具有模糊目标函数的线性规划

I. Alolyan
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引用次数: 1

摘要

传统的线性规划(LP)模型要求参数被称为常数。然而,在现实世界中,这些参数很少是确切已知的,必须加以估计。区间规划是数学规划模型中解决不确定性问题的工具之一。本文考虑系数不确定的LP问题。导出了闭区间与有界区间之间的关系,并通过考虑所有闭区间集合上的偏序,给出了这类问题的解。
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Linear Programming with Fuzzy Objective Function
The conventional Linear Programming (LP) model requires the parameters to be known as constants. In the real world, however, the parameters are seldom known exactly and have to be estimated. Interval programming is one of the tools to tackle uncertainty in mathematical programming models. In this paper, we consider LP problem whose coefficients are uncertain. The relations between closed and bounded intervals is derived, and the solution of such a problem is proposed by considering the partial orderings on the set of all closed intervals.
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