Multi-Objective Optimization in Matlab

In this video, I’m going to show you a simple but very effective method to solve multi-objective optimization problems in Matlab. It’s very easy to use this method and minimum programming skill is required.
This method is based on multi-objective optimization genetic algorithm solver in Matlab. If you want to download this Matlab code, check the link in the video description.
In this video, we use unconstrained optimization problem to test its performance. For those who are interested in constrained multi-objective optimization, please check other videos related to multi-objective optimization on this channel.
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Matlab code: bit.ly/3k6NRHm
HERE ARE 6 LISTS OF MY VIDEOS YOU MAY BE INTERESTED IN:
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• Optimization Using Gen...
2. Optimization Using Particle Swarm Optimization:
• Optimization Using Par...
3. Optimization Using Simulated Annealing Algorithm:
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4. Optimization Using Optimization Solvers:
• Optimization Using Opt...
5. Optimization Using Matlab:
• Optimization Using Matlab
6. Optimization Using Python:
• Optimization Using Python
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[@karthikeyanm4736]

Nice explanation sir, My doubt is 1)i dont have function. if i have the input and output data, is it possible to create function and do optimization?

[@SolvingOptimizationProblems]

In this case, we need to do regression to find the relationship between the input and output. And then apply optimization algorithm to solve it

[@3DEngineeringprints]

Good work done 👍🏼👍🏼

[@SolvingOptimizationProblems]

Thank you! Cheers!

[@madhumohan9233]

Thank you... Good video... Most useful

[@SolvingOptimizationProblems]

So nice of you

[@dhruvinakrani5681]

Nicely explained Can you upload matlab code related to multiobjective JAYA Algorithm?

[@SolvingOptimizationProblems]

Noted! Many thanks for your useful suggestion!

[@rachidbennia2388]

Thank you

[@SolvingOptimizationProblems]

Thanks for watching

[@ravikumarkonki8008]

Nice explanation sir. Sir when I was trying minimising 2 optimisations. I got only 1 solution in Pareto front. I found that during initialisation the population set I got is same points. Pls clarify it sir.

[@SolvingOptimizationProblems]

Try to increase the pop size

[@ravikumarkonki8008]

@@SolvingOptimizationProblems I have done that also sir. Iam getting same set of points in population sir.

[@pepsithebunny2404]

First make sure that your objective functions are not strongly correlated to each other. Strongly correlated or proportional functions mean that minimizing one function will also minimize the other function with the same solution resulting in only one point in the pareto front. You can check the function correlation using spearman correlation coefficients, matlab has this implemented already. Also, make sure you have enough population and generations. You can try the optimization with other multiobjective algorithms like pareto search or MOPSO, etc... Make sure your maximum and minimum interval for the design variables space search is not switched. Greetings from Brazil, i hope it helped.

[@dr.mukeshkumarsahu1107]

What algorithm you have used ? GA ?

[@SolvingOptimizationProblems]

Multi objective GA

[@aliasaleh8468]

What if I have nonlinear constraints for the objective functions, for example, I want the solutions from the objective functions to be in a specific range

[@SolvingOptimizationProblems]

This solver can handle the nonlinear constraints. Please put the constraint in the designed section.

[@yaraali4493]

Thank you.. But if i have one function min and the other max .. how can i modify the code ?

[@SolvingOptimizationProblems]

In that case, we have to convert the max problem to min problem.

[@yaraali4493]

@@SolvingOptimizationProblems How??can you give me example please

[@pepsithebunny2404]

@@yaraali4493 just multiply the function you want to maximize by -1 and then you can minimize it normally. max(f(x))=min(-f(x)).

[@ssirailsiuofstso9332]

If I want to add some constraints, what should I do?

[@SolvingOptimizationProblems]

Hi, for that, please look for a video on this channel named: "Solve Multi-Objective Optimization Problems Using GA Solver in Matlab". Thanks

[@fluid-lab495]

Nice video thank you for sharing

[@SolvingOptimizationProblems]

Thanks for visiting

[@rajaramyadav7546]

@@SolvingOptimizationProblems God give you mouth so use it 😂😂😂 If you can solve this than alos explain Hope you got it

[@MrJames-nx3un]

what about 3 objs, can we have result in matrix

[@SolvingOptimizationProblems]

There is a such kind of that video on my channel. Please check it out!

[@hs234]

Many thanks ; this example already avilable in MATLAB ; can you do optimisation if you have aset of data instead of formaula.?

[@SolvingOptimizationProblems]

Thanks for your suggestion! I will try

[@lahiruransara9162]

Sir, can we use Matlab gamultiobj tool for Multi objective binary optimization?

[@SolvingOptimizationProblems]

yes, i think so.

[@MrJames-nx3un]

sir, my values are discrete, so i can't use (lb, ub). What should I do, sir for example: my value: x = [4 6 8 10 12]

[@SolvingOptimizationProblems]

We can use regression to get a continuous equation or randomly select the value in a given list of discrete values

[@MrJames-nx3un]

@@SolvingOptimizationProblems can you make a video tutorial about discrete value sir

[@bhargabbarua8700]

Nicely explained Can you upload something related to multiobjective TLBO?

[@SolvingOptimizationProblems]

Thanks for your suggestions!

[@yaraali4493]

How to select the best solution from pareto front??

[@SolvingOptimizationProblems]

In multi objective optimization, multi best solutions exist. All solutions on the pareto front are equally important - no one is better than other.

[@pepsithebunny2404]

all solutions are equally important, but you can use an utility function if you really need to pick one solution for comparison's sake. Check out the book Introduction to Optimum Design 3e by Arora.

[@globalchina6145]

Can you help me to solve brain storm.optimization Algorithm

[@SolvingOptimizationProblems]

Sorry, I don't know that algorithm

[@kelzangmpee8496]

Any other software that can be used to carry out optimization (Genetic Algorithm) other than MATLAB ?

[@SolvingOptimizationProblems]

Yes, but I use only Matlab and Python

[@kelzangmpee8496]

@@SolvingOptimizationProblems can we use Digsilent power factory for carrying out Genetic algorithm?

[@SolvingOptimizationProblems]

No, I don't

[@kevinkabila5996]

Hello sir can you show us how optimize the weights with neural networks based on genetics algorithm

[@SolvingOptimizationProblems]

Hello, I don't know the neural network

[@aungmyothant2929]

may i get any fortran90 code for multiobjective functions ?

[@SolvingOptimizationProblems]

The code is in matlab version 2016

[@farmad100]

a very good and effective way to make me understand. Please prepare a video to use gravitational search algo for multi-objective optimization problem thru matlab code

[@SolvingOptimizationProblems]

Noted. Thank you for your suggestion.

[@zinebfergani9844]

Please, I got one point on pareto front Can you tell me why

[@SolvingOptimizationProblems]

Try to increase the pop size to get more solutions, or check the format of the objective function

[@pepsithebunny2404]

First make sure that your objective functions are not strongly correlated to each other. Strongly correlated or proportional functions mean that minimizing one function will also minimize the other function with the same solution resulting in only one point in the pareto front. You can check the function correlation using spearman correlation coefficients, matlab has this implemented already. Also, make sure you have enough population and generations. You can try the optimization with other multiobjective algorithms like pareto search or MOPSO, etc... Make sure your maximum and minimum interval for the design variables space search is not switched. Greetings from Brazil, i hope it helped.

[@007aha1]

nice wheres the video with constraints bro bre bra

[@SolvingOptimizationProblems]

Currently I don't have code for constrained problems. Thanks for your suggestions

[@3DEngineeringprints]

If I simply add one more objective will main function work? How to draw 3 D Pareto ( obj 1,2 and 3)

[@SolvingOptimizationProblems]

Hi, that's an interesting suggestion. I will do that in the next video. Thanks

[@3DEngineeringprints]

@@SolvingOptimizationProblems also try nsga ii ( multi obj)

[@SolvingOptimizationProblems]

Thanks. I have NSGA and I will upload it after my paper is accepted.

[@pepsithebunny2404]

@@3DEngineeringprints Matlab uses NSGAii when using 'gamultiobje' function.