Skip to main content

Part of the book series: Studies in Computational Intelligence ((SCI,volume 448))

Abstract

The Analytic Hierarchy Process (AHP) is a powerful process to help people to express priorities and make the best decision when both qualitative and quantitative aspects of a decision need to be considered. In this paper, in order to eliminate the influence of outliers, we use an approach based on Robust Partial Least Squares (R-PLS) regression for the computation of the values for the weights of a comparison matrix. A simulation study to compare the results with other methods for computing the weights proposed to analyze comparison matrix.

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

Access this chapter

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 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
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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. Alho, J.M., Kangas, J.: Analyzing Uncertainties in Experts’ Opinions of Forest Plan Performance. Forest Science 43(4) (1997)

    Google Scholar 

  2. Crawford, G., Williams, C.: A note on the analysis of subjective judgments matrices. Journal of Mathematical Psychology 29, 387–405 (1985)

    Article  MATH  Google Scholar 

  3. D’Apuzzo, L., Marcarelli, G., Squillante, M.: Analysis of Qualitative and Quantitative Rankings in Multicriteria Decision Making. In: Lux, T., Faggini, M. (eds.) Economics from Tradition to Complexity, pp. 157–170. Springer, Heidelberg (2009) ISBN: 978-88-470-1082-6, doi:10.1007/978-88-470-1083-3_10

    Google Scholar 

  4. Fischoff, B., Slovic, B., Lichtenstein, S.: Knowing what you want: measuring labile values. In: Wallsten, T.S. (ed.) Cognitive Processes in Choice and Decision Behavior. Lawrence Erlbaum Associates, Hillsdale (1980)

    Google Scholar 

  5. Garthwaite, P.H.: An Interpretation of Partial Least Squares. Journal of the American Statistical Association 89, 122–127 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  6. Kangas, J., Matero, J., Pukkala, T.: Using the analytic hierarchy process in planning of multiple-use forestry. A case study. In: Finnish Forest Research Institute Research, Notes 412 (1992)

    Google Scholar 

  7. Laininen, P., Hämäläinen, R.P.: Analyzing AHP-matrices by regression. European Journal of Operation Research 148, 514–524 (2003)

    Article  MATH  Google Scholar 

  8. Marcarelli, G., Simonetti, B.: Estimation of priorities in the AHP through Taxicab decomposition. In: Advances and Applications in Statistical Sciences (to appear) ISSN 0974-6811

    Google Scholar 

  9. Rousseeuw, P.J.: Least median of squares regression. Journal of the American Statistical Association 79, 871–888 (1984)

    Article  MathSciNet  MATH  Google Scholar 

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

    MATH  Google Scholar 

  11. Saaty, T.L., Vargas, L.G.: The Logic of Priorities. In: Applications in Business, Energy, Health, and Transportation. Kluwer-Nijhoff, Boston (1982)

    Google Scholar 

  12. Shepard, R.N.: A Taxanomy of Some Principal Types of Data and Multidimensional Methods for their Analysis. In: Shepard, R.N., Romney, A.K., Nerlove, S.B. (eds.) Multidimensional Scaling: Theory and Applications in the Behavioral Sciences, New York, vol. 1, pp. 21–47 (1972)

    Google Scholar 

  13. Salo, A.A.: Inconsistency analysis by approximately specified priorities. Math. Comput. Modelling 17, 123–133 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  14. Simonetti, B., Mahdi, S., Camminatiello, I.: Robust PLS Regression Based on Simple Least Squares Regression. In: Proceedings of the Conference, MTISD 2006, Procida, September 28-30 (2006)

    Google Scholar 

  15. Tucker, L.R.: Determination of Parameters of a Functional Relation by Factor Analysis. Psychometrika 23, 1 (1958)

    Article  Google Scholar 

  16. Wold, H.: Soft Modeling by Latent Variables; the Nonlinear Iterative Partial Least Squares Approach. In: Gani, J. (ed.) Perspectives in Probability and Statistics, pp. 520–540. Academic Press, London (1975)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gabriella Marcarelli .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Marcarelli, G., Simonetti, B., Ventre, V. (2013). Analyzing AHP Matrix by Robust Regression. In: Proto, A., Squillante, M., Kacprzyk, J. (eds) Advanced Dynamic Modeling of Economic and Social Systems. Studies in Computational Intelligence, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32903-6_16

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-32903-6_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-32902-9

  • Online ISBN: 978-3-642-32903-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics