A New Approach for Dynamic Stochastic Fractal Search with Fuzzy Logic for Parameter Adaptation
Stochastic fractal search (SFS) is a novel method inspired by the process of stochastic growth in nature and the use of the fractal mathematical concept. Considering the chaotic stochastic diffusion property, an improved dynamic stochastic fractal search (DSFS) optimization algorithm is presented. T...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-04-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/5/2/33 |
| _version_ | 1797537309775626240 |
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| author | Marylu L. Lagunes Oscar Castillo Fevrier Valdez Jose Soria Patricia Melin |
| author_facet | Marylu L. Lagunes Oscar Castillo Fevrier Valdez Jose Soria Patricia Melin |
| author_sort | Marylu L. Lagunes |
| collection | DOAJ |
| description | Stochastic fractal search (SFS) is a novel method inspired by the process of stochastic growth in nature and the use of the fractal mathematical concept. Considering the chaotic stochastic diffusion property, an improved dynamic stochastic fractal search (DSFS) optimization algorithm is presented. The DSFS algorithm was tested with benchmark functions, such as the multimodal, hybrid, and composite functions, to evaluate the performance of the algorithm with dynamic parameter adaptation with type-1 and type-2 fuzzy inference models. The main contribution of the article is the utilization of fuzzy logic in the adaptation of the diffusion parameter in a dynamic fashion. This parameter is in charge of creating new fractal particles, and the diversity and iteration are the input information used in the fuzzy system to control the values of diffusion. |
| first_indexed | 2024-03-10T12:13:16Z |
| format | Article |
| id | doaj.art-3b90d16415d24392a6f3174d48bb94e8 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T12:13:16Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-3b90d16415d24392a6f3174d48bb94e82023-11-21T16:00:53ZengMDPI AGFractal and Fractional2504-31102021-04-01523310.3390/fractalfract5020033A New Approach for Dynamic Stochastic Fractal Search with Fuzzy Logic for Parameter AdaptationMarylu L. Lagunes0Oscar Castillo1Fevrier Valdez2Jose Soria3Patricia Melin4Tijuana Institute of Technology, Calzada Tecnologico s/n, Fracc. Tomas Aquino, Tijuana 22379, MexicoTijuana Institute of Technology, Calzada Tecnologico s/n, Fracc. Tomas Aquino, Tijuana 22379, MexicoTijuana Institute of Technology, Calzada Tecnologico s/n, Fracc. Tomas Aquino, Tijuana 22379, MexicoTijuana Institute of Technology, Calzada Tecnologico s/n, Fracc. Tomas Aquino, Tijuana 22379, MexicoTijuana Institute of Technology, Calzada Tecnologico s/n, Fracc. Tomas Aquino, Tijuana 22379, MexicoStochastic fractal search (SFS) is a novel method inspired by the process of stochastic growth in nature and the use of the fractal mathematical concept. Considering the chaotic stochastic diffusion property, an improved dynamic stochastic fractal search (DSFS) optimization algorithm is presented. The DSFS algorithm was tested with benchmark functions, such as the multimodal, hybrid, and composite functions, to evaluate the performance of the algorithm with dynamic parameter adaptation with type-1 and type-2 fuzzy inference models. The main contribution of the article is the utilization of fuzzy logic in the adaptation of the diffusion parameter in a dynamic fashion. This parameter is in charge of creating new fractal particles, and the diversity and iteration are the input information used in the fuzzy system to control the values of diffusion.https://www.mdpi.com/2504-3110/5/2/33fractal searchfuzzy logicparameter adaptationCEC 2017 |
| spellingShingle | Marylu L. Lagunes Oscar Castillo Fevrier Valdez Jose Soria Patricia Melin A New Approach for Dynamic Stochastic Fractal Search with Fuzzy Logic for Parameter Adaptation Fractal and Fractional fractal search fuzzy logic parameter adaptation CEC 2017 |
| title | A New Approach for Dynamic Stochastic Fractal Search with Fuzzy Logic for Parameter Adaptation |
| title_full | A New Approach for Dynamic Stochastic Fractal Search with Fuzzy Logic for Parameter Adaptation |
| title_fullStr | A New Approach for Dynamic Stochastic Fractal Search with Fuzzy Logic for Parameter Adaptation |
| title_full_unstemmed | A New Approach for Dynamic Stochastic Fractal Search with Fuzzy Logic for Parameter Adaptation |
| title_short | A New Approach for Dynamic Stochastic Fractal Search with Fuzzy Logic for Parameter Adaptation |
| title_sort | new approach for dynamic stochastic fractal search with fuzzy logic for parameter adaptation |
| topic | fractal search fuzzy logic parameter adaptation CEC 2017 |
| url | https://www.mdpi.com/2504-3110/5/2/33 |
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