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Comparative Study of Type-1 and Interval Type-2 Fuzzy Systems in the Fuzzy Harmony Search Algorithm Applied to Benchmark Functions

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Advances in Fuzzy Logic and Technology 2017 (EUSFLAT 2017, IWIFSGN 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 643))

Abstract

At present the use of fuzzy systems applied to problem solving is very common, since the use of linguistic variables is less complex when solving a problem. This article presents a study of the use of type-1 and interval type-2 fuzzy system applied to the solution of problems of optimization using metaheuristic algorithms. There are many types of algorithms that mimic social, biological, etc. behaviors. In this case the work focuses on the metaheuristic algorithms in specific the fuzzy harmony search algorithm (FHS), the metaheuristic algorithms use a technique to obtain a suitable exploration in a definite space to finish with an exploitation around the best position found, with this it is possible to obtain a good solution of the problem. In particular, it was applied to 11 mathematical reference functions using different numbers of dimensions.

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References

  1. Arias, N.B., et al.: Metaheuristic optimization algorithms for the optimal coordination of plug-in electric vehicle charging in distribution systems with distributed generation. Electr. Power Syst. Res. 142, 351–361 (2017)

    Article  Google Scholar 

  2. Askarzadeh, A.: A novel metaheuristic method for solving constrained engineering optimization problems: crow search algorithm. Comput. Struct. 169, 1–12 (2016)

    Article  Google Scholar 

  3. Assad, A., Deep, K.: Applications of harmony search algorithm in data mining: a survey. In: Proceedings of Fifth International Conference on Soft Computing for Problem Solving. Springer Singapore (2016)

    Google Scholar 

  4. Geem, Z.W., Kim, J.H., Loganathan, G.V.: A new heuristic optimization algorithm: harmony search. Simulation 76(2), 60–68 (2001)

    Article  Google Scholar 

  5. Kar, P., Swain, S.C.: A harmony search-firefly algorithm based controller for damping power oscillations. In: 2016 Second International Conference on Computational Intelligence & Communication Technology (CICT). IEEE (2016)

    Google Scholar 

  6. Lee, A., Geem, Z.W., Suh, K.-D.: Determination of optimal initial weights of an artificial neural network by using the harmony search algorithm: application to breakwater armor stones. Appl. Sci. 6(6), 164 (2016)

    Article  Google Scholar 

  7. Mendel, J.: Type-2 fuzzy sets and systems: an overview [corrected reprint]. IEEE Comput. Intell. Mag. 2(2), 20–29 (2007)

    Article  MathSciNet  Google Scholar 

  8. Mendel, J.: Type-2 Fuzzy sets and systems: How to learn about them. IEEE SMC eNewsletter 27 (2009)

    Google Scholar 

  9. Mendel, J., John, R.I.B.: Type-2 fuzzy sets made simple. IEEE Trans. Fuzzy Syst. 10(2), 117–127 (2002)

    Article  Google Scholar 

  10. Mendel, J., John, R.I., Liu, F.: Interval type-2 fuzzy logic systems made simple. IEEE Trans. Fuzzy Syst. 14(6), 808–821 (2006)

    Article  Google Scholar 

  11. Molina-Moreno, F., et al.: Optimization of buttressed earth-retaining walls using hybrid harmony search algorithms. Eng. Struct. 134, 205–216 (2017)

    Article  Google Scholar 

  12. Nigdeli, S.M., Bekdaş, G., Yang, X.-S.: Optimum tuning of mass dampers by using a hybrid method using harmony search and flower pollination algorithm. In: International Conference on Harmony Search Algorithm. Springer, Singapore (2017)

    Google Scholar 

  13. Peraza, C., et al.: A new fuzzy harmony search algorithm using fuzzy logic for dynamic parameter adaptation. Algorithms 9(4), 69 (2016)

    Article  MathSciNet  Google Scholar 

  14. Peraza, C., Valdez, F., Castillo, O.: Interval type-2 fuzzy logic for dynamic parameter adaptation in the Harmony search algorithm. In: 2016 IEEE 8th International Conference on Intelligent Systems (IS). IEEE (2016)

    Google Scholar 

  15. Shaddiq, S., et al.: Optimal capacity and placement of distributed generation using metaheuristic optimization algorithm to reduce power losses in Bantul distribution system, Yogyakarta. In: 2016 8th International Conference on Information Technology and Electrical Engineering (ICITEE). IEEE (2016)

    Google Scholar 

  16. Terano, T., Asai, K., Sugeno, M.: Fuzzy systems theory and its applications. Academic Press Professional Inc, New York (1992)

    MATH  Google Scholar 

  17. Thanh, L.T., et al.: A computational study of hybrid approaches of metaheuristic algorithms for the cell formation problem. J. Oper. Res. Soc. 67(1), 20–36 (2016)

    Article  Google Scholar 

  18. Wang, G.-G., et al.: A new metaheuristic optimisation algorithm motivated by elephant herding behaviour. Int. J. Bio-Inspir. Comput. 8(6), 394–409 (2016)

    Article  Google Scholar 

  19. Zadeh, L.A.: Fuzzy sets. Inform. Control 8(3), 338–353 (1965)

    Article  MATH  Google Scholar 

  20. Zadeh, L.A.: Fuzzy sets and applications: selected papers (1987)

    Google Scholar 

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Authors and Affiliations

  1. Tijuana Institute of Technology, Tijuana, BC, Mexico

    Cinthia Peraza, Fevrier Valdez & Oscar Castillo

Authors
  1. Cinthia Peraza
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  2. Fevrier Valdez
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  3. Oscar Castillo
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Corresponding author

Correspondence to Fevrier Valdez .

Editor information

Editors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

  2. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Eulalia Szmidt

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Slawomir Zadrożny

  4. Institute of Biophysics and Biomedical Engineering, Department of Bioinformatics and Mathematical Modelling, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Krassimir T. Atanassov

  5. WIT - Warsaw School of Information Technology, Warsaw, Poland

    Maciej Krawczak

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Peraza, C., Valdez, F., Castillo, O. (2018). Comparative Study of Type-1 and Interval Type-2 Fuzzy Systems in the Fuzzy Harmony Search Algorithm Applied to Benchmark Functions. In: Kacprzyk, J., Szmidt, E., Zadrożny, S., Atanassov, K., Krawczak, M. (eds) Advances in Fuzzy Logic and Technology 2017. EUSFLAT IWIFSGN 2017 2017. Advances in Intelligent Systems and Computing, vol 643. Springer, Cham. https://doi.org/10.1007/978-3-319-66827-7_15

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  • DOI: https://doi.org/10.1007/978-3-319-66827-7_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66826-0

  • Online ISBN: 978-3-319-66827-7

  • eBook Packages: EngineeringEngineering (R0)

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