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首页> 外文期刊>Mathematical Problems in Engineering >Interval-Valued Hesitant Fuzzy Multiattribute Group Decision Making Based on Improved Hamacher Aggregation Operators and Continuous Entropy
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Interval-Valued Hesitant Fuzzy Multiattribute Group Decision Making Based on Improved Hamacher Aggregation Operators and Continuous Entropy

机译：基于改进的Hamacher聚集算子和连续熵的区间值犹豫模糊多属性群决策

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摘要

Under the interval-valued hesitant fuzzy information environment, we investigate a multiattribute group decision making (MAGDM) method with continuous entropy weights and improved Hamacher information aggregation operators. Firstly, we introduce the axiomatic definition of entropy for interval-valued hesitant fuzzy elements (IVHFEs) and construct a continuous entropy formula on the basis of the continuous ordered weighted averaging (COWA) operator. Then, based on the Hamacher t-norm and t-conorm, the adjusted operational laws for IVHFEs are defined. In order to aggregate interval-valued hesitant fuzzy information, some new improved interval-valued hesitant fuzzy Hamacher aggregation operators are investigated, including the improved interval-valued hesitant fuzzy Hamacher ordered weighted averaging (I-IVHFHOWA) operator and the improved interval-valued hesitant fuzzy Hamacher ordered weighted geometric (I-IVHFHOWG) operator, the desirable properties of which are discussed. In addition, the relationship among these proposed operators is analyzed in detail. Applying the continuous entropy and the proposed operators, an approach to MAGDM is developed. Finally, a numerical example for emergency operating center (EOC) selection is provided, and comparative analyses with existing methods are performed to demonstrate that the proposed approach is both valid and practical to deal with group decision making problems.
机译：在区间值犹豫的模糊信息环境下，我们研究了具有连续熵权和改进的Hamacher信息聚集算子的多属性群决策（MAGDM）方法。首先，我们介绍了区间值犹豫模糊元素（IVHFE）的熵的公理定义，并基于连续有序加权平均（COWA）算子构造了一个连续熵公式。然后，基于Hamacher的t-范数和t-conorm，定义了IVHFE的调整后的操作定律。为了聚合区间值犹豫模糊信息，研究了一些新的改进的区间值犹豫模糊Hamacher聚合算子，包括改进的区间值犹豫模糊Hamacher有序加权平均算子（I-IVHFHOWA）和改进的区间值犹豫模糊Hamacher有序加权几何（I-IVHFHOWG）算子，讨论了其期望的属性。此外，将详细分析这些提议的运算符之间的关系。应用连续熵和拟议的算子，开发了一种MAGDM方法。最后，给出了一个应急操作中心选择的数值例子，并与现有方法进行了比较分析，以证明所提出的方法对于处理群体决策问题既有效又实用。

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  • 来源
    《Mathematical Problems in Engineering》 |2017年第9期|2931482.1-2931482.20|共20页
  • 作者

    Liu Jun; Zhou Ning; Zhuang Li-Hua; Li Ning; Jin Fei-Fei;

  • 作者单位

    Changzhou Univ, Sch Informat Sci & Engn, Changzhou 213164, Jiangsu, Peoples R China;

    Changzhou Univ, Sch Petr Engn, Changzhou 213164, Jiangsu, Peoples R China;

    Changzhou Univ, Sch Informat Sci & Engn, Changzhou 213164, Jiangsu, Peoples R China;

    Changzhou Univ, Sch Informat Sci & Engn, Changzhou 213164, Jiangsu, Peoples R China;

    Changzhou Univ, Sch Informat Sci & Engn, Changzhou 213164, Jiangsu, Peoples R China;

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