Skip to main content

2019 | OriginalPaper | Buchkapitel

Interval Type-2 Fuzzy Logic Dynamic Mutation and Crossover Parameter Adaptation in a Fuzzy Differential Evolution Method

verfasst von : Patricia Ochoa, Oscar Castillo, José Soria

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

In this paper we consider the Differential Evolution (DE) algorithm by using fuzzy logic to make dynamic changes in the mutation (F) and crossover (Cr) parameters separately, and this modification of the algorithm we can call it the Fuzzy Differential Evolution algorithm (FDE). A comparison of the FDE algorithm using type-1 fuzzy logic and interval type-2 fuzzy logic is performed for a set of Benchmark functions.

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 A. Zamuda, J. Brest, B. Boˇskovi´c, V. ˇZumer. “Differential evolution for parameterized procedural woody plant models reconstruction,” in ELSEVIER: Applied Soft Computing, Volume 11, Issue 8, December 2011, Pages 4904–4912. A. Zamuda, J. Brest, B. Boˇskovi´c, V. ˇZumer. “Differential evolution for parameterized procedural woody plant models reconstruction,” in ELSEVIER: Applied Soft Computing, Volume 11, Issue 8, December 2011, Pages 4904–4912.
2.
Zurück zum Zitat D. Wu, A Constrained Representation Theorem for Interval Type-2 Fuzzy Sets Using Convex and Normal Embedded Type-1 Fuzzy Sets, and It’s Application to Centroid Computation,presented at the World Conf. Soft Comput., San Francisco, CA”, May 2011. D. Wu, A Constrained Representation Theorem for Interval Type-2 Fuzzy Sets Using Convex and Normal Embedded Type-1 Fuzzy Sets, and It’s Application to Centroid Computation,presented at the World Conf. Soft Comput., San Francisco, CA”, May 2011.
3.
Zurück zum Zitat E. Mezura-Montes and A. Palomeque-Ortiz, Self-adaptive and Deterministic Parameter Control in Differential Evolution for Constrained Optimization.Efren Mezura-Montes, Laboratorio Nacional de Informatica Avanzada (LANIA A.C.), Rebsamen 80, Centro, Xalapa, Veracruz, 91000, MEXICO 2009. E. Mezura-Montes and A. Palomeque-Ortiz, Self-adaptive and Deterministic Parameter Control in Differential Evolution for Constrained Optimization.Efren Mezura-Montes, Laboratorio Nacional de Informatica Avanzada (LANIA A.C.), Rebsamen 80, Centro, Xalapa, Veracruz, 91000, MEXICO 2009.
4.
Zurück zum Zitat F. Olivas, O. Castillo: Particle Swarm Optimization with Dynamic Parameter Adaptation Using Fuzzy Logic for Benchmark Mathematical Functions. Recent Advances on Hybrid Intelligent Systems 2013: 247–258. F. Olivas, O. Castillo: Particle Swarm Optimization with Dynamic Parameter Adaptation Using Fuzzy Logic for Benchmark Mathematical Functions. Recent Advances on Hybrid Intelligent Systems 2013: 247–258.
5.
Zurück zum Zitat F. Valdez, P. Melin, O. Castillo: An improved evolutionary method with fuzzy logic for combining Particle Swarm Optimization and Genetic Algorithms. Applied Soft Computing 11 (2011) 2625–2632. F. Valdez, P. Melin, O. Castillo: An improved evolutionary method with fuzzy logic for combining Particle Swarm Optimization and Genetic Algorithms. Applied Soft Computing 11 (2011) 2625–2632.
6.
Zurück zum Zitat F. Valdez, P. Melin, O. Castillo: Bio-inspired Optimization Methods on Graphic Processing Unit for Minimization of Complex Mathematical Functions. Recent Advances on Hybrid Intelligent Systems 2013: 313–322. F. Valdez, P. Melin, O. Castillo: Bio-inspired Optimization Methods on Graphic Processing Unit for Minimization of Complex Mathematical Functions. Recent Advances on Hybrid Intelligent Systems 2013: 313–322.
7.
Zurück zum Zitat F. Valdez., P. Melin., O. Castillo, Evolutionary method combining particle swarm optimization and genetic algorithms using fuzzy logic for decision making, in: Proceedings of the IEEE International Conference on Fuzzy Systems, 2009, pp. 2114–2119. F. Valdez., P. Melin., O. Castillo, Evolutionary method combining particle swarm optimization and genetic algorithms using fuzzy logic for decision making, in: Proceedings of the IEEE International Conference on Fuzzy Systems, 2009, pp. 2114–2119.
8.
Zurück zum Zitat F. Valdez, P. Melin, O. Castillo: Parallel Particle Swarm Optimization with Parameters Adaptation Using Fuzzy Logic. MICAI (2) 2012: 374–385. F. Valdez, P. Melin, O. Castillo: Parallel Particle Swarm Optimization with Parameters Adaptation Using Fuzzy Logic. MICAI (2) 2012: 374–385.
9.
Zurück zum Zitat J. M. Garibaldi, “Alternative forms of non-standard fuzzy sets: A discussion paper,” in Type-2 Fuzzy Logic: State of the Art and Future Directions, London, June 2010. J. M. Garibaldi, “Alternative forms of non-standard fuzzy sets: A discussion paper,” in Type-2 Fuzzy Logic: State of the Art and Future Directions, London, June 2010.
10.
Zurück zum Zitat J. M. Mendel, “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. J. M. Mendel, “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.
11.
Zurück zum Zitat J. M. Mendel, Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Upper Saddle River, NJ: Prentice-Hall, 2001. J. M. Mendel, Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Upper Saddle River, NJ: Prentice-Hall, 2001.
12.
Zurück zum Zitat J. M. Mendel and R. I. John, “Type-2 fuzzy sets made simple,” IEEE Trans. on Fuzzy Systems, vol. 10, no. 2, pp. 117–127, 2002. J. M. Mendel and R. I. John, “Type-2 fuzzy sets made simple,” IEEE Trans. on Fuzzy Systems, vol. 10, no. 2, pp. 117–127, 2002.
13.
Zurück zum Zitat L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning-1,” Information Sciences, vol. 8, pp. 199–249, 1975. L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning-1,” Information Sciences, vol. 8, pp. 199–249, 1975.
14.
Zurück zum Zitat M. Eftekhari, S.D. Katebi, M. Karimi, A.H. Jahanmir: Eliciting transparent fuzzy model using differential evolution, School of Engineering, Shiraz University, Shiraz, Iran, Applied Soft Computing 8 (2008) 466–476. M. Eftekhari, S.D. Katebi, M. Karimi, A.H. Jahanmir: Eliciting transparent fuzzy model using differential evolution, School of Engineering, Shiraz University, Shiraz, Iran, Applied Soft Computing 8 (2008) 466–476.
15.
Zurück zum Zitat N. Hachicha, B. Jarboui, P. Siarry: A fuzzy logic control using a differential evolution algorithm aimed at modelling the financial market dynamics, Institut Supérieur de Commerce et de Comptabilité de Bizerte, Zarzouna 7021, Bizerte, Tunisia, Information Sciences 181 (2011) 79–91. N. Hachicha, B. Jarboui, P. Siarry: A fuzzy logic control using a differential evolution algorithm aimed at modelling the financial market dynamics, Institut Supérieur de Commerce et de Comptabilité de Bizerte, Zarzouna 7021, Bizerte, Tunisia, Information Sciences 181 (2011) 79–91.
16.
Zurück zum Zitat P. Ochoa, O. Castillo,J. Soria, A Fuzz modelling y Differential evolution method with dynamic adaptation of parameters for the optimization of fuzzy controllers, Norbert Wiener in the 21st Century (21CW), 2014 IEEE Conference on, 24-26 June 2014. P. Ochoa, O. Castillo,J. Soria, A Fuzz modelling y Differential evolution method with dynamic adaptation of parameters for the optimization of fuzzy controllers, Norbert Wiener in the 21st Century (21CW), 2014 IEEE Conference on, 24-26 June 2014.
17.
Zurück zum Zitat Price, R. Storn, Lampinen J. A., Kenneth V, Differential Evolution, Springer 2005. Price, R. Storn, Lampinen J. A., Kenneth V, Differential Evolution, Springer 2005.
18.
Zurück zum Zitat R. Zhang, S. Song, C. Wu. “A hybrid differential evolution algorithm for job shop scheduling problems with expected total tardiness criterion,” in ELSEVIER: Applied Soft Computing, Available online 13 March 2012. R. Zhang, S. Song, C. Wu. “A hybrid differential evolution algorithm for job shop scheduling problems with expected total tardiness criterion,” in ELSEVIER: Applied Soft Computing, Available online 13 March 2012.
19.
Zurück zum Zitat S.-K Oh. W.-D. Kim, W. Pedrycz, Design of optimized cascade fuzzy controller based on differential evolution: Simulation studies and practical insights, Department of Electrical Engineering, The University of Suwon, Engineering Applications of Artificial Intelligence 25 (2012) 520–532. S.-K Oh. W.-D. Kim, W. Pedrycz, Design of optimized cascade fuzzy controller based on differential evolution: Simulation studies and practical insights, Department of Electrical Engineering, The University of Suwon, Engineering Applications of Artificial Intelligence 25 (2012) 520–532.
20.
Zurück zum Zitat W. Raofen, J. Zhang, Y. Zhang, X. Wang: Assessment of human operator functional state using a novel differential evolution optimization based adaptive fuzzy model, Lab for Brain-Computer Interfaces and Control, East China University of Science and Technology, Shanghai 200237, PR China, Biomedical Signal Processing and Control 7 (2012) 490–498. W. Raofen, J. Zhang, Y. Zhang, X. Wang: Assessment of human operator functional state using a novel differential evolution optimization based adaptive fuzzy model, Lab for Brain-Computer Interfaces and Control, East China University of Science and Technology, Shanghai 200237, PR China, Biomedical Signal Processing and Control 7 (2012) 490–498.
21.
Zurück zum Zitat X. Yao, Y. Liu, K. H. Liang, Ling G, “Fast evolutionary algorithms. In advances in evolutionary computing: theory and applications,” Springer- Verlag, New York, 2003 92v. X. Yao, Y. Liu, K. H. Liang, Ling G, “Fast evolutionary algorithms. In advances in evolutionary computing: theory and applications,” Springer- Verlag, New York, 2003 92v.
Metadaten
Titel
Interval Type-2 Fuzzy Logic Dynamic Mutation and Crossover Parameter Adaptation in a Fuzzy Differential Evolution Method
verfasst von
Patricia Ochoa
Oscar Castillo
José Soria
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-319-78931-6_5