针对属性值为直觉梯形模糊数且属性存在关联性的风险决策问题,提出一种基于累积前景理论和Cho-quet积分的直觉梯形模糊多属性决策方法。根据直觉梯形模糊数距离公式定义了直觉梯形模糊信息的前景价值函数,通过价值函数和决策权重函数计算方案单属性前景值,并运用Choquet积分融合属性间存在关联性的前景价值信息获得方案综合前景值,根据综合前景值的大小实现方案的排序和优选。风险投资实例分析说明了该方法的可行性。
For risk decision making problems where attribute values are in the form of intuitionistic trapezoidal fuzzy numbers and attributes are associated with each other, this paper proposed an intuitionistic trapezoidal fuzzy multi-attribute decision making method based on cumulative prospect theory and Choquet integral. Firstly, this method defined a prospect value func- tion of intuitionistic trapezoidal fuzzy numbers based on distance between intuitionistic trapezoidal fuzzy numbers, then calcu- lated prospect values of attributes for each alternative by using value function and weight function, further, it used Choquet in- tegral to fusion prospect values of the associated attributes for each alternative, and obtaind comprehensive prospect values ; fi- nally, sorted the alternatives according to comprehensive prospects value. An example of risk investment shows the feasibility of the proposed method.