文章在分析了基于结构元理论的五个模糊数排序指标(自然序、加权序、左序、右序和组合序等)的基础上,定义了模糊数排序综合指标,使得前五个模糊数排序指标是其特殊情况。综合指标同时考虑了决策者对元素权重分配的主观态度和风险偏好。数据例子表明,模糊数的排序,对不同风险偏好的决策者将有不同的结论。
In this paper, on the basis of the analysis of the five ranking indices of fuzzy numbers(natural order, weighted order, left order, right order and combined order etc) based on structured element theory, the comprehensive ranking index of fuzzy numbers is defined and the first four ranking indices are its special cases. The subjective attitude on element weight assignment and risk preference of decision maker are considered in the definition at the same time. A numerical example show that the ranking results of fuzzy numbers will draw a different conclusion for the decision makers of different risk preferences.