An approach to Atanassov's interval-valued intuitionistic fuzzy multi-attribute decision making based on prospect theory
An approach to Atanassov's interval-valued intuitionistic fuzzy multi-attribute decision making based on prospect theory
复制标题
基于前景理论的阿塔纳索夫区间直觉模糊多属性决策方法
DOI：
10.1080/18756891.2015.1036224
复制
发表时间：
2015-05-04
影响因子：
2.9
通讯作者：
Chen, Xiaohong
中科院分区：
文献类型：
--
作者：
Meng, Fanyong;Tan, Chunqiao;Chen, Xiaohong
前景理论是描述不确定环境下行为决策的一种非常有效的方法。利用前景理论，提出了一种利用Atanassov区间直觉模糊信息进行多属性决策的方法。该方法首先利用前景理论中的值函数将Atanassov的区间直觉模糊变量转化为前景值。基于期望值，得到了阿塔纳索夫直观的模糊前景损益矩阵。然后，利用Atanassov的区间直觉混合加权平均(IVIHWA)算子或Atanassov的区间直觉混合Shapley加权平均(IVIHSWA)算子，计算出各方案的综合Atanassov区间直觉模糊前景值。根据综合阿塔纳索夫区间直觉模糊前景值，给出了一种方案排序方法。最后，通过两个算例说明了该方法的可行性和有效性。
Prospect theory is a very effective method to express behavioral decision making under uncertainty. This paper attempts to develop a method to multi-attribute decision making with Atanassov's interval-valued intuitionistic fuzzy information using prospect theory. This method first transforms Atanassov's interval-valued intuitionistic fuzzy variables into the prospect values using the value function in prospect theory. Based on the aspiration levels, Atanassov's intuitionistic fuzzy prospect gain and loss matrices are obtained. Then, using the Atanassov's interval-valued intuitionistic hybrid weight averaging (IVIHWA) operator or the Atanassov's interval-valued intuitionistic hybrid Shapley weight averaging (IVIHSWA) operator, the comprehensive Atanassov's interval-valued intuitionistic fuzzy prospect value of each alternative is calculated. According to the comprehensive Atanassov's interval-valued intuitionistic fuzzy prospect values, a ranking method of alternatives is presented. Finally, two illustrative examples are selected to show the feasibility and availability of the proposed method.