决策者的风险偏好对决策有着重要的影响。本文通过引入反映决策者风险偏好程度的风险参数,基于直觉模糊数的隶属度、非隶属度和犹豫度,定义排序直觉模糊数的含风险参数的得分函数,并结合直觉模糊加权平均算子给出了一种属性值为直觉模糊数的多属性决策方法。通过算例阐明该方法的可行性和有效性。
Abstract. The decision maker's risk preference has important influence on decision making problems. Hence, a parameter which reflects the decision maker's risk preference is introduced in this paper. In order to rank the intuitionistic fuzzy numbers, a new score function with the risk preference is defined based on the degrees of membership, non-membership and hesitancy of the intuitionistic fuzzy numbers. Then, combining with the intuitionistic fuzzy weighted average operator, we propose a multi-attribute decision making method under the intuitionistic fuzzy environment. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the new method.