Some generalized interval-valued hesitant uncertain linguistic aggregation operators and their applications to multiple attribute group decision making

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• 作者：Xiaoyue Liu ; Yanbing Ju ; Shanghong Yang
• 关键词：Multiple attribute group decision making (MAGDM) ; Uncertain linguistic variable ; Hesitant fuzzy uncertain linguistic set (HFULS) ; Interval ; valued hesitant uncertain linguistic set (IVHULS) ; Generalized interval ; valued hesitant uncertain linguistic aggregation operators
• 刊名：Soft Computing - A Fusion of Foundations, Methodologies and Applications
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：20
• 期：2
• 页码：495-510
• 全文大小：572 KB
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• 作者单位：Xiaoyue Liu (1)
  Yanbing Ju (1)
  Shanghong Yang (1)
  
  1. School of Management and Economics, Beijing Institute of Technology, Beijing, 100081, China
  
• 刊物类别：Engineering
• 刊物主题：Numerical and Computational Methods in Engineering
  Theory of Computation
  Computing Methodologies
  Mathematical Logic and Foundations
  Control Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1433-7479

文摘

With respect to multiple attribute group decision making (MAGDM) problems in which the assessment values of attributes take the form of interval-valued hesitant uncertain linguistic elements, a novel MAGDM method is proposed in this paper. Firstly, the concept, operational laws and score function of interval-valued hesitant uncertain linguistic elements (IVHULEs) are introduced. Then, based on the operational laws of IVHULEs, some generalized aggregation operators are proposed for aggregating the interval-valued hesitant uncertain linguistic information, including the generalized interval-valued hesitant uncertain linguistic weighted aggregation operators, the generalized interval-valued hesitant uncertain linguistic ordered weighted aggregation operators and the generalized interval-valued hesitant uncertain linguistic hybrid aggregation operators. Furthermore, some desirable properties of these operators and the relationships between them are discussed. Based on the proposed operators, an approach to multiple attribute group decision making with unknown weight information is developed under interval-valued hesitant uncertain linguistic environment. Finally, a numerical example is given to illustrate the application of the proposed method and to demonstrate its practicality and effectiveness.