基于诱导Choquet积分算子的群决策方法

Group Decision Making Method Based on Induced Choquet Integral Operator

研究了决策者对方案有模糊偏好且偏好间存在相互关联的群决策问题。给出了诱导Choquet积分算子的定义,研究了它的性质;探讨了它与诱导有序权重平均、Choquet积分算子之间的相互关系;利用重要指数诱导Choquet积分和偏好诱导Choquet积分算子,给出了决策者对方案的个人偏好是模糊偏好关系的一种群决策方法。最后,通过实例说明这种方法的具体应用及计算过程。

The group decision making problems with fuzzy preference relations are investigated,where there are interactions phenomena among preference of decision makers.The concept of induced Choquet integral operator is introduced.Some of its desirable properties are investigated in detail.The relationships between the induced ordered weighted averaging and Choquet integral operator are discussed.Using the importance index induced Choquet integral and preference induced Choquet integral operators,an approach to group decision making with fuzzy preference relations is given.An example is provided to show the process of calculation of the developed approaches and to demonstrate its practicality.