基于直觉模糊熵的直觉语言多准则决策方法

针对现有直觉模糊熵方法中存在的一些问题,提出一种新的直觉模糊熵,并将其与现有的几种直觉模糊熵计算结果进行比较.针对准则权重信息不完全且准则值为直觉语言数的多准则决策问题,通过建立基于模糊熵的决策模型来求解准则的最优权系数,并利用直觉语言加权算数平均算子(IL-WAA)求出方案的综合准则值,进而由直觉语言数的记分函数确定方案的排序.最后,通过算例分析验证了该方法的有效性和合理性.

Intuitionistic linguistic fuzzy multi-criteria decision-making method based on intuitionistic fuzzy entropy

With respect to the limitations existed in methods for calculating entropy of intuitionistic fuzzy sets, a new
entropy for intuitionistic fuzzy sets is proposed and the result of this entropy is compared with other existing entropies.
For the intuitionistic linguistic fuzzy multi-criteria decision-making problem, in which the information on the weights of
criteria are incomplete, a linear fuzzy programming model based on intuitionistic fuzzy entropy is constructed to obtain the
criteria weights. Then, intuitionistic linguistic weighted arithmetic averaging operator is used to aggregate the intuitionistic
linguistic fuzzy information corresponding to each alternative, and the alternatives are ranked by the score function. Finally,
an illustrative example is given to verify the effectiveness and rationality of the developed approach.