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Higher Degree Fuzzy Transform: Application to Stationary Processes and Noise Reduction Read chapter Read first chapter

2018 | OriginalPaper | Chapter

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

Authors : Cinthia Peraza, Fevrier Valdez, Oscar Castillo

Published in: Advances in Fuzzy Logic and Technology 2017

Publisher: Springer International Publishing

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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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previous chapter General Preference Structure with Uncertainty Data Present by Interval-Valued Fuzzy Relation and Used in Decision Making Model
next chapter Penalty-Based Aggregation Beyond the Current Confinement to Real Numbers: The Method of Kemeny Revisited
Literature
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)CrossRef
2.
Askarzadeh, A.: A novel metaheuristic method for solving constrained engineering optimization problems: crow search algorithm. Comput. Struct. 169, 1–12 (2016)CrossRef
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)
4.
Geem, Z.W., Kim, J.H., Loganathan, G.V.: A new heuristic optimization algorithm: harmony search. Simulation 76(2), 60–68 (2001)CrossRef
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)
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)CrossRef
7.
Mendel, J.: Type-2 fuzzy sets and systems: an overview [corrected reprint]. IEEE Comput. Intell. Mag. 2(2), 20–29 (2007)MathSciNetCrossRef
8.
Mendel, J.: Type-2 Fuzzy sets and systems: How to learn about them. IEEE SMC eNewsletter 27 (2009)
9.
Mendel, J., John, R.I.B.: Type-2 fuzzy sets made simple. IEEE Trans. Fuzzy Syst. 10(2), 117–127 (2002)CrossRef
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)CrossRef
11.
Molina-Moreno, F., et al.: Optimization of buttressed earth-retaining walls using hybrid harmony search algorithms. Eng. Struct. 134, 205–216 (2017)CrossRef
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)
13.
Peraza, C., et al.: A new fuzzy harmony search algorithm using fuzzy logic for dynamic parameter adaptation. Algorithms 9(4), 69 (2016)MathSciNetCrossRef
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)
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)
16.
Terano, T., Asai, K., Sugeno, M.: Fuzzy systems theory and its applications. Academic Press Professional Inc, New York (1992)MATH
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)CrossRef
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)CrossRef
19.
20.
Zadeh, L.A.: Fuzzy sets and applications: selected papers (1987)
Metadata
Title
Comparative Study of Type-1 and Interval Type-2 Fuzzy Systems in the Fuzzy Harmony Search Algorithm Applied to Benchmark Functions
Authors
Cinthia Peraza
Fevrier Valdez
Oscar Castillo
Copyright Year
2018
Book
Advances in Fuzzy Logic and Technology 2017

Print ISBN: 978-3-319-66826-0

Electronic ISBN: 978-3-319-66827-7

Copyright Year: 2018

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

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