A New Prospect Projection Multi-Criteria Decision-Making Method for Interval-Valued Intuitionistic Fuzzy Numbers
A New Prospect Projection Multi-Criteria Decision-Making Method for Interval-Valued Intuitionistic Fuzzy Numbers
复制标题
区间值直觉模糊数前景投影多准则决策新方法
DOI：
10.3390/info7040064
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发表时间：
2016-12-01
期刊：
影响因子：
3.1
通讯作者：
Liu, Huihui
中科院分区：
文献类型：
--
作者：
Gao, Jianwei;Liu, Huihui
为了刻画决策者风险心理对区间直觉模糊多准则决策过程的影响，提出了一种基于前景理论的区间直觉模糊多准则决策方法。考虑决策者的风险态度，通过一个前景值函数将区间直觉模糊数转化为真实的数，从而得到前景决策矩阵。针对指标权重不完全已知或完全未知的情况，提出了一种新的综合考虑主客观因素的非线性优化模型来确定指标权重。此外，我们还计算了每个方案对理想解的前景投影，并根据前景投影值对所有方案进行排序。最后，通过一个实例说明了该方法的应用。
To depict the influence of decision makers' risk psychology on the interval-valued intuitionistic fuzzy multi-criteria decision-making process, this paper proposes a new method based on prospect theory. Considering the risk attitude of the decision maker, we transform interval-valued intuitionistic fuzzy numbers into real numbers via a prospect value function and consequently derive the prospect decision matrices. Regarding the criteria weights that are incompletely known or completely unknown, a new nonlinear optimization model is developed to determine the criteria weights by considering the subjective and objective factors. Furthermore, we calculate the prospect projection of each alternative for the ideal solution and rank all the alternatives according to the prospect projection values. Finally, an example is provided to illustrate the application of the developed approach.