Research Article

DIFFERENTIAL EVOLUTION WITH DYNAMIC ADAPTATION OF PARAMETERS BASED ON A FUZZY LOGIC AUGMENTATION APPROACH

Volume: 2 Number: 2 July 29, 2019
EN

DIFFERENTIAL EVOLUTION WITH DYNAMIC ADAPTATION OF PARAMETERS BASED ON A FUZZY LOGIC AUGMENTATION APPROACH

Abstract

This paper proposes an improvement to the Differential Evolution algorithm using a fuzzy logic augmentation. The main contribution is to dynamically adapt the parameters of mutation (F) and crossover (CR) using a fuzzy system, with the aim that the fuzzy system calculates the optimal parameters of the differential evolution algorithm during execution for obtaining better solutions, in this way arriving to the proposed new fuzzy differential evolution algorithm. In this paper experiments are performed with a set of mathematical functions using the original algorithm and the proposed method. Based on a statistical comparison of the original and proposed method, we can state that the fuzzy differential evolution algorithm outperforms the original differential evolution method.

Keywords

References

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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Patricia Ochoa This is me
Mexico

José Soria This is me
Mexico

Publication Date

July 29, 2019

Submission Date

February 7, 2019

Acceptance Date

August 1, 2019

Published in Issue

Year 2019 Volume: 2 Number: 2

APA
Castillo, O., Ochoa, P., & Soria, J. (2019). DIFFERENTIAL EVOLUTION WITH DYNAMIC ADAPTATION OF PARAMETERS BASED ON A FUZZY LOGIC AUGMENTATION APPROACH. Journal of Universal Mathematics, 2(2), 183-207. https://doi.org/10.33773/jum.523748
AMA
1.Castillo O, Ochoa P, Soria J. DIFFERENTIAL EVOLUTION WITH DYNAMIC ADAPTATION OF PARAMETERS BASED ON A FUZZY LOGIC AUGMENTATION APPROACH. JUM. 2019;2(2):183-207. doi:10.33773/jum.523748
Chicago
Castillo, Oscar, Patricia Ochoa, and José Soria. 2019. “DIFFERENTIAL EVOLUTION WITH DYNAMIC ADAPTATION OF PARAMETERS BASED ON A FUZZY LOGIC AUGMENTATION APPROACH”. Journal of Universal Mathematics 2 (2): 183-207. https://doi.org/10.33773/jum.523748.
EndNote
Castillo O, Ochoa P, Soria J (July 1, 2019) DIFFERENTIAL EVOLUTION WITH DYNAMIC ADAPTATION OF PARAMETERS BASED ON A FUZZY LOGIC AUGMENTATION APPROACH. Journal of Universal Mathematics 2 2 183–207.
IEEE
[1]O. Castillo, P. Ochoa, and J. Soria, “DIFFERENTIAL EVOLUTION WITH DYNAMIC ADAPTATION OF PARAMETERS BASED ON A FUZZY LOGIC AUGMENTATION APPROACH”, JUM, vol. 2, no. 2, pp. 183–207, July 2019, doi: 10.33773/jum.523748.
ISNAD
Castillo, Oscar - Ochoa, Patricia - Soria, José. “DIFFERENTIAL EVOLUTION WITH DYNAMIC ADAPTATION OF PARAMETERS BASED ON A FUZZY LOGIC AUGMENTATION APPROACH”. Journal of Universal Mathematics 2/2 (July 1, 2019): 183-207. https://doi.org/10.33773/jum.523748.
JAMA
1.Castillo O, Ochoa P, Soria J. DIFFERENTIAL EVOLUTION WITH DYNAMIC ADAPTATION OF PARAMETERS BASED ON A FUZZY LOGIC AUGMENTATION APPROACH. JUM. 2019;2:183–207.
MLA
Castillo, Oscar, et al. “DIFFERENTIAL EVOLUTION WITH DYNAMIC ADAPTATION OF PARAMETERS BASED ON A FUZZY LOGIC AUGMENTATION APPROACH”. Journal of Universal Mathematics, vol. 2, no. 2, July 2019, pp. 183-07, doi:10.33773/jum.523748.
Vancouver
1.Oscar Castillo, Patricia Ochoa, José Soria. DIFFERENTIAL EVOLUTION WITH DYNAMIC ADAPTATION OF PARAMETERS BASED ON A FUZZY LOGIC AUGMENTATION APPROACH. JUM. 2019 Jul. 1;2(2):183-207. doi:10.33773/jum.523748