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首页> 外文期刊>Journal of intelligent & fuzzy systems: Applications in Engineering and Technology >Research on the random multi-attribute decision-making methods with trapezoidal fuzzy probability based on prospect theory
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Research on the random multi-attribute decision-making methods with trapezoidal fuzzy probability based on prospect theory

机译：基于前景理论的梯形模糊概率随机多属性决策方法研究

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摘要

With respect to the random multi-attribute decision making problems with trapezoidal fuzzy probability and unknown weight, a multi-attribute decision making method based on prospect theory is proposed. To begin with, the definition of trapezoidal fuzzy probability is given, and the selection principles for decision-making reference point in prospect theory are discussed. Further, the prospect value function and probability weight function of the trapezoidal fuzzy number based on the decision-making reference point of each attribute are constructed. Then, the prospect value of attribute for every alternative is calculated through prospect value function and probability weight function of the trapezoidal fuzzy number, and attribute weights are calculated by the variation coefficient method, and all the alternatives are ranked by the weighted prospect values and TOPSIS method, respectively. Finally, an illustrate example is given to show the decision-making steps, and the results are shown the feasibility of the methods.
机译：针对梯形模糊概率，权重未知的随机多属性决策问题，提出了一种基于前景理论的多属性决策方法。首先，给出了梯形模糊概率的定义，并讨论了前景理论中决策参考点的选择原则。此外，基于每个属性的决策参考点，构造了梯形模糊数的预期值函数和概率权重函数。然后，通过梯形模糊数的预期值函数和概率权重函数计算每个备选方案的属性预期值，并使用变异系数法计算属性权重，并通过加权的预期值和TOPSIS对所有备选方案进行排序方法。最后，给出了一个例子说明决策步骤，结果表明了该方法的可行性。

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