Skip to main content
SpringerLink
Log in
Book cover

Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems pp 249–257Cite as

Priority Elicitation in the AHP by a Pareto Envelope-Based Selection Algorithm

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 634))

Abstract

This paper is concerned with the problem of deriving priorities (criteria weights and scores of alternatives) from pairwise comparison judgments, in the framework of the Analytical Hierarchy Process. The elicitation of priorities is represented as a multi-criteria optimization problem and the multiobjective evolutionary algorithm PESA-II is applied for its solving. The method and the performance of the evolutionary algorithm are illustrated by an example, and the results are compared to those obtained by other algorithms.

This is a preview of subscription content, 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   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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

Learn about institutional subscriptions

References

  • Coello Coello, C. A. (2006). Evolutionary multi-objective optimization: a historical view of the field. IEEE Computational Intelligence Magazine, 1(1), 28–36.

    Article  Google Scholar 

  • Corne, D. W., Jerram, N. R., Knowles, J. D., & Oates, M. J. (2001). PESA-II: region-based Selection in Evolutionary Multiobjective Optimization. In Proceedings of the Genetic and Evolutionary Computation Conference (GECCO’2001), (pp. 283–290).

    Google Scholar 

  • Deb, K. (1999). Evolutionary algorithms for multi-criterion optimization in engineering design. Chichester, UK: Wiley.

    Google Scholar 

  • Golany, B., & Kress, M. (1993). A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices. European Journal of Operational Research, 69, 210–220.

    Article  Google Scholar 

  • Mikhailov, L. (2004). Deriving priorities from ratio-scale comparison judgements: A multiple objective approach. In Proceedings of the 17th International Conference MCDM’2004, Whistler, Canada.

    Google Scholar 

  • Mikhailov, L. (2006). Multiobjective prioritisation in the analytic hierarchy process using evolutionary computing. In A. Tiwari, J. Knowles, E. Avineri, K. Dahal, & R. Roy (Eds.), Applications of soft computing: recent trends pp. 321–330. Berlin: Springer,.

    Chapter  Google Scholar 

  • Saaty, T., & Vargas, L. (1984). Comparison of eigenvalue, logarithmic least squares and least squares methods in estimation ratios. Mathematical Modeling, 5, 309–324.

    Article  Google Scholar 

  • Saaty, T. (1977). A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology, 15, 234–281.

    Article  Google Scholar 

  • Sawaragi, Y., Nakayama, H., & Tanino, T. (1985). Theory of multiobjective optimization. Orlando: Academic.

    Google Scholar 

  • Veldhuizen, D., & Lamont, G. (2000). Multiobjective evolutionary algorithms: analyzing the state-of-the-art. Evolutionary Computing, 8, 125–147.

    Article  Google Scholar 

  • Zitzler, E., Laumanns, M., & Bleuler, S. (2004). A tutorial on evolutionary multiobjective optimization. LNEMS, 535, 3–37.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Manchester Business School, University of Manchester, Booth Street East, Manchester, M15 6PB, UK

    Ludmil Mikhailov

Authors
  1. Ludmil Mikhailov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Joshua Knowles
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ludmil Mikhailov .

Editor information

Editors and Affiliations

  1. Dept. Engineering Science, University of Auckland, Auckland, New Zealand

    Matthias Ehrgott

  2. Login GmbH, Wilhelmstraße 45, Schwelm, 58332, Germany

    Boris Naujoks

  3. Dept. Statistical Sciences, University of Cape Town, Rondebosch, 7701, South Africa

    Theodor J. Stewart

  4. and Business Administration, Helsinki School of Economics, Runeberginkatu 14-16, Helsinki, 00100, Finland

    Jyrki Wallenius

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mikhailov, L., Knowles, J. (2010). Priority Elicitation in the AHP by a Pareto Envelope-Based Selection Algorithm. In: Ehrgott, M., Naujoks, B., Stewart, T., Wallenius, J. (eds) Multiple Criteria Decision Making for Sustainable Energy and Transportation Systems. Lecture Notes in Economics and Mathematical Systems, vol 634. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04045-0_21

Download citation

Publish with us

Policies and ethics

Search

Navigation