【摘要】 区间规划是带有区间参数的规划问题,是一种更易于求解实际问题的柔性规划。它是确定性优化问题的延伸,有区间线性规划和区间非线性规划两种形式。本文讨论了目标函数是区间函数的区间非线性问题。给出了区间规划问题最优性必要条件的较简单证明方法,并利用LU最优解的概念,在一类广义凸函数-(p,r)-ρ-(η,θ)-不变凸函数定义下讨论了最优性充分条件。更多还原

【Abstract】 The programming with interval coefficients is called interval programming,which is flexible programming to easily solve some optimization problems. Interval programming can be regarded as an extension of deterministic optimization problems. There are two kinds of interval programming: interval linear programming and interval nonlinear programming. In this paper,we discuss interval-valued programming where the objective function is an interval-valued function. The necessary optimality conditions are established for a feasible point to LU optimal solution,and the sufficient optimality conditions are obtained under( p,r)- ρ-( η,θ)- invexity assumptions on objective and the constraint functions.更多还原