Multi-objective enhanced interval optimization problem

In this paper, we consider amultiple objective optimization problem whose decision variables and parameters are intervals. Existence of solution of this problem is studied by parameterizing the intervals. Amethodology is developed to find the t omega-efficient solution of the problem. The original problem is transformed to an equivalent deterministic problem and the relation between solutions of both is established. Finally, the methodology is verified in numerical examples.

Automated summary

This paper investigates a multiple objective optimization problem with intervals as decision variables and parameters. The existence of a solution to this problem is studied by parameterizing the intervals. A methodology is proposed to find the t omega-efficient solution of the problem. The original problem is transformed into an equivalent deterministic problem, and the relationship between solutions of both is established. Finally, the methodology is validated through numerical examples.