Population-based methods for rst-order fuzzydierential inclusion

In this paper, we deal with rst-order fuzzy dierential inclusions. To solve fuzzy dierentialinclusion, we establish two optimization problems. The optimal solutions to these problems give the fuzzysolution to fuzzy dierential inclusion. To nd optimal solutions, we apply a population-based method likethe Particle Swarm Optimization(PSO) algorithm. The PSO algorithm has attracted the considerationof researchers because of its simplicity and eectiveness.

Keywords:

Fuzzy dierential equation , Fuzzy dierential inclusion , Particle Swarm Optimization , Meta-heuristic algorithms , Optimization Problems.