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首页> 外文期刊>IAENG Internaitonal journal of computer science >Two Fuzzy Approaches for Multiobjective Stochastic Programming and Multiobjective Fuzzy Random Programming Through a Probability Maximization Model
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Two Fuzzy Approaches for Multiobjective Stochastic Programming and Multiobjective Fuzzy Random Programming Through a Probability Maximization Model

机译：基于概率最大化模型的多目标随机规划和多目标模糊随机规划的两种模糊方法

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摘要

In this paper, two kinds of fuzzy approaches are proposed for not only multiobjective stochastic linear programming problems, but also multiobjective fuzzy random linear programming problems through a probability maximization model. In a probability maximization model, it is necessary for the decision maker to specify permissible values of objective functions in advance, which have a great influence on the corresponding distribution function values. In our proposed methods, the decision maker does not specify permissible values of objective functions, but sets his/her membership functions for permissible values. By assuming that the decision maker adopts the fuzzy decision as an aggregation operator of fuzzy goals for not only the permissible objective levels but also the permissible probability levels, a satisfactory solution of the decision maker is easily obtained based on linear programming technique. Two kinds of numerical examples are illustrated to show the feasibility of the proposed methods.
机译：通过概率最大化模型，不仅针对多目标随机线性规划问题，而且针对多目标模糊随机线性规划问题，提出了两种模糊方法。在概率最大化模型中，决策者必须事先指定目标函数的允许值，这对相应的分布函数值有很大的影响。在我们提出的方法中，决策者不指定目标函数的允许值，而是将其隶属函数设置为允许值。通过假设决策者采用模糊决策作为模糊目标的集合算子，不仅针对允许的目标水平，还针对许可的概率水平，基于线性规划技术很容易获得决策者令人满意的解决方案。两种数值例子说明了所提出方法的可行性。

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