Skip to main content

Ranking Decision Variants by Subjective Paired Comparisons in Cases with Incomplete Data

  • Conference paper
  • First Online:
Computational Science and Its Applications — ICCSA 2003 (ICCSA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2669))

Included in the following conference series:

Abstract

The pairwise comparison method is widely used to rank a finite, usually small number of decision variants especially in a case when neither a direct evaluation nor the utility theory gives satisfactory results. In this method, an expert or a group of experts is asked to provide his/their opinions concerning each pair of factors expressing a relative importance of one variant in a pair over the second one. It happens however that an expert or few experts cannot provide his/their opinions concerning a pair or pairs of factors. In such a case the resulting judgement matrices are incomplete and a problem of estimating missing data arises. The paper addresses some issues concerning lacking data. Some numerical examples are included.

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

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. Thurstone L.L A low of comparative judgements. Psychological Rev., 34, (1927) 273–286.

    Article  Google Scholar 

  2. Thurstone, L.L. Psychophysical Analysis. American Journal of Psychology, 38, (1927b) 368–389.

    Article  Google Scholar 

  3. Thurstone, L.L. The method of paired comparisons for social values. Journal of Abnormal Social Psychology, 21, (1927c) 384–400.

    Article  Google Scholar 

  4. Saaty, T.L.: The Analytic Hierarchy Process Series I, RWS publication, 1990.

    Google Scholar 

  5. P.T. Harker, Alternative modes of questioning in the analytic hierarchy process. Mathematical Modelling 9: 3, (1987) 353–360.

    Article  MATH  MathSciNet  Google Scholar 

  6. S. Shiraishi and T. Obata and M. Daigo, Properties of a positive reciprocal matrix and their application to AHP, Journal of the Operations Research Society of Japan 41:3, (1998) 404–414.

    MATH  MathSciNet  Google Scholar 

  7. P.T. Harker, Incomplete pairwise comparisons in the analytic hierarchy process. Mathematical Modelling 9: 11, (1987) 837–848.

    Article  MathSciNet  Google Scholar 

  8. M. Kwiesielewicz The logarithmic least squares and the generalized pseudoinverse in estimating ratios, European Journal of Operational Research, 93, (1996) 611–619.

    Article  MATH  Google Scholar 

  9. E. van Uden, Estimating missing data in pairwise comparison matrices. Operational and Systems Research in the Face to Challenge the XXI Century, Methods and Techniques in Information Analysis and Decision Making (Z. Bubnicki, O. Hryniewicz and R. Kulikowski Eds.) Academic Printing House, Warsaw, (2002) II-73–II-80.

    Google Scholar 

  10. F. Carmone, Kara A., Zanakis S. H. A Monte Carlo Investigation of Incomplete Pairwise Comparison Matrices in AHP, European Journal of Operational Research, 102:3, (1997) 538–553.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kwiesielewicz, M., van Uden, E. (2003). Ranking Decision Variants by Subjective Paired Comparisons in Cases with Incomplete Data. In: Kumar, V., Gavrilova, M.L., Tan, C.J.K., L’Ecuyer, P. (eds) Computational Science and Its Applications — ICCSA 2003. ICCSA 2003. Lecture Notes in Computer Science, vol 2669. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44842-X_22

Download citation

  • DOI: https://doi.org/10.1007/3-540-44842-X_22

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40156-8

  • Online ISBN: 978-3-540-44842-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics