRefMATH Czogała, E., Łęski, J.: Fuzzy and Neuro-Fuzzy Intelligent Systems. Studies in Fuzziness and Soft Computing. Physica-Verlag, Heidelberg (2000)CrossRefMATH
5.
Zurück zum Zitat Dunn, J.C.: A fuzzy relative of the ISODATA process and its use in detecting compact, well separated clusters. J. Cybern. 3(3), 32–57 (1973)MathSciNetCrossRefMATH Dunn, J.C.: A fuzzy relative of the ISODATA process and its use in detecting compact, well separated clusters. J. Cybern. 3(3), 32–57 (1973)MathSciNetCrossRefMATH
6.
Zurück zum Zitat Frank, A., Asuncion, A.: UCI Machine Learning Repository (2010) Frank, A., Asuncion, A.: UCI Machine Learning Repository (2010)
7.
Zurück zum Zitat Jakubek, S., Keuth, N.: A local neuro-fuzzy network for high-dimensional models and optimalization. Eng. Appl. Artif. Intell. 19(6), 705–717 (2006)CrossRef Jakubek, S., Keuth, N.: A local neuro-fuzzy network for high-dimensional models and optimalization. Eng. Appl. Artif. Intell. 19(6), 705–717 (2006)CrossRef
8.
Zurück zum Zitat Łęski, J.: \(\varepsilon \)-insensitive learing techniques for approximate reasoning systems. Int. J. Comput. Cogn. 1(1), 21–77 (2003) Łęski, J.: \(\varepsilon \)-insensitive learing techniques for approximate reasoning systems. Int. J. Comput. Cogn. 1(1), 21–77 (2003)
9.
Zurück zum Zitat Łęski, J., Czogała, E.: A new artificial neural network based fuzzy inference system with moving consequents in if-then rules and selected applications. Fuzzy Sets Syst. 108(3), 289–297 (1999)MathSciNetCrossRefMATH Łęski, J., Czogała, E.: A new artificial neural network based fuzzy inference system with moving consequents in if-then rules and selected applications. Fuzzy Sets Syst. 108(3), 289–297 (1999)MathSciNetCrossRefMATH
10.
Zurück zum Zitat Mamdani, E.H.: Application of fuzzy logic to approximate reasoning using linguistic synthesis. IEEE Trans. Comput. C–26(12), 1182–1191 (1977)CrossRefMATH Mamdani, E.H.: Application of fuzzy logic to approximate reasoning using linguistic synthesis. IEEE Trans. Comput. C–26(12), 1182–1191 (1977)CrossRefMATH
11.
Zurück zum Zitat Senhadji, R., Sanchez-Solano, S., Barriga, A., Baturone, I., Moreno-Velo, F.: Norfrea: an algorithm for non redundant fuzzy rule extraction. IEEE Int. Conf. Syst. Man Cybern. 1, 604–608 (2002)CrossRef Senhadji, R., Sanchez-Solano, S., Barriga, A., Baturone, I., Moreno-Velo, F.: Norfrea: an algorithm for non redundant fuzzy rule extraction. IEEE Int. Conf. Syst. Man Cybern. 1, 604–608 (2002)CrossRef
12.
Zurück zum Zitat Setnes, M., Babuška, R.: Rule base reduction: some comments on the use of orthogonal transforms. IEEE Trans. Syst. Man Cybern. Part C: Appl. Rev. 31(2), 199–206 (2001)CrossRef Setnes, M., Babuška, R.: Rule base reduction: some comments on the use of orthogonal transforms. IEEE Trans. Syst. Man Cybern. Part C: Appl. Rev. 31(2), 199–206 (2001)CrossRef
13.
Zurück zum Zitat Sikora, M., Krzystanek, Z., Bojko, B., Śpiechowicz, K.: Application of a hybrid method of machine learning for description and on-line estimation of methane hazard in mine workings. J. Min. Sci. 47(4), 493–505 (2011)CrossRef Sikora, M., Krzystanek, Z., Bojko, B., Śpiechowicz, K.: Application of a hybrid method of machine learning for description and on-line estimation of methane hazard in mine workings. J. Min. Sci. 47(4), 493–505 (2011)CrossRef
14.
Zurück zum Zitat Simiński, K.: Patchwork neuro-fuzzy system with hierarchical domain partition. In: Kurzynski, M., Wozniak, M. (eds.) Computer Recognition Systems 3. AISC, vol. 57, pp. 11–18. Springer, Heidelberg (2009)CrossRef Simiński, K.: Patchwork neuro-fuzzy system with hierarchical domain partition. In: Kurzynski, M., Wozniak, M. (eds.) Computer Recognition Systems 3. AISC, vol. 57, pp. 11–18. Springer, Heidelberg (2009)CrossRef
15.
Zurück zum Zitat Simiński, K.: Neuro-fuzzy system based kernel for classification with support vector machines. In: Gruca, A., Czachórski, T., Kozielski, S. (eds.) Man-Machine Interactions 3. AISC, vol. 242, pp. 415–422. Springer, Heidelberg (2014)CrossRef Simiński, K.: Neuro-fuzzy system based kernel for classification with support vector machines. In: Gruca, A., Czachórski, T., Kozielski, S. (eds.) Man-Machine Interactions 3. AISC, vol. 242, pp. 415–422. Springer, Heidelberg (2014)CrossRef
17.
Zurück zum Zitat Siminski, K.: Ridders algorithm in approximate inversion of fuzzy model with parameterized consequences. Expert Syst. Appl. 51, 276–285 (2016)CrossRef Siminski, K.: Ridders algorithm in approximate inversion of fuzzy model with parameterized consequences. Expert Syst. Appl. 51, 276–285 (2016)CrossRef
18.
Zurück zum Zitat Sugeno, M., Tanaka, K.: Successive identification of a fuzzy model and its applications to prediction of a complex system. Fuzzy Sets Syst. 42(3), 315–334 (1991)MathSciNetCrossRefMATH Sugeno, M., Tanaka, K.: Successive identification of a fuzzy model and its applications to prediction of a complex system. Fuzzy Sets Syst. 42(3), 315–334 (1991)MathSciNetCrossRefMATH
19.
Zurück zum Zitat Sugeno, M., Yasukawa, T.: A fuzzy-logic-based approach to qualitative modeling. IEEE Trans. Fuzzy Syst. 1(1), 7–31 (1993)CrossRef Sugeno, M., Yasukawa, T.: A fuzzy-logic-based approach to qualitative modeling. IEEE Trans. Fuzzy Syst. 1(1), 7–31 (1993)CrossRef
20.
Zurück zum Zitat Yeh, I.C.: Modeling of strength of high-performance concrete using artificial neural networks. Cem. Concr. Res. 28(12), 1797–1808 (1998)CrossRef Yeh, I.C.: Modeling of strength of high-performance concrete using artificial neural networks. Cem. Concr. Res. 28(12), 1797–1808 (1998)CrossRef
21.
Zurück zum Zitat Zhou, Z.H., Chen, S.F.: Rule extraction from neural networks. J. Comput. Res. Dev. 39(4), 398–405 (2002) Zhou, Z.H., Chen, S.F.: Rule extraction from neural networks. J. Comput. Res. Dev. 39(4), 398–405 (2002)
Metadaten
Titel
Improvement of Precision of Neuro-Fuzzy System by Increase of Activation of Rules
verfasst von
Krzysztof Siminski
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-34099-9_11

Premium Partner