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Possibilisitic linear programming: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem

机译:可能的线性规划:模糊数学规划的简要评述以及与投资组合选择问题中的随机规划的比较

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摘要

In this paper, we review some fuzzy linear programming methods and techniques from a practical point of view. In the first part, the general history and the approach of fuzzy mathematical programming are introduced. Using a numerical example some models of fuzzy linear programming are described. In the second part of he paper, fuzzy mathematical programming approaches are compared to stochastic programming ones. The advantages and disadvantages of fuzzy mathematical programming approaches are exemplified in the setting of an optimal portfolio selection problem. Final, some newly developed ieas and techniques in fuzzy mathematical programming are briefly reviewed.
机译:在本文中,我们从实际的角度回顾了一些模糊线性规划方法和技术。在第一部分中,介绍了模糊数学编程的一般历史和方法。使用数值示例描述了模糊线性规划的一些模型。在论文的第二部分中,将模糊数学规划方法与随机规划方法进行了比较。模糊数学规划方法的优缺点在设置最优投资组合选择问题中得到了例证。最后,简要回顾了模糊数学编程中一些新近开发的思想和技术。

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