Multi-criteria decision-making methods based on the Hausdorff distance of hesitant fuzzy linguistic numbers

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• 作者：Jian-qiang Wang ; Jia-ting Wu ; Jing Wang ; Hong-yu Zhang ; Xiao-hong Chen
• 关键词：Multi ; criteria decision ; making ; Hesitant fuzzy linguistic set ; Hausdorff distance ; TOPSIS ; TODIM
• 刊名：Soft Computing - A Fusion of Foundations, Methodologies and Applications
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：20
• 期：4
• 页码：1621-1633
• 全文大小：553 KB
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• 作者单位：Jian-qiang Wang (1)
  Jia-ting Wu (1)
  Jing Wang (1)
  Hong-yu Zhang (1)
  Xiao-hong Chen (1)
  
  1. School of Business, Central South University, Changsha, 410083, 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

A hesitant fuzzy linguistic set is an extension of both a linguistic term set and a hesitant fuzzy set. It combines a quantitative evaluation with a qualitative evaluation, which can describe the real preferences of decision makers and reflect their uncertainty, hesitancy and inconsistency. The focus of this paper is those multi-criteria decision-making (MCDM) problems in which the criteria values take the form of hesitant fuzzy linguistic numbers (HFLNs). Having reviewed the relevant literature, the Hausdorff distance for HFLNs is provided and some linguistic scale functions are applied. Subsequently, two hesitant fuzzy linguistic MCDM methods are proposed, which are based on the proposed distance measure and the TOPSIS and TODIM methods. The first of these MCDM methods is based on complete rationality, whilst the second is based on bounded rationality. Finally, an illustrative example is provided to verify the proposed methods, which are then compared to the existing approaches.