Skip to main content
Top

2016 | OriginalPaper | Chapter

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

Activate our intelligent search to find suitable subject content or patents.

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Literature
1.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference Frank, A., Asuncion, A.: UCI Machine Learning Repository (2010) Frank, A., Asuncion, A.: UCI Machine Learning Repository (2010)
7.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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.
go back to reference 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)
Metadata
Title
Improvement of Precision of Neuro-Fuzzy System by Increase of Activation of Rules
Author
Krzysztof Siminski
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-34099-9_11

Premium Partner