Skip to main content
Log in

Generalized OWA Aggregation Operators

  • Published:
Fuzzy Optimization and Decision Making Aims and scope Submit manuscript

Abstract

We extend the ordered weighted averaging (OWA) operator to a provide a new class of operators called the generalized OWA (GOWA) operators. These operators add to the OWA operator an additional parameter controlling the power to which the argument values are raised. We look at some special cases of these operators. One important case corresponds to the generalized mean and another special case is the ordered weighted geometric operator.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Chiclana, F., F. Herrera, and E. Herrera-Viedma. (2000). ''The Ordered Weighted Geometric Operator: Properties and Applications,'' Proc. of 8th Int. Conference on Information Processing and Management of Uncertainty in Knowledge-based systems, Madrid, 985-991.

  • Dyckhoff, H. and W. Pedrycz. (1984). ''Generalized Means as Model of Compensative Connectives,'' Fuzzy Sets and Systems 14, 143–154.

    Google Scholar 

  • Filev, D. P. and R. R. Yager. (1998). On the Issue of Obtaining OWA Operator Weights Fuzzy Sets and Systems 94, 157–169.

    Google Scholar 

  • Herrera, F., E. Herrera-Viedma, and F. Chiclana. (In press). ''A Study of the Origins and Uses of the Ordered Weighted Geometric Operator in Multicriteria Decision Making,'' International Journal of Intelligent Systems.

  • Hurwicz, L. (1951). ''Optimality Criteria for Decision Making Under Ignorance,'' Cowles Communication Discussion Paper, Statisticsm No. 370.

  • Sugeno, M. (1977). ''Fuzzy Measures and Fuzzy integrals: A survey''. In M. M. Gupta, G. N. Saridis, and B. R. Gaines (eds.), Fuzzy Automata and Decision Process. Amsterdam: North-Holland Pub, 89–102.

    Google Scholar 

  • Sugeno, M. and T. Murofushi. (1987). ''Choquet Iintegral as an Integral Form for a Class of Fuzzy Measures,'' Proceedings of the Second IFSA Congress, Tokyo, 408-411.

  • Xu, Z. S. and Q. L. Da (2002). ''The Ordered Weighted Geometric Averaging Operator,'' International Journal of Intelligent Systems 17, 709–716.

    Google Scholar 

  • Yager, R. R. (1988). ''On Ordered Weighted Averaging Aggregation Operators in Multi-criteria Decision Making,'' IEEE Transactions on Systems, Man and Cybernetics 18, 183–190.

    Google Scholar 

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

    Google Scholar 

  • Yager, R. R. (1996). ''Quantifier Guided Aggregation Using OWA Operators,'' International Journal of Intelligent Systems 11, 49–73.

    Google Scholar 

  • Yager, R. R. and J. Kacprzyk. (1997). The Ordered Weighted Averaging Operators: Theory and Applications. Norwell, MA: Kluwer.

    Google Scholar 

  • Zadeh, L. A. (1996). ''Fuzzy Logic = Computing with Words,'' IEEE Transactions on Fuzzy Systems 4, 103–111.

    Google Scholar 

  • Zadeh, L. A. (1999). ''From Computing with Numbers to Computing with Words-From Manipulation of Measurements to Manipulations of Perceptions,'' IEEE Transactions on Circuits and Systems 45, 105–119.

    Google Scholar 

  • Zadeh, L. A. and J. Kacprzyk. (1999). Computing with Words in Information/Intelligent Systems 1, Heidelberg: Physica-Verlag.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yager, R.R. Generalized OWA Aggregation Operators. Fuzzy Optimization and Decision Making 3, 93–107 (2004). https://doi.org/10.1023/B:FODM.0000013074.68765.97

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:FODM.0000013074.68765.97

Navigation