Treffer: A fuzzy particle swarm optimization method with application to shape design problem
Title:
A fuzzy particle swarm optimization method with application to shape design problem
Authors:
Source:
RAIRO - Operations Research. 57:2819-2832
Publisher Information:
EDP Sciences, 2023.
Publication Year:
2023
Subject Terms:
Finite element method, Artificial intelligence, Multi-material Optimization, Class (philosophy), Social Sciences, Structural engineering, Metaheuristic, Structural Health Monitoring Techniques, 01 natural sciences, Mathematical analysis, Decision Sciences, Identification (biology), Engineering, Finite Element Methods, FOS: Mathematics, 0101 mathematics, Optimization problem, Biology, Civil and Structural Engineering, Multi-swarm optimization, Particle swarm optimization, Physics, Mathematical optimization, Topology Optimization in Structural Engineering, Botany, Probabilistic Design Optimization, Optics, Focus (optics), 16. Peace & justice, Computer science, Fuzzy logic, Physical Sciences, Uncertainty Quantification and Sensitivity Analysis, Statistics, Probability and Uncertainty, Mathematics, Discretization
Document Type:
Fachzeitschrift
Article<br />Other literature type
ISSN:
2804-7303
0399-0559
0399-0559
DOI:
10.1051/ro/2023157
DOI:
10.60692/6kza1-6t342
DOI:
10.60692/yp2wx-0f290
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....c8547a7cca1c4e95f89f73408b7d402c
Database:
OpenAIRE
Weitere Informationen
In this study, we focus on a specific class of bilateral free boundaries problems. We approach this problem by formulating it as a shape optimization problem using a defined cost functional. The existence of an optimal solution for the optimization problem is proved. To tackle this problem, we propose an iterative approach that combines the particle swarm optimization and fuzzy logic methods. Additionally, we employ the finite element method as a discretization technique for the state equation. To validate our approaches, we investigate various types of domains. Furthermore, we compare the performance of these approaches in two scenarios: one with exact measurements used for identification and another with noisy measurements.