I have very basic question. I'm an engineer by training and have taken undergraduate courses on applied optimization. one of the last chapters in the course was on multi objective optimization (MOO) which the instructor quickly reviewed and did not provide any example context or explanation, so I'm trying to teach MOO myself.
I'm trying to understand the concept of dominance and how to compute dominance in the context of multi objective optimization aka Pareto optimality.
Lets suppose I have a vector of functions f(1), f(2) and f(3). f(1) needs to be minimized. f(2) and f(3) also need to be minimized. The lowest value f(2) and f(3)can take is 0. As an example see below, I have 5 candidates, I would like to assess dominance of candidate_1 vs all other candidate. How would can I do that?
Any pseudo code or definition would be helpful.
