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International Journal of Fuzzy Systems

, Volume 21, Issue 8, pp 2373–2391 | Cite as

Interval-Valued Intuitionistic 2-Tuple Linguistic Bonferroni Mean Operators and Their Applications in Multi-attribute Group Decision Making

  • Kang Du
  • Hongjun YuanEmail author
Article
  • 48 Downloads

Abstract

The main purposes of this paper are to propose some new Bonferroni mean (BM) operators under the interval-valued intuitionistic 2-tuple linguistic environment and apply them to multi-attribute group decision-making (MAGDM) problems. In order to aggregate correlated IVI2TLVs, we propose some new interval-valued intuitionistic 2-tuple linguistic Bonferroni mean operators, including the interval-valued intuitionistic 2-tuple linguistic Bonferroni mean (IVI2TLBM) operator, the interval-valued intuitionistic 2-tuple linguistic weighted Bonferroni mean (IVI2TLWBM) operator, and the combined interval-valued intuitionistic 2-tuple linguistic weighted Bonferroni mean (CIVI2TLWBM) operator. Furthermore, a ranking method is presented to solve MAGDM problems. Finally, a real-life application of the proposed method is given, and the sensitivity analysis and comparative analysis are carried out to verify the effectiveness and feasibility of the method.

Keywords

Multi-attribute group decision making Interval-valued intuitionistic 2-tuple linguistic variables BM operator IVI2TLBM operator IVI2TLWBM operator CIVI2TLWBM operator 

Notes

Acknowledgements

This work was supported by Youth Projects of National Social Science Foundation of China (NO. 13CTJ006) and National Natural Science Foundation of China (NO. 71803001).

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Copyright information

© Taiwan Fuzzy Systems Association 2019

Authors and Affiliations

  1. 1.School of Statistics and Applied MathematicsAnhui University of Finance and EconomicsBengbuChina

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