Skip to main content

On the Problem of Group Decision Making Based on Intuitionistic Fuzzy Judgment Matrices

  • Conference paper
  • 1391 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4688))

Abstract

The problem of group decision making based on intuitionistic fuzzy judgment matrix is investigated. Approaches to intuitionistic fuzzy group decision making are proposed from three different preference views. Using the operations of intuitionistic fuzzy values, the ranking method of intuitionistic fuzzy judgment matrix is given. It is illustrated by a numerical example that the approaches proposed are in accord with the rules of group decision making.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Qiu, W.H.: Management Decisions and Entropy in Appliaction. Machine Press, Beijing (2002)

    Google Scholar 

  2. Chen, Y., Fan, Z.P.: Study on the adverse judgment problem for group decision making based on linguistic judgment matrices. Journal of Systems Engineering, 211–215 (2005)

    Google Scholar 

  3. Tan, C.Q., Zhang, Q.: Aggregation of opinion in group decision making based on intuitionistic fuzzy distances. Mathematics in practice and theory, 119–124 (2006)

    Google Scholar 

  4. Zadeh, L.A.: Fuzzy sets, Information and Control, 338–353 (1965)

    Google Scholar 

  5. Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 87–96 (1986)

    Google Scholar 

  6. Lei, Y.J., Wang, B.S., Miao, G.Q.: On the intuitionistic fuzzy relations with compositional operations. Systems Engineering-Theory and Practice, 113–118 (2006)

    Google Scholar 

  7. Li, D.F.: Multiattribute decision making models and methods using intuitionistic fuzzy sets. Journal of Computer and System Sciences, 73–85 (2005)

    Google Scholar 

  8. Dimitrov, D.: The Paretian liberal with intuitionistic fuzzy preferences: A result, Soc. Choice Welfare, 149–156 (2004)

    Google Scholar 

  9. CSzmidt, E., Kacprzyk, J.: A new concept of a similarity measure for intuitionistic fuzzy sets and its use in group decision making. Lecture Notes in Computer Science, pp. 272–282 (2005)

    Google Scholar 

  10. Szmidt, E., Kacprzyk, J.: A consensus-reaching process under intuitionistic fuzzy preference relations. International Journal of Intelligent Systems, 837–852 (2003)

    Google Scholar 

  11. Pankowska, A., Wygralak, M.: General IF-sets with triangular norms and their applications to group decision making. Information Sciences, 2713–2754 (2006)

    Google Scholar 

  12. Xu, Z.S., Yager, R.R.: Some geometric aggregation operators based on intuitionistic. International Journal of General Systems, 417–433 (2006)

    Google Scholar 

  13. Horn, R.A., Johnson, C.R.: Matrix Analysis. Cambridge University Press, Cambridge (1990)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Kang Li Minrui Fei George William Irwin Shiwei Ma

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Gong, Z. (2007). On the Problem of Group Decision Making Based on Intuitionistic Fuzzy Judgment Matrices. In: Li, K., Fei, M., Irwin, G.W., Ma, S. (eds) Bio-Inspired Computational Intelligence and Applications. LSMS 2007. Lecture Notes in Computer Science, vol 4688. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74769-7_35

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74769-7_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74768-0

  • Online ISBN: 978-3-540-74769-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics