求解模糊数线性规划问题的单纯形法

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering Pub Date : 2007-10-22 DOI:10.5281/ZENODO.1058184

S. H. Nasseri, E. Ardil, A. Yazdani, Reza Zaefarian

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引用次数: 60

摘要

模糊集理论在运筹学、控制理论、管理科学等领域有着广泛的应用。特别是，该理论在决策问题中的一个应用是具有模糊数的线性规划问题。本文提出了一种利用线性排序函数求解模糊数线性规划问题的新方法。实际上，我们的方法类似于以前用于解决脆环境下线性规划问题的单纯形法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Simplex Method For Solving Linear Programming Problems With Fuzzy Numbers

The fuzzy set theory has been applied in many fields, such as operations research, control theory, and management sciences, etc. In particular, an application of this theory in decision making problems is linear programming problems with fuzzy numbers. In this study, we present a new method for solving fuzzy number linear programming problems, by use of linear ranking function. In fact, our method is similar to simplex method that was used for solving linear programming problems in crisp environment before.

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来源期刊

World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering

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