Skip to main content
Log in

A Multi-Attribute Ranking Solutions Confirmation Procedure

  • Published:
Annals of Operations Research Aims and scope Submit manuscript

Abstract

Ranking problems arise from the knowledge of several binary relations defined on a set of alternatives, which we intend to rank. In a previous work, the authors introduced a tool to confirm the solutions of multi-attribute ranking problems as linear extensions of a weighted sum of preference relations. An extension of this technique allows the recognition of critical preference pairs of alternatives, which are often caused by inconsistencies. Herein, a confirmation procedure is introduced and applied to confirm the results obtained by a multi-attribute decision methodology on a tender for the supply of buses to the Porto Public Transport 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

  • Arrow, K.J. (1963). Social Choice and Individual Values, 2nd edn. New York: Wiley.

    Google Scholar 

  • Cardoso, D.M. and J.F. Sousa. (2003). “Numerical Tools for Multi-Attribute Ranking Problems”. NETWORKS 41(4), 229–234.

    Article  Google Scholar 

  • Dyer, J., P. Fishburn, R. Steuer, J. Wallenius, and S. Zionts. (1992). “MCDM/MAUT: The next ten years.” Management Science 38(5), 645–654.

    Article  Google Scholar 

  • Larichev, O.I. and H.M. Moshkovich. (1995). “ZAPRO-LM- A Method and System for Ordering Multiattribute Alternatives.” European Journal of Operational Research 82, 503–521.

    Article  Google Scholar 

  • Lootsma, F.A. (1992). The REMBRANDT system for multi-criteria decision analysis via pairwise comparisons or direct rating, Technical Report 92-05, Faculty of Technical Mathematics and Informatics, Delft University of Technology, Delft.

  • Olson, D.L. (2001). “Comparison of Three Multicriteria Methods to Predict Known Outcomes.” European Journal of Operational Research 130, 576–587.

    Article  Google Scholar 

  • Olson, D.L., G. Fliedner, and K. Currie. (1995). “Comparison of REMBRANDT System with Analytic Hierarchy Process.” European Journal of Operational Research 82, 522–539.

    Article  Google Scholar 

  • Roy, B. (1968). “Classement et choix en présence the points de vue multiples (la méthode ELECTRE).” Revue informatique et recherche opérationnelle, 2e année 8, 57–75.

    Google Scholar 

  • Saaty, T.L. (1980). The Analytic Hierarchy Process, New York: McGraw-Hill.

    Google Scholar 

  • Saaty, T.L. (1992). “Highlights and Critical Points in the Theory and Application of the Analytic Hierarchy Process.” European Journal of Operational Research 74, 426–447.

    Article  Google Scholar 

  • Triantaphyllou, E. (2001). Multi-Criteria Decision Making Methods: A Comparative Study, Dordrecht: Kluwer Academic Publishers.

    Google Scholar 

  • Van Huylenbroeck, G. (1995). “The Conflict Analysis Method: Bridging the Gap Between ELECTRE, PROMETHE and ORESTE.” European Journal of Operational Research 82, 490–502.

    Article  Google Scholar 

  • Zanakis, S.H., A. Solomon, N. Wishart, and S. Dublish, (1998). “Multi-Attribute Decision Making: A Simulation Comparison of Select Methods.” European Journal of Operational Research 107, 507–529.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Domingos Moreira Cardoso.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cardoso, D.M., de Sousa, J.F. A Multi-Attribute Ranking Solutions Confirmation Procedure. Ann Oper Res 138, 127–141 (2005). https://doi.org/10.1007/s10479-005-2449-y

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10479-005-2449-y

Keywords

Navigation