This paper is devoted to optimization and identification problems of structures with fuzzy parameters. The elasticity problem is considered in the paper. The fuzzy shape of the body, boundary conditions and material parameters are assumed.
The optimization and identification problems concern on finding the above parameters. The objective functions of optimization and identification problems are proposed. The objective function includes: (i) mass, (ii) stresses and (iii) displacements of the structure in the case of the optimization problems. The objective function includes the measured and computed displacements in selected sensor points placed on the boundary of the structure in the case of identification problem.
The fuzzy numbers are expressed as the set of interval values. To solve the boundary value problem the interval finite element method (IFEM) is used.
The optimization and identification problems are carried out using the Two-Stages Fuzzy Strategy (TSFS). The Fuzzy Evolutionary Algorithm is used in the first stage of TSFS. The fuzzy gradient method with neuro-computing of the sensitivity is applied in the second stage.
Several tests are performed, and will be presented in the full paper.