模糊语言下的梯形模糊数心态指标群决策方法

摘要

Considering the environment of fuzzy language and trapezoidal fuzzy number, this paper presents the method for the group decision making with attitude index. Under the condition in which the information of attributes weights and decision maker weights is entirely, the attitude index is introduced. The matrix of the trapezoidal fuzzy number for fuzzy language is translated into the decision making matrix with attitude index. After solving the fuzzy object programming for the entirely information, the weights of the attitude and decision making are determined. The value of group risk attitude is got by integrating the attitude index of the decision makers, and the group comprehensive attribute values of each alternative and the priorities are achieved. A practical example proves that the method is feasible and reasonable.%在模糊语言下,提出了梯形模糊数心态指标的群决策方法.在属性权系数和决策者权系数信息都不完全的情况下,引入心态指标,将模糊语言的梯形模糊数决策矩阵转化为带心态指标的决策矩阵;利用决策的不完全信息构造Fuzzy线性规划,分别求解出属性权重和决策者权重;对决策者的心态指标进行集成得到群体风险态度,模糊集成群体风险态度与方案的群体评价值,得到整个方案集的排序.选取实例说明该方法的有效性、可行性和可操作性.