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A fuzzy linear programming approach for municipal solid-waste management under uncertainty

机译：不确定性下城市生活垃圾管理的模糊线性规划方法

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In this study, a fuzzy linear programming (FLP) method is developed for dealing with uncertainties expressed as fuzzy sets that exist in the constraints' left-hand and right-hand sides and the objective function. A direct transforming algorithm is advanced for solving the FLP model that improves upon the existing method through provision of a quantitative expression for uncertain relationships among a large number of fuzzy sets. The proposed solution method can greatly reduce computational requirements, which is particularly meaningful for the application of FLP to large-scale practical problems with many fuzzy sets. The developed FLP method is applied to a case of long-term waste-management planning. The results indicate that reasonable solutions have been obtained. They can be used for generating decision alternatives and to help managers identify desired policies for waste management under uncertainty. Compared with the conventional interval-parameter linear programming approach, FLP can provide more information for solutions, containing not only the lower and upper bounds but also the most possible value for decision variables and objective function.
机译：在这项研究中，开发了一种模糊线性规划（FLP）方法来处理不确定性，这些不确定性表示为存在于约束的左右两侧和目标函数中的模糊集。提出了一种直接变换算法来求解FLP模型，该模型通过为大量模糊集之间的不确定关系提供定量表达式来改进了现有方法。所提出的求解方法可以大大减少计算需求，这对于将FLP应用于具有许多模糊集的大规模实际问题特别有意义。改进的FLP方法适用于长期废物管理计划。结果表明已经获得了合理的解决方案。它们可用于生成决策方案，并帮助管理人员确定不确定性下废物管理的所需政策。与传统的间隔参数线性规划方法相比，FLP可以为解决方案提供更多信息，不仅包含上下限，而且还包含决策变量和目标函数的最大可能值。

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