模糊随机变量线性规划的求解

Solving the Linear Programming of Fuzzy Random Variables

研究一种软计算 ,背景是社会经济规划、工程产业等的计算数据带有主观意识的情形 ,即往往在目标函数和制约性问题中存在两种不同类型的非确定性 :参变量是模糊的和随机的。本文认为可以用可能性期望原则均混这两类非确定性 ,从而把模糊随机变量的线性规划问题简化为带有模糊系数的某种标准线性规划问题来求解。

This paper deals with a kind of soft calculation. It’s the case when the calculation data from social economic programming,engineering industrial ect. Are of subjective consciousness, i.e.,usually between objective function and constraint problem there exsit two types of uncertainty,in which the parameters are fuzzy and random. In the paper,we believe by applying the expectation principle of possibility. We can mix these two types of uncertainty. Moreover,the problem of linear programming of fuzzy random variables can be simplified into the problem of solving same kind of standard linear programming with fuzzy coefficient.