• 论文 •

### 基于全序关系与A-DHFHW算子的DHFMAGDM方法及其应用

1. 湖南工商大学大数据与互联网创新研究院 新零售虚拟现实技术湖南省重点实验室,　长沙 410205
• 出版日期:2020-05-25 发布日期:2020-08-21

YANG Yi. A DHFMAGDM Approach Based on Total Order Relation and the A-DHFHW Operators and Its Application[J]. Journal of Systems Science and Mathematical Sciences, 2020, 40(5): 871-890.

### A DHFMAGDM Approach Based on Total Order Relation and the A-DHFHW Operators and Its Application

YANG Yi

1. Institute of Big Data and Internet Innovation, Key Laboratory of Hunan Province for New Retail Virtual Reality Technology, Hunan University of Technology and Business, Changsha 410205
• Online:2020-05-25 Published:2020-08-21

The multiple attribute group decision-making problems with unknown experts' weights are studied. Based on the score and accuracy functions, the generalized distance measure is introduced to define a total order relation, which can distinguish arbitrary different dual hesitant fuzzy numbers. Then, in order to overcome the shortcomings of the existing operators, some new Hamacher operational laws are defined, and the adjusted dual hesitant fuzzy Hamacher weighted (A-DHFHW) operators are proposed, and the intrinsic relationship between the operators and the parameter is analyzed. To obtain the object weights of the experts, the optimization model is constructed by maximizing the distance measure-based group consensus. Furthermore, a new group decision making method is proposed based on total order relation, weight optimization model and the A-DHFHW operators. Finally, the effectiveness and practicability of the proposed group decision method are verified by solving the evaluation problem of the large data analysis platform, and the influence of the parameters on the decision results is analyzed.

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