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Neural Computing and Applications

, Volume 31, Issue 11, pp 7017–7040 | Cite as

Some new dual hesitant fuzzy linguistic operators based on Archimedean t-norm and t-conorm

  • Nian Zhang
  • Zhigang Yao
  • Yufeng Zhou
  • Guiwu WeiEmail author
Original Article

Abstract

This paper extends Archimedean t-norm and t-conorm to aggregate the dual hesitant fuzzy linguistic information. Firstly, some basic concepts of dual hesitant fuzzy linguistic elements (DHFLEs) and operational rules of Archimedean t-norm and t-conorm are introduced. Secondly, some general operators about the DHFLEs are developed based on Archimedean t-norm and t-conorm, such as the Archimedean t-norm- and t-conorm-based dual hesitant fuzzy linguistic weighted averaging operator, Archimedean t-norm- and t-conorm-based dual hesitant fuzzy linguistic weighted geometric operator, Archimedean t-norm- and t-conorm-based generalized dual hesitant fuzzy linguistic weighted averaging operator, Archimedean t-norm- and t-conorm-based generalized dual hesitant fuzzy weighted geometric operator, which operates without loss of information, and some desirable properties of those new operators are studied in detail. Furthermore, an approach based on the proposed operators under dual hesitant fuzzy linguistic decision-making problem is presented. Finally, an example is used to show the practical advantages of the proposed method and a sensitivity analysis of the decision results is also showed as the parameter changes.

Keywords

Dual hesitant fuzzy linguistic set Archimedean t-norm Archimedean t-conorm Multi-attribute decision making Aggregation operators 

Notes

Acknowledgements

The authors would like to thank the anonymous reviewers for their insightful and constructive comments on our paper. This research was supported by the National Natural Science Foundation of China under Grant Nos. 61174149 and 71571128 and the Science and technology research project of Chongqing Municipal Education Committee (No. KJ1500603).

Compliance with ethical standards

Conflict of interest

The authors declare no conflict of interest regarding the publication of this article.

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Copyright information

© The Natural Computing Applications Forum 2018

Authors and Affiliations

  • Nian Zhang
    • 1
  • Zhigang Yao
    • 2
  • Yufeng Zhou
    • 3
  • Guiwu Wei
    • 4
    Email author
  1. 1.School of Economics and ManagementChongqing University of Posts and TelecommunicationsChongqingPeople’s Republic of China
  2. 2.School of Economic and managementSouthwest Jiaotong UniversityChengduPeople’s Republic of China
  3. 3.School of Business PlanningChongqing Technology and Business UniversityChongqingPeople’s Republic of China
  4. 4.School of BusinessSichuan Normal UniversityChengduPeople’s Republic of China

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