集值线性规划及其满意解

Set-Valued Linear Programming and Its Satisfactory Solution

对目标函数和约束条件均为集值的不确定线性规划问题 ,利用集合的λ-截点把集值线性规划问题转化为确定型的一般参数规划问题来解决 ,并证明了这种求解方法是区间线性规划基于满意度求解方法的推广。为决策者分析复杂的不确定性线性规划问题提供了一种有效的思路和方法。

As for the uncertainty linear programming problem in which the cofficients in the objective function as well as in constraint conditions are sets.We transform it into the general parameter linear programming problem by means of the concept λ cut of a set,prove that the method is the extension of the method for the interval number linear programming with the concept of constraint satisfactory degree, and provide an efficient and satisfactory way for uncertainty linear programming problem.