模糊数排序及其在模糊线性规划中的应用

A. M. El-Abyad
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引用次数: 0

摘要

提出了一种对模糊数进行排序的方法,并利用该方法提出了求解模糊线性规划问题的两种模型。本文提出了一种对两个模糊数进行排序的新方法,并展示了它相对于其他方法的一些实际优点。我们也利用建议的方法介绍两种技术来解决FLP问题。在第一种技术中,我们将模糊线性规划转化为清晰的双准则线性规划。在该模型中,模糊目标函数被两个待优化的清晰目标所取代,每个模糊约束被两个或三个清晰约束所取代,这取决于确定性水平/spl alpha/- /spl alpha/是否已分配。在第二种技术中,我们直接找到目标函数在所有可能可行决策上的可能性分布。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Ordering fuzzy numbers with application to fuzzy linear programming
We present an approach for ordering fuzzy numbers, then we utilize it to suggest two models for solving the fuzzy linear programming (FLP) problem. In this research we present a new approach for ordering two fuzzy numbers and show some practical advantages of it over other methods. We also utilize the suggested approach to introduce two techniques to solve the FLP problem. In the first technique, we convert the fuzzy linear program into a crisp bicriteria linear program. In this new model the fuzzy objective function is replaced by two crisp objectives to be optimized, and each fuzzy constraint is replaced by two or three crisp constraints depending on the level of certainty /spl alpha/-whether /spl alpha/ has or has not been assigned. In the second technique we find the possibility distribution of the objective function over all possible feasible decisions directly.
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