基于Z-number Clouds距离的多属性决策模型及其应用

Multi-attribute Decision-making Model Based on Z-number Clouds Distance and Its Application

针对不确定环境中的决策问题,提出一种基于Z-number Clouds(ZCs)距离的多属性决策方法。结合语言型Z-numbers(LZNs)和语言尺度函数(LSF)提出一种将不确定变量Z-number转换为Z-number Clouds的新方法;在兼顾Z-number和云模型在不确定环境中表达的随机性和模糊性的情况下,通过定义ZCs距离度量了两个ZCs之间的不确定性程度;基于ZCs距离和概率法给出了属性权重计算公式,结合属性权重和有向距离矩阵建立一种新的多属性决策方法;通过新能源汽车性能评估实例验证了所提出多属性决策方法的有效性和可行性。

For decision-making problems in uncertain environment,a multi-attribute decision-making method based on Z-number Clouds(ZCs)distance is proposed.First,a new conversion method for converting uncertain variables Z-number into Z-number Clouds is proposed by combining linguistic Z-numbers(LZNs)and linguistic scale functions(LSF).In the case of randomness and ambiguity expressed in an uncertain environment,the degree of uncertainty of the two ZCs is measured by defining the ZCs distance.Then,the attribute weight calculation formula is given based on the ZCs distance and probability method,and a new decision-making method has been proposed based on attribute weights and the directional distance matrix.Finally,the effectiveness and feasibility of the proposed multi-attribute decision-making method is verified by an example of new energy vehicle performance evaluation.