Skip to main content
SpringerLink
Log in

A note on “Picture 2-tuple linguistic aggregation operators in multiple attribute decision making”

  • Methodologies and Application
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

By combining picture fuzzy set and 2-tuple linguistic representation model, Wei et al. (Soft Comput 22(3):989–1002, 2018) proposed the concept of picture 2-tuple linguistic set and presented some operational laws of picture 2-tuple linguistic numbers (P2TLNs). On the basis of operational laws of P2TLNs, some picture 2-tuple linguistic aggregation operators have been further developed. However, some operational laws and results derived by aggregation operators proposed by Wei et al. (Soft Comput 22(3):989–1002, 2018) are conflict with definition of picture 2-tuple linguistic number (P2TLN). In this short note, we propose some novel operational laws of P2TLNs and develop one adjusted picture 2-tuple linguistic aggregation operator, i.e., the adjusted picture 2-tuple linguistic weighted averaging operator.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96

    Article  Google Scholar 

  • Atanassov K, Gargov G (1989) Interval-valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31:343–349

    Article  MathSciNet  Google Scholar 

  • Cuong B (2013) Picture fuzzy sets-first results. Part 1. In: Seminar neuro-fuzzy systems with applications. Institute of Mathematics, Hanoi

  • He YD, Chen HY, Zhou LG, Liu JP, Tao ZF (2014) Intuitionistic fuzzy geometric interaction averaging operators and their application to multi-criteria decision making. Inf Sci 259:142–159

    Article  MathSciNet  Google Scholar 

  • Herrera F, Martínez L (2000) A 2-tuple fuzzy linguistic representation model for computing with words. IEEE Trans Fuzzy Syst 8(6):746–752

    Article  Google Scholar 

  • Wei GW, Alsaadi FE, Hayat T, Alsaedi A (2018) Picture 2-tuple linguistic aggregation operators in multiple attribute decision making. Soft Comput 22(3):989–1002

    Article  Google Scholar 

  • Zadeh LA (1965) Fuzzy Sets Inf. Control 8(3):338–353

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This research is supported by Program for New Century Excellent Talents in University (NCET-13-0037), Humanities and Social Sciences Foundation of Ministry of Education of China (14YJA630019).

Author information

Authors and Affiliations

  1. School of Management and Economics, Beijing Institute of Technology, Beijing, 100081, China

    Yanbing Ju & Dawei Ju

  2. Graduate School of Education, Peking University, Beijing, 100871, China

    Aihua Wang

Authors
  1. Yanbing Ju
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dawei Ju
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Aihua Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yanbing Ju.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

Additional information

Communicated by V. Loia.

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ju, Y., Ju, D. & Wang, A. A note on “Picture 2-tuple linguistic aggregation operators in multiple attribute decision making”. Soft Comput 24, 3937–3941 (2020). https://doi.org/10.1007/s00500-019-04162-5

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-019-04162-5

Keywords

Search

Navigation