一种基于前景理论的三参数区间灰数型群体灰靶决策方法

考虑决策者关于指标满意域和风险态度对群体决策的影响, 提出基于前景理论的三参数区间灰数型群体灰靶决策方法. 该方法利用“奖优罚劣”的三参数区间灰数线性变换算子对原始决策信息进行规范化处理, 能够充分反映决策值是否中靶. 在此基础上, 以规范化区间的零点作为参考点, 定义前景价值函数. 依据群体一致性和极大熵原理构建决策者权重模型, 根据综合前景值的正负判断方案是否中靶. 最后, 通过实例表明了所提出方法的有效性和优越性.

A group grey target decision making method with three parameter interval grey number based on prospect theory

Considering the impact on group decision making from that every decision maker has attitude toward risk and grey targets about attributes, a method of group grey target decision making with three parameter interval grey number based on the prospect theory is proposed. A linear operator with the features of the“rewarding good and punishing bad”about three parameter interval grey number is used to standardize the decision values. The positive or negative sign of the standardized values can reflect adequately whether the attributes’ values hit the bull’s eye or not. A prospect value function is defined by using the dividing point of positive and negative as the reference point. Then, the weight model of decision maker is proposed based on group’s consistency and the maximum entropy, and the project hits bull’s eye or not is judged according to positive or negative of comprehensive prospect values. Finally, the vendor selection case shows the feasibility and superiority of the proposed method.