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作 者:时恩早[1] SHI En-zao(Department of Information Engineering,Jiangsu Food and Pharmaceutical Science College,Huai'an 223003,China)
机构地区:[1]江苏食品药品职业技术学院信息工程学院,江苏淮安223003
出 处:《控制工程》2020年第2期391-395,共5页Control Engineering of China
基 金:淮安市精准农业技术实验室(HAP201703)。
摘 要: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.
关 键 词:单值中智集 信息熵 余弦函数 最优化模型 多属性决策
分 类 号:TP18[自动化与计算机技术—控制理论与控制工程]
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