Skip to main content
SpringerLink
Log in

Dependent OWA Operators

  • Conference paper
Modeling Decisions for Artificial Intelligence (MDAI 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3885))

Abstract

Yager [1] introduced several families of ordered weighted averaging (OWA) operators, in which the associated weights depend on the aggregated arguments. In this paper, we develop a new dependent OWA operator, and study some of its desirable properties. The prominent characteristic of this dependent OWA operator is that it can relieve the influence of unfair arguments on the aggregated results. Finally, we give an example to illustrate the developed operator.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Yager, R.R.: Families of OWA operators. Fuzzy Sets and Systems 59, 125–148 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  2. Yager, R.R.: On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Transactions on Systems, Man, and Cybernetics 18, 183–190 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  3. Zadeh, L.A.: A computational approach to fuzzy quantifiers in natural languages. Computers & Mathematics with Applications 9, 149–184 (1983)

    Article  MathSciNet  MATH  Google Scholar 

  4. Zadeh, L.A.: A computational theory of dispositions. International Journal of Intelligent Systems 2, 39–64 (1987)

    MATH  Google Scholar 

  5. O’Hagan, M.: Aggregating template rule antecedents in real-time expert systems with fuzzy set logic. In: Proc. 22nd Ann. IEEE Asilomar Conf. on Signals, Systems and Computers, Pacific Grove, CA, pp. 681–689 (1988)

    Google Scholar 

  6. Xu, Z.S., Da, Q.L.: Approaches to obtaining the weights of the ordered weighted aggregation operators. Journal of Southeast University 33, 94–96 (2003)

    MathSciNet  Google Scholar 

  7. Filev, D.P., Yager, R.R.: On the issue of obtaining OWA operator weights. Fuzzy Sets and Systems 94, 157–169 (1998)

    Article  MathSciNet  Google Scholar 

  8. Xu, Z.S., Da, Q.L.: The uncertain OWA operator. International Journal of Intelligent Systems 17, 569–575 (2002)

    Article  MATH  Google Scholar 

  9. Xu, Z.S.: An overview of methods for determining OWA weights. International Journal of Intelligent Systems 20(8), 843–865 (2005)

    Article  MATH  Google Scholar 

  10. Fullér, R., Majlender, P.: An analytic approach for obtaining maximal entropy OWA operator weights. Fuzzy Sets and Systems 124, 53–57 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  11. Yager, R.R., Filev, D.P.: Parameterized “andlike” and “orlike” OWA operators. International Journal of General Systems 22, 297–316 (1994)

    Article  Google Scholar 

  12. Xu, Z.S.: Uncertain Multiple Attribute Decision Making: Methods and Applications. Tsinghua University Press, Beijing (2004)

    Google Scholar 

  13. Filev, D.P., Yager, R.R.: Learning OWA operator weights from data. In: Proc. 3rd IEEE International Conference on Fuzzy Systems, Orlando, FL, pp. 468–473 (1994)

    Google Scholar 

  14. Yager, R.R., Filev, D.P.: Induced ordered weighted averaging operators. IEEE Transactions on Systems, Man, and Cybernetics—Part B 29, 141–150 (1999)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Management Science and Engineering, School of Economics and Management, Tsinghua University, Beijing, 100084, China

    Zeshui Xu

Authors
  1. Zeshui Xu
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. IIIA, Artificial Intelligence Research Institute CSIC, Spanish National Research Council, Campus UAB s/n, Catalonia, 08193, Bellaterra, Spain

    Vicenç Torra

  2. Toho Gakuen, 3-1-10 Naka, 186-0004, Tokyo, Kunitachi, Japan

    Yasuo Narukawa

  3. Department of Computer Science and Mathematics Intelligent Technologies for Advanced Knowledge Acquisition Research Group,, University Rovira i Virgili, Av. Països Catalans, 26., 43007, Tarragona, Catalonia, Spain

    Aïda Valls

  4. Department of Computer Engineering and Mathematics, Universitat Rovira i Virgili, UNESCO Chair in Data Privacy, Av. Països Catalans 26, E-43007, Tarragona, Catalonia, Spain

    Josep Domingo-Ferrer

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Xu, Z. (2006). Dependent OWA Operators. In: Torra, V., Narukawa, Y., Valls, A., Domingo-Ferrer, J. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2006. Lecture Notes in Computer Science(), vol 3885. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11681960_18

Download citation

  • DOI: https://doi.org/10.1007/11681960_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-32780-6

  • Online ISBN: 978-3-540-32781-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation