单值中智熵及其多属性决策模型

Single-Valued Neutrosophic Entropy and Its Multi-Attribute Decision-Making Model

针对评价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,建立了基于单值中智熵的多属性决策模型。在该模型的建立过程中,首先根据单值中智熵的定义,利用指数函数构造了一个单值中智数信息测度公式,并证明其满足单值中智熵的四个条件;然后,运用提出的熵公式,结合距离和贴近度,构建了一种单值中智多属性决策模型;最后,通过实例验证模型的合理性和有效性。

A multi-attribute decision making (MADM) model based on single-valued neutrosophic entropy is established for the MADM problem where the evaluation information is a single-valued neutrosophic valued (SVNV) and the attribute weights are completely unknown. In the process of establishing the model, firstly, according to the definition of single-valued neutrosophic entropy, based on exponential function, a formula of intelligence information measure in SVNV is constructed, and it is proved that it satisfies the four conditions of single-valued neutrosophic entropy;Then, using the entropy formula, combining distance and closeness, a single-valued neutrosophic valued MADM model is constructed;Finally, the rationality and validity of the model are verified by an example.