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
DOI: 10.12677/ORF.2022.124139, PDF,    科研立项经费支持
作者: 曾丽华, 黄文君：江西理工大学 基础课教学部，江西 南昌；舒珺怡：江西理工大学商学院，江西 南昌
关键词: 多属性决策；单值中智集；熵；指数函数；Multi-Attribute Decision Making； Single-Valued Neutrosophic Sets； Entropy； Exponential Function
摘要: 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。
Abstract: 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.
文章引用：曾丽华, 黄文君, 舒珺怡. 单值中智熵及其多属性决策模型[J]. 运筹与模糊学, 2022, 12(4): 1327-1333. https://doi.org/10.12677/ORF.2022.124139

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