直觉模糊偏好信息下的多属性决策途径

研究了属性值为直觉模糊数且决策者对方案有偏好的模糊多属性决策问题.针对方案偏好信息以直觉判断矩阵形式给出且属性权重信息不能确知的情形,定义了加型一致性直觉判断矩阵、积型一致性直觉判断矩阵以及直觉模糊决策矩阵的得分矩阵等新概念.基于得分矩阵和直觉判断矩阵,分别利用两种转换函数建立一些简洁的线性规划模型.通过求解这些模型获得属性的权重,进而给出了一种基于直觉模糊偏好信息的多属性决策途径.最后通过实例对该决策途径的详细过程及有效性进行了说明.

Approaches to Multiple Attribute Decision Making with Intuitionistic Fuzzy Preference Information

The fuzzy multiple attribute decision making problems are investigated,in which the attribute values are given as intuitionistic fuzzy numbers and the preference information on alternatives can be provided by decision maker.For the situations where the preference information on alternatives is expressed in intuitionistic judgment matrix and the information on attribute weights is incomplete,the concepts of additive consistent intuitionistic judgment matrix,multiplicative consistent intuitionistic judgment matrix and score matrix of intuitionistic fuzzy decision matrix,etc.,are defined.Based on the score matrix and intuitionistic judgment matrix,some simple linear programming models are established by using two transformation functions,from which the attribute weights can be derived.Then two approaches to multiple attribute decision making with intuitionistic fuzzy preference information are proposed.Finally,a practical example is used to show the process of calculation of the developed approaches and to verify their effectiveness.