Skip to main content

2019 | OriginalPaper | Buchkapitel

Fuzzy Harmony Search Algorithm Using an Interval Type-2 Fuzzy Logic Applied to Benchmark Mathematical Functions

verfasst von : Cinthia Peraza, Fevrier Valdez, Oscar Castillo

Erschienen in: Intuitionistic Fuzziness and Other Intelligent Theories and Their Applications

Verlag: Springer International Publishing

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

search-config
loading …

Abstract

This paper presents a fuzzy harmony search algorithm (FHS) based on an interval type-2 fuzzy logic system for dynamic parameter adaptation. The harmony memory accepting (HMR) and pitch adjustment (PArate) parameters are changing during the iterations in the improvisation process of this algorithm using the fuzzy system. The FHS has been successfully applied to various benchmark optimization problems. Numerical results reveal that the proposed algorithm can find better solutions when compared to a type-1 FHS and other heuristic methods and is a powerful search algorithm for various benchmark optimization problems.

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 Geem Z.: Music inspired harmony Search Algorithm theory and applications, Studies in computational intelligence, pp. 8–121, Springer, Heidelberg, Germany (2009). Geem Z.: Music inspired harmony Search Algorithm theory and applications, Studies in computational intelligence, pp. 8–121, Springer, Heidelberg, Germany (2009).
2.
Zurück zum Zitat Mendel J. M., Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Upper Saddle River, NJ: Prentice-Hall, 2001. Mendel J. M., Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Upper Saddle River, NJ: Prentice-Hall, 2001.
3.
Zurück zum Zitat Zadeh L. A., “The concept of a linguistic variable and its application to approximate reasoning-1,” Information Sciences, vol. 8, pp. 199–249, 1975. Zadeh L. A., “The concept of a linguistic variable and its application to approximate reasoning-1,” Information Sciences, vol. 8, pp. 199–249, 1975.
4.
Zurück zum Zitat Mendel J. M. and R. I. John, “Type-2 fuzzy sets made simple,” IEEE Trans. on Fuzzy Systems, vol. 10, no. 2, pp. 117–127, 2002. Mendel J. M. and R. I. John, “Type-2 fuzzy sets made simple,” IEEE Trans. on Fuzzy Systems, vol. 10, no. 2, pp. 117–127, 2002.
5.
Zurück zum Zitat Mendel J. M., “On answering the question “where do i start in order to solve a new problem involving interval type-2 fuzzy sets?”,” Information Sciences, vol. 179, no. 19, pp. 3418–3431, 2009. Mendel J. M., “On answering the question “where do i start in order to solve a new problem involving interval type-2 fuzzy sets?”,” Information Sciences, vol. 179, no. 19, pp. 3418–3431, 2009.
6.
Zurück zum Zitat Mahamed G., Mahdavi M.: Global best harmony search, Applied Mathematics and Computation, pp. 1–14. Elsevier, Amsterdam, Holland (2008). Mahamed G., Mahdavi M.: Global best harmony search, Applied Mathematics and Computation, pp. 1–14. Elsevier, Amsterdam, Holland (2008).
7.
Zurück zum Zitat Peraza C., Valdez F., Castillo O.: Fuzzy control of parameters to dynamically adapt the hs algorithm for optimization, Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing, pp. 1–6, IEEE (2015). Peraza C., Valdez F., Castillo O.: Fuzzy control of parameters to dynamically adapt the hs algorithm for optimization, Fuzzy Information Processing Society (NAFIPS) held jointly with 2015 5th World Conference on Soft Computing, pp. 1–6, IEEE (2015).
8.
Zurück zum Zitat Wang C., Huang Y.: Self adaptive harmony search algorithm for optimization, Expert Systems with Applications Volume 37, pp. 2826–2837, Elsevier (2010). Wang C., Huang Y.: Self adaptive harmony search algorithm for optimization, Expert Systems with Applications Volume 37, pp. 2826–2837, Elsevier (2010).
9.
Zurück zum Zitat Geem Z., Sim K., Parameter setting free harmony search algorithm, Applied Mathematics and Computation, pp. 3881–3889. Elsevier, Chung Ang, China (2010). Geem Z., Sim K., Parameter setting free harmony search algorithm, Applied Mathematics and Computation, pp. 3881–3889. Elsevier, Chung Ang, China (2010).
10.
Zurück zum Zitat Hadi M., Mehmet A., Mashinchi M., Pedrycz W.: A Tabu Harmony Search Based Approach to Fuzzy Linear Regression, Fuzzy Systems, IEEE Transactions on, pp. 432–448. IEEE, New Jersey, USA (2011). Hadi M., Mehmet A., Mashinchi M., Pedrycz W.: A Tabu Harmony Search Based Approach to Fuzzy Linear Regression, Fuzzy Systems, IEEE Transactions on, pp. 432–448. IEEE, New Jersey, USA (2011).
11.
Zurück zum Zitat Dexuan Z., Yanfeng G., Liqun G., Peifeng W.: A Novel Global Harmony Search Algorithm for Chemical Equation Balancing, In Computer Design and Applications (ICCDA), 2010 International Conference on Vol. 2, pp. V2–1. IEEE. (2010). Dexuan Z., Yanfeng G., Liqun G., Peifeng W.: A Novel Global Harmony Search Algorithm for Chemical Equation Balancing, In Computer Design and Applications (ICCDA), 2010 International Conference on Vol. 2, pp. V2–1. IEEE. (2010).
12.
Zurück zum Zitat Mahdavi M., Fesanghary M., Damangir E.: An improved harmony search algorithm for solving optimization problems, applied Mathematics and Computation, pp. 1567–1579. Elsevier, Amsterdam, Holland (2007). Mahdavi M., Fesanghary M., Damangir E.: An improved harmony search algorithm for solving optimization problems, applied Mathematics and Computation, pp. 1567–1579. Elsevier, Amsterdam, Holland (2007).
13.
Zurück zum Zitat Geem Z., Lee K.: A new meta-heuristic algorithm for continuous engineering optimization harmony search theory and practice, Computer methods in applied mechanics and engineering, pp. 3902–3933. Elsevier, Maryland, USA (2004). Geem Z., Lee K.: A new meta-heuristic algorithm for continuous engineering optimization harmony search theory and practice, Computer methods in applied mechanics and engineering, pp. 3902–3933. Elsevier, Maryland, USA (2004).
14.
Zurück zum Zitat Geem Z.: Harmony search algorithms for structural design optimization, Studies in computational intelligence, Vol. 239, pp. 8–121. Springer, Heidelberg, Germany (2009). Geem Z.: Harmony search algorithms for structural design optimization, Studies in computational intelligence, Vol. 239, pp. 8–121. Springer, Heidelberg, Germany (2009).
15.
Zurück zum Zitat Štefek A.: Benchmarking of heuristic optimization methods, Mechatronika 14th International Symposium, pp. 68–71, IEEE (2011). Štefek A.: Benchmarking of heuristic optimization methods, Mechatronika 14th International Symposium, pp. 68–71, IEEE (2011).
16.
Zurück zum Zitat Valdez F., Melin P., Castillo O.: Fuzzy Control of Parameters to Dynamically Adapt the PSO and GA Algorithms, Fuzzy Systems International Conference, pp. 1–8, IEEE, Barcelona, Spain (2010). Valdez F., Melin P., Castillo O.: Fuzzy Control of Parameters to Dynamically Adapt the PSO and GA Algorithms, Fuzzy Systems International Conference, pp. 1–8, IEEE, Barcelona, Spain (2010).
17.
Zurück zum Zitat Arabshahi, Payman, et al. “Fuzzy parameter adaptation in optimization: Some neural net training examples.” Computing in Science & Engineering 1 (1996): 57–65. Arabshahi, Payman, et al. “Fuzzy parameter adaptation in optimization: Some neural net training examples.” Computing in Science & Engineering 1 (1996): 57–65.
18.
Zurück zum Zitat Ochoa P., Castillo O., Soria J., Differential evolution with dynamic adaptation of parameters for the optimization of fuzzy controllers, Recent Advances on Hybrid Approaches for designing intelligent systems, pp. 275–288. Springer, Heidelberg, Germany (2013). Ochoa P., Castillo O., Soria J., Differential evolution with dynamic adaptation of parameters for the optimization of fuzzy controllers, Recent Advances on Hybrid Approaches for designing intelligent systems, pp. 275–288. Springer, Heidelberg, Germany (2013).
19.
Zurück zum Zitat Yang X.: Nature Inspired Metaheuristic Algorithms, Second Edition, University of Cambridge, United Kingdom, pp. 73–76, Luniver Press (2010). Yang X.: Nature Inspired Metaheuristic Algorithms, Second Edition, University of Cambridge, United Kingdom, pp. 73–76, Luniver Press (2010).
20.
Zurück zum Zitat Olivas F., Melin P., Castillo O., et al., Optimal design of fuzzy classification systems using PSO with dynamic parameter adaptation through fuzzy logic, pp. 2–11, Elsevier (2013). Olivas F., Melin P., Castillo O., et al., Optimal design of fuzzy classification systems using PSO with dynamic parameter adaptation through fuzzy logic, pp. 2–11, Elsevier (2013).
Metadaten
Titel
Fuzzy Harmony Search Algorithm Using an Interval Type-2 Fuzzy Logic Applied to Benchmark Mathematical Functions
verfasst von
Cinthia Peraza
Fevrier Valdez
Oscar Castillo
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-319-78931-6_2