Skip to main content
SpringerLink
Log in

An intuitionistic fuzzy weighted OWA operator and its application

  • Original Article
  • Published:
International Journal of Machine Learning and Cybernetics Aims and scope Submit manuscript

Abstract

In this paper, we define a new operator, an intuitionistic fuzzy weighted OWA (IFWOWA) operator, to aggregate intuitionistic fuzzy information. The proposed operator combines the advantages of the intuitionistic fuzzy weighted averaging (IFWA) operator and the intuitionistic fuzzy ordered weighted averaging (IFOWA) operator. We then study its properties, compare it with the intuitionistic fuzzy hybrid averaging (IFHA) operator, and use it to solve multi-attribute group decision making problem with intuitionistic fuzzy information.

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

  1. Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96

    Article  MathSciNet  MATH  Google Scholar 

  2. Atanassov K (1999) Intuitionistic fuzzy sets: theory and applications. Physica, Heidelberg

  3. Burillo P, Bustince H (1996) Vague sets are intuitionistic sets. Fuzzy Sets Syst 79:403–405

    Article  MathSciNet  MATH  Google Scholar 

  4. Chan FTS, Kumar N (2007) Global supplier development considering risk factors using fuzzy extended AHP-base approach. Omega 35:417–431

    Article  Google Scholar 

  5. Chen SM, Tan JM (1994) Handling multi-criteria fuzzy decision making problems based on vague set theory. Fuzzy Sets Syst 67(2):163–172

    Article  MathSciNet  MATH  Google Scholar 

  6. De SK, Biswas R, Roy AR (2001) An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets Syst 117(2):209–213

    Article  MathSciNet  MATH  Google Scholar 

  7. Gau WL, Buehrer DJ (1993) Vague sets. IEEE Transact Syst Man Cybernet 23(2):610–614

    Article  MATH  Google Scholar 

  8. Hong DH, Choi CH (2000) Multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst 114:103–11

    Article  MATH  Google Scholar 

  9. Liu HW, Wang GJ (2007) Multi-criteria decision-making methods based on intuitionistic fuzzy sets. Eur J Oper Res 197:220–233

    Article  Google Scholar 

  10. Park DG et al (2009) Correlation coefficient of interval-valued intuitionistic fuzzy sets and its application to multiple attribute group decision making problems. Math Comput Model 50:1279–1293

    Article  MATH  Google Scholar 

  11. Szmidt E, Kacprzyk J (2008) A new approach to ranking alternatives expressed via intuitionistic fuzzy sets. In: Ruan D et al. (eds) Computational intelligence in decision and control, World Scientic, Singapore pp 265–270

  12. Szmidt E, Kacprzyk J (2009) Amount of information and its reliability in the ranking of Atanassovs intuitionistic fuzzy alternatives. In: Rakus-Andersson E, et al. (eds), Recent advances in decision making, SCI, vol 222, Springer, Berlin, pp 7–19

  13. Szmidt E, Kacprzyk J (2010) On an enhanced method for a more meaningful ranking of intuitionistic fuzzy alternatives. In: Rutkowski L, et al. (eds), ICAISC 2010 Part I, LNAI, vol 6113, Springer, Berlin, pp 232–239

  14. Szmidt E, Kacprzyk J (2000) Distance between intuitionistic fuzzy sets. Fuzzy Sets Syst 114:505–518

    Article  MathSciNet  MATH  Google Scholar 

  15. Torra V (1997) The weighted OWA operator. Int J Intell Syst 12:153–156

    Article  MATH  Google Scholar 

  16. Vlachos IK, Sergiadis GD (2007) Intuitionistic fuzzy information—applications to pattern recognition. Pattern Recognit Lett 28:197–206

    Article  Google Scholar 

  17. Xu ZS (2007) On similarity measures of interval-valued intuitionistic fuzzy sets and their application to pattern recognitions. J Southeast Univ (English Edition) 23(1):139–143

    MATH  Google Scholar 

  18. Xu ZS (2007) Multi-person multi-attribute decision making models under intuitionistic fuzzy environment. Fuzzy Optim Decis Mak 6(3):221–236

    Article  MathSciNet  MATH  Google Scholar 

  19. Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Transact Fuzzy Syst 15:1179–1187

    Article  Google Scholar 

  20. Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417–433

    Article  MathSciNet  MATH  Google Scholar 

  21. Xu ZS (2010) A deviation-based approach to intuitionistic fuzzy multiple attribute group decision making. Group Dec Negot 19:57–76

    Article  Google Scholar 

  22. Xu ZS (2011) Approaches to multiple attribute group decision making based on intuitionistic fuzzy power aggregation operators. Knowl Based Syst 24:749–760

    Article  Google Scholar 

  23. Xu ZS, Yager RR (2008) Dynamic intuitionistic fuzzy multi-attribute decision making. Int J Approx Reason 48:246–262

    Article  MathSciNet  MATH  Google Scholar 

  24. Yager RR (1996) Quantifier Guided Aggregation Using OWA Operators. Int J Intell Syst 11:49–73

    Article  Google Scholar 

  25. Yager RR (2008) Priotized aggregation operators. Int J Approx Reason 48:263–274

    Article  MathSciNet  MATH  Google Scholar 

  26. Zadeh LA (1965) Fuzzy sets. Inform Control 8:338–356

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

The work was partly supported by the National Natural Science Foundation of China (71171187, 11071142), Ministry of Education Foundation of Humanities and Social Sciences (10YJC630269).

Author information

Authors and Affiliations

  1. School of Business Administration, Northeastern University, Shenyang, 110004, Liaoning, China

    Xia Liang

  2. Institute of Operations Research, Qufu Normal University, Rizhao, 276826, Shandong, China

    Cuiping Wei & Zhimin Chen

Authors
  1. Xia Liang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Cuiping Wei
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zhimin Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Cuiping Wei.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liang, X., Wei, C. & Chen, Z. An intuitionistic fuzzy weighted OWA operator and its application. Int. J. Mach. Learn. & Cyber. 4, 713–719 (2013). https://doi.org/10.1007/s13042-012-0147-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13042-012-0147-z

Keywords

Search

Navigation