Dear David:

You could change in your model the multiobjective function by a penalty function for the non-fulfillment of restrictions, to generate a very big solutions population calculating, for each solution, every one of your real optimization criteria. So, you will obtain probalistic distributions for each criteria and you could to compare the results of your optimization problem with the best results of your auxiliary model (using penalty function). Do you understood?

Dear Dr. Arzola-Ruiz

thank you so much

I got it

it is depend on problem type but there is two general methods: 1) benchmarking with a previous work and similar data 2)validated on a real case study

Comparing them with real life