Skip to main content
SpringerLink
Log in

Prioritized OWA aggregation

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

Abstract

We indicate that the problem of prioritized criteria arises in situations in which there exists a relationship between the criteria so that lack of satisfaction by the higher priority criteria cannot be readily compensated for by satisfaction by lower priority criteria. Typical of this situation is the relationship between safety and cost. We consider the problem of criteria aggregation in this environment. Central to our approach is the use of importance weights to enforce this prioritization imperative. We apply our use of priority based importance weights to the case where the scope of the criteria aggregation is an OWA type aggregation.

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

  • Chiclana, F., Herrera, F., & Herrera-Viedma, E. (2000). The ordered weighted geometric operator: properties and applications. In Proceedings of the 8th International Conference on Information Processing and Management of Uncertainty in Knowledge-based systems (pp. 985–991). Madrid.

  • Herrera F., Herrera-Viedma E., Chiclana F. (2003) A study of the origins and uses of the ordered weighted geometric operator in multicriteria decision making. International Journal of Intelligent Systems 18: 689–707

    Article  MATH  Google Scholar 

  • Kacprzyk J., Zadrozny S. (1997) Implementation of OWA operators in fuzzy querying for Microsoft Access. In: Yager R.R., Kacprzyk J. (eds) The ordered averaging operators: Theory and applications. Kluwer, Boston, pp 293–306

    Google Scholar 

  • Mesiar R., Mesiarová A. (2008) Fuzzy integrals—what are they?. International Journal of Intelligent Systems 23: 199–212

    Article  MATH  Google Scholar 

  • Mitchell H.B., Schaefer P.A. (2000) Multiple priorities in an induced ordered weighted averaging operator. International Journal of Intelligent Systems 15: 317–328

    Article  MATH  Google Scholar 

  • O’Hagan, M. (1988). Aggregating template or rule antecedents in real-time expert systems with fuzzy set logic. In Proceedings of the 22nd Annual IEEE Asilomar Conference on Signals, Systems and Computers (pp. 681–689). Pacific Grove, CA.

  • O’Hagan, M. (1990). Using maximum entropy-ordered weighted averaging to construct a fuzzy neuron. In Proceedings of the 24th Annual IEEE Asilomar Conference on Signals, Systems and Computers (pp. 618–623). Pacific Grove, CA.

  • Sugeno M. (1977) Fuzzy measures and fuzzy integrals: A survey. In: Gupta M.M., Saridis G.N., Gaines B.R. (eds) Fuzzy automata and decision process. North-Holland, Amsterdam, pp 89–102

    Google Scholar 

  • Torra V. (1997) The weighted OWA operator. International Journal of Intelligent Systems 12: 153–166

    Article  MATH  Google Scholar 

  • Torra V., Narukawa Y. (2007) Modeling decisions: Information fusion and aggregation operators. Springer, Berlin

    Google Scholar 

  • Xu Z.S., Da Q.L. (2002) The ordered weighted geometric averaging operator. International Journal of Intelligent Systems 17: 709–716

    Article  MATH  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

    Article  MATH  MathSciNet  Google Scholar 

  • Yager R.R. (1992) Applications and extensions of OWA aggregations. International Journal of Man-Machine Studies 37: 103–132

    Article  Google Scholar 

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

    Article  MATH  MathSciNet  Google Scholar 

  • Yager R.R. (1996) Quantifier guided aggregation using OWA operators. International Journal of Intelligent Systems 11: 49–73

    Article  Google Scholar 

  • Yager R.R. (1997) On the inclusion of importances in OWA aggregations. In: Yager R.R., Kacprzyk J. (eds) The ordered weighted averaging operators: Theory and applications. Kluwer, Norwell, MA, pp 41–59

    Google Scholar 

  • Yager R.R. (2008) Prioritized aggregation operators. International Journal of Approximate Reasoning 48: 263–274

    Article  MathSciNet  Google Scholar 

  • Yager R.R., Kacprzyk J. (1997) The ordered weighted averaging operators: Theory and applications. Kluwer, Norwell, MA

    Google Scholar 

  • Yager, R. R., Reformat, M., & Ly, C. (2008). Using a web PET for lexicographic multi-criteria service selection. Technical Report# MII-2807. New Rochelle, NY: Machine Intelligence Institute, Iona College.

  • Yager, R. R., Reformat, M., & Ly, C. (2008). Web PET: An on-line tool for lexicographically choosing purchases by combining user preferences and customer reviews. Technical Report# MII-2818. New Rochelle, NY: Machine Intelligence Institute, Iona College.

  • Zadeh L.A. (1983) A computational approach to fuzzy quantifiers in natural languages. Computing and Mathematics with Applications 9: 149–184

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Machine Intelligence Institute, Iona College, New Rochelle, NY, 10801, USA

    Ronald R. Yager

Authors
  1. Ronald R. Yager
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ronald R. Yager.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yager, R.R. Prioritized OWA aggregation. Fuzzy Optim Decis Making 8, 245–262 (2009). https://doi.org/10.1007/s10700-009-9063-4

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10700-009-9063-4

Keywords

Search

Navigation