Multiple Attribute Group Decision Making Under Hesitant Fuzzy Environment

  • Weize Wang
  • Qi-An Lu
  • Li Yang
Conference paper
Part of the Lecture Notes in Business Information Processing book series (LNBIP, volume 218)


Hesitant fuzzy set is a very useful means to depict the decision information in the process of decision making. In this paper, motivated by the extension principle of hesitant fuzzy sets, we export Einstein operations on fuzzy sets to hesitant fuzzy sets, and develop some new arithmetic averaging aggregation operators, such as the hesitant fuzzy Einstein weighted averaging (\(\mathrm{{HFW}}{\mathrm{{A}}^\varepsilon }\)) operator, hesitant fuzzy Einstein ordered weighted averaging (\(\mathrm{{HFOW}}{\mathrm{{A}}^\varepsilon }\)) operator, and hesitant fuzzy Einstein hybrid weighted averaging (\(\mathrm{{HFHW}}{\mathrm{{A}}^\varepsilon }\)) operator, for aggregating hesitant fuzzy elements. Finally, we apply the proposed operators to multiple attribute group decision making with hesitant fuzzy information.


Hesitant fuzzy set Einstein operation Hesitant fuzzy Einstein arithmetic averaging operator Multiple attribute group decision making (MAGDM) 



This work is supported by Natural Science Foundation of Guangxi Province (2014jjAA10065), Scientific Research Foundation of Higher Education of Guangxi Province (KY2015YB050) and the 2014 Doctoral Scientific Research Foundation of Guangxi Normal University.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.School of Economics and ManagementGuangxi Normal UniversityGuilinChina

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