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International Conference on Group Decision and Negotiation

GDN 2015: Outlooks and Insights on Group Decision and Negotiation pp 171–182Cite as

Multiple Attribute Group Decision Making Under Hesitant Fuzzy Environment

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Part of the book series: Lecture Notes in Business Information Processing ((LNBIP,volume 218))

Abstract

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.

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Acknowledgements

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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Authors and Affiliations

  1. School of Economics and Management, Guangxi Normal University, Guilin, 541004, China

    Weize Wang , Qi-An Lu & Li Yang

Authors
  1. Weize Wang
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  2. Qi-An Lu
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  3. Li Yang
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Corresponding author

Correspondence to Weize Wang .

Editor information

Editors and Affiliations

  1. Warsaw School of Economics, Warsaw, Poland

    Bogumił Kamiński

  2. Concordia University, Montreal, Québec, Canada

    Gregory E. Kersten

  3. Warsaw School of Economics, Warsaw, Poland

    Tomasz Szapiro

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Wang , W., Lu, QA., Yang, L. (2015). Multiple Attribute Group Decision Making Under Hesitant Fuzzy Environment. In: Kamiński, B., Kersten, G., Szapiro, T. (eds) Outlooks and Insights on Group Decision and Negotiation. GDN 2015. Lecture Notes in Business Information Processing, vol 218. Springer, Cham. https://doi.org/10.1007/978-3-319-19515-5_14

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  • DOI: https://doi.org/10.1007/978-3-319-19515-5_14

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-19514-8

  • Online ISBN: 978-3-319-19515-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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