Multi objective optimization is difficult to be done in PSO. Still few researchers have published their work in multi modal optimization using PSO.
check this paper from Antonio Bolufé-Röhler.
https://www.researchgate.net/publication/230881971_Multi-swarm_hybrid_for_multi-modal_optimization
But implementing this is a tidious process. And again multi objective problems(MOP) optimization is very difficult to implement.
NSGA II is one of the best algorithm for implementing MOP. It uses non dominated search algorithm in genetic algorithm for sorting. You may find the codes in mathworks.
Another is GODLIKE algorithm. This is a combination of PSO, GA, ASA etc. Its a time consuming algorithm. Still its handy for solving MOP. Codes are available in mathworks.com.
Regards
Chittesh vc
Conference Paper Multi-swarm hybrid for multi-modal optimization
Hi have you visited Professor Coello-Coello's repository?. I have tried item number 28 on that list which is in MATLAB and it seems to work ok
http://delta.cs.cinvestav.mx/~ccoello/EMOO/EMOOsoftware.html
Kindly, go through the following publication.
Y. del Valle, G. Venayagamoorthy, S. Mohagheghi, J.-C. Hernandez, R. Harley, Particle swarm optimization: Basic concepts, variants and applications in power systems, IEEE Transactions on Evolutionary Computation, 12 (2) (2008) 171-195.
I hope it will be very helpful to you.
Also, one PSO algorithm is available here.
https://www.researchgate.net/publication/280244004_A_comparative_study_of_metaheuristic_optimization_approaches_for_directional_overcurrent_relays_coordination
Further, PSO codes in MATLAB can be downloaded from the following link;
https://www.researchgate.net/publication/296636431_Codes_in_MATLAB_for_Particle_Swarm_Optimization?ev=prf_pub
Regards,
M.N.Alam
Article A comparative study of metaheuristic optimization approaches...
Code Codes in MATLAB for Particle Swarm Optimization
https://www.researchgate.net/publication/297245624_Particle_Swarm_Optimization_Algorithm_and_its_Codes_in_MATLAB
Research Particle Swarm Optimization: Algorithm and its Codes in MATLAB
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