考虑风险偏好的区间2型模糊多属性决策方法

针对区间2型梯形模糊集(IT2TrFS)的多属性决策问题,提出了一种考虑决策者风险偏好的多属性决策方法.首先根据决策者的风险偏好给决策者分类,提出了决策者风险偏好的度量方法,进而求得决策者风险偏好决策矩阵,并定义了新的可能度计算公式:最后通过计算符号距离得到方案的排序结果.实例分析表明该方法科学合理,决策者的不同风险偏好对决策结果存在影响,方法对比说明与已有算法相比该方法有更强的适用性:对风险偏好和风险保守的决策者同样适用.

The multi-attribute decision making methods for interval type-2 fuzzy sets considering risk preferences

For multi-attribute decision making problems multiple in interval type 2 trapezoidal fuzzy set (IT2TrFS) environment, this paper proposes a kind of ranking method based on the likelihood of risk preferences of decision makers. Firstly, decision makers are classified according to the risk preferences of decision makers and we propose measurement method of risk preferences of decision makers. Then, we obtain risk preferences decision matrix and define a new calculation formula of likelihood. Finally, we get the ranking results of alternatives by calculating the signed distance. Example analysis shows that the proposed method is scientific and reasonable and different risk preferences of decision makers have influence on the results of decision making. Comparison with previous methods shows that the proposed algorithm is more feasible:it is applicable for decision makers of both risk preferences and risk conservation.