Selection mechanisms based on the maximin fitness function to solve multi-objective optimization problems

Abstract

In this paper, we study three selection mechanisms based on the maximin fitness function and we propose 
another one. These selection mechanisms give rise to the following MOEAs: "MC-MOEA", "MD-MOEA", "MH-MOEA" 
and "MAH-MOEA". We validated them using standard test functions taken from the specialized literature, having 
from three up to ten objective functions. We compare these four MOEAs among them and also with respect to MOEA/D 
(which is based on decomposition), and to SMS-EMOA (which is based on the hypervolume indicator). Our preliminary 
results indicate that "MD-MOEA" and "MAH-MOEA" are promising alternatives for solving MOPs with either low or 
high dimensionality.