一类带约束多目标优化问题的区间斜率法

In this paper, we describe the interval slope methods for a class of constrained multiobjective optimization problems, in which the objective functions and constrained functions are in C1. By the idea of evaluation function, we transform the multiobjective optimization problems into constrained minimax problems. On the basis of setting up interval extension and region deletion test rules, an interval algorithm is established and the convergence properties are proved. Numerical results are presented to show that the algorithms are efficient and reliable.