Relationship Between β-Efficient Solution and Minimum Risk Efficient Solution for Uncertain Multi-objective Problem

The minimum risk efficient solution for uncertain multi-objective problem is difficult to obtain due to the constraint of uncertain variables, while \(\varvec{\beta}\)-efficient solution provide a possible alternative. This paper studies the relationship between the minimum risk efficient solution and \(\varvec{\beta}\)-efficient solution, the internal connections and transformation conditions are explored, and theoretical proof is presented, which provide theoretical basis for the practical appliance of minimum risk model in uncertain environment.