单值中智信息熵及其多属性决策方法

Single-valued neutrosophic information entropy and its application to multi-attribute decision making method

针对评估信息为单值中智数的多属性决策问题,建立了基于单值中智熵的多属性决策方法。首先,针对现有单值中智熵定义的不足,引入了新的单值中智熵的公理化定义;其次,基于三角函数,设计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四个公理化条件;然后,运用提出的熵公式,并结合Lagrange乘数法和贴近度,构建了一种新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验证该方法的合理性与有效性。

For the Multi-Attribute Decision Making(MADM)problems in which the evaluation information is Single-Valued Neutrosophic Value(SVNV),a novel MADM method is developed on the basis of single-valued neutrosophic entropy.Firstly,in the light of the drawbacks of the existing concept for single-valued neutrosophic entropy,a new axiomatic definition of single-valued neutrosophic entropy is introduced.Then,based on the trigonometric functions,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.Furthermore,by utilizing the Lagrange Multiplier Method and closeness degree,a new single-valued neutrosophic MADM method based on the proposed entropy is investigated.Finally,a numerical example of selection for data product service provider is provided to certify the rationality and effectiveness of the developed method.