基于单值中智模型的数据产品服务商选择

The Selection of Data Product Service Provider Based on the Single-valued Neutrosophic Model

针对评估信息为单值中智数且属性权重完全未知的多属性决策问题,建立一种基于单值中智熵的多属性决策模型。首先,引入了新的单值中智熵的公理化定义;其次,运用余弦函数,提出了一种衡量单值中智数不确定性的信息熵公式,并证明其满足单值中智熵的4个公理化条件;然后以不确定信息最小化为准则设计最优化模型,确定属性权重,并构建一种属性权重完全未知的单值中智多属性决策方法;最后,将提出的决策方法运用于数据产品服务商的选择问题,并通过对比分析说明了本文方法的合理性与有效性。

For the single-valued neutrosophic multi-attribute decision making(MADM) problems that the attribute weights are completely unknown, a novel MADM method is developed on the basis of single-valued neutrosophic entropy. First, a new axiomatic definition of single-valued neutrosophic entropy is introduced. Then, by using the cosine function, a single-valued neutrosophic information entropy formula is constructed to measure the uncertainty of SVNV, and it is proved that the constructed formula satisfies the four axiomatic requirements of single-valued neutrosophic entropy. In addition, a programming model is proposed to determine optimal attribute weights with the principle of minimum uncertain information, and a single-valued neutrosophic MADM method is investigated that the attribute weights are completely unknown. In the end, a numerical example of selection for data product service provider is provided, and the rationality and effectiveness of the developed method are certified by comparing with the existing method.