Characterizations and Generating Efficient Solutions to Interval Optimization Problems

Abstract

In this study, we propose a method to obtain complete efficient solution sets of the optimization problems with interval-valued functions. The proposed method is based on the cone method for multiobjective optimization problems. Toward developing the method, a bi-objective characterization of efficient solutions to the problem under consideration is reported. In addition, we provide a saddle point characterization of efficient solutions to the problem with the help of a newly defined Lagrangian function. Finally, we provide an algorithmic implementation of the proposed method and support it with two numerical examples. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.