Some approaches to the study of the stability of solutions to multi-objective optimization problems

摘要

This article focuses on the issue of how to study the stability of solutions to a multi-objective optimization problem. Normalization and principle of choice of solutions to a multi-objective optimization problem can be approached in various ways. The concepts of the region of admissibility and scope of optimality are also given consideration. We consider the ∈-stability in the medium multi-objective optimization problem.