基于犹豫模糊语言熵的纯语言多属性决策方法

Pure Linguistic Multi-criteria Decision-making Method Based on Entropy Measures of HFLTSs

由于决策环境的复杂性以及人类思维的模糊性,人们所面临的犹豫语言信息多属性决策问题,其属性权重常是未知的。为解决这一问题,我们给出一种基于犹豫模糊熵的多属性决策方法。将模糊熵引入到犹豫模糊语言理论中,在提出犹豫模糊语言熵公理化定义的基础上,给出一个新的犹豫模糊语言熵计算公式。再利用文中给出的熵获取属性权重,并在此基础上计算每个方案和负理想解的贴近度,进而得到方案的排序结果。算例结果表明所给决策方法的有效性和可行性。

People always faced with multi-criteria decision making problems with hesitant fuzzy linguistic information and criteria weights are completely unknown,due to the complexity of the socio-economic environment and the ambiguity of human thinking.To solve this problem,we propose a method of multiple attribute decision making based on the HFLTSs entropy.At first,the axiomatic definition of HFLTSs entropy is presented and a corresponding formula is structured.On this basis,the optimum solutions are found by the comparison of the closeness coefficient between every choice and the negative ideal solution.The feasibility and validity of this approach are illustrated by an example.