基于熵和风险态度的二型模糊多属性决策方法

Type-2 fuzzy multiple attribute decision-making method based on entropy and risk attitude

针对属性权重信息完全未知的二型模糊多属性决策问题,提出了一种基于二型模糊熵和决策者风险态度的决策方法。首先,为了准确测度二型模糊集(T2FS)的不确定性,通过引入模糊因子和犹豫因子建立了二型模糊熵的公理化准则,并基于距离测度给出了对应的计算公式。其次,为了减少整体不确定信息对决策结果的影响,结合二型模糊熵构建非线性规划模型来确定属性权重。同时,将决策者的风险态度引入二型模糊信息的得分函数中并给出具体的决策步骤。最后,通过实例分析验证了该决策方法的可行性,并与现有文献对比发现该决策方法更具有灵活性。

In order to deal with the type-2 fuzzy decision-making problem that the attribute weights are unknown, a decision-making method based on type-2 fuzzy entropy and decision-maker＇s risk attitude was proposed. Firstly, the axiomatic principles of type-2 fuzzy entropy were constructed by introducing fuzzy factor and hesitancy factor to measure the uncertainty of Type-2 Fuzzy Set （T2FS）, and some formulas were also given based on different distance measures. Secondly, in order to decrease effects of decision results caused by uncertain information, a non-linear programming model combined with type-2 fuzzy entropy was constructed to determine the attribute weights. Meanwhile, a score function was proposed by considering decision-maker＇s risk attitude and the specific decision-making processes were also given. Finally, the feasibility of the proposed method was verified through an example analysis, and the flexibility of the proposed method was also been reflected by comparing with existed references.