Skip to main content

Why Should Not a Decision Analyst be Content with Only (\(n-1\)) Pairwise Comparisons? Echoes from the Literature

  • Conference paper
  • First Online:
Advances in Best-Worst Method (BWM 2022)

Part of the book series: Lecture Notes in Operations Research ((LNOR))

Included in the following conference series:

Abstract

More and more often, scholars in the field of multi-criteria decision analysis (MCDA) seem to be overly adverse towards inconsistency. While this has some reasonable justifications, hiding the dirt under the rug, by not even trying to let possible inconsistencies emerge, can have negative effects on the decision process. In other words, there may be some merit in having a decision maker being consistent when he is given the possibility of being inconsistent, but there isn’t any in having a fully consistent decision maker when he cannot be inconsistent. In the latter case, consistency of preferences cannot, by all means, be associated to the reliability of judgements. These concepts are illustrated by taking into account some recently introduced methods whose common inspiration is the Best-Worst Method.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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

References

  1. Belton, V., Stewart, T.: Multiple Criteria Decision Analysis: An Integrated Approach. Springer, Heidelberg (2002). https://doi.org/10.1007/978-1-4615-1495-4

    Book  Google Scholar 

  2. Carmone Jr., F.J., Kara, A., Zanakis, S.H.: A Monte Carlo investigation of incomplete pairwise comparison matrices in AHP. Eur. J. Oper. Res. 102(3), 538–553 (1997)

    Google Scholar 

  3. Durmić, E., Stević, Ž, Chatterjee, P., Vasiljević, M., Tomašević, M.: Sustainable supplier selection using combined FUCOM-Rough SAW model. Rep. Mech. Eng. 1(1), 34–43 (2020)

    Article  Google Scholar 

  4. Ecer, F., Pamucar, D., Mardani, A., Alrasheedi, M.: Assessment of renewable energy resources using new interval rough number extension of the level based weight assessment and combinative distance-based assessment. Renew. Energy 170, 1156–1177 (2021)

    Article  Google Scholar 

  5. Edwards, W.: Behavioral decision theory. Annu. Rev. Psychol. 12(1), 473–498 (1961)

    Article  Google Scholar 

  6. Eisenführ, F., Weber, M., Langer, T.: Rational Decision Making. Springer, Heidelberg (2010)

    Book  Google Scholar 

  7. Fishburn, P.C.: Nontransitive preferences in decision theory. J. Risk Uncertain. 4(2), 113–134 (1991)

    Article  Google Scholar 

  8. Gulliksen, H.: A least squares solution for paired comparisons with incomplete data. Psychometrika 21(2), 125–134 (1956)

    Article  Google Scholar 

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

    Article  Google Scholar 

  10. Haseli, G., Sheikh, R., Sana, S.S.: Base-criterion on multi-criteria decision-making method and its applications. Int. J. Manag. Sci. Eng. Manag. 15(2), 79–88 (2020)

    Google Scholar 

  11. Keeney, R.L., Raiffa, H.: Decisions with Multiple Objectives: Preferences and Value Trade-Offs. Cambridge University Press, Cambridge (1993)

    Book  Google Scholar 

  12. Laininen, P., Hämäläinen, R.P.: Analyzing AHP-matrices by regression. Eur. J. Oper. Res. 148(3), 514–524 (2003)

    Article  Google Scholar 

  13. Liang, F., Brunelli, M., Rezaei, J.: Consistency issues in the best worst method: measurements and thresholds. Omega 96, 102175 (2020)

    Google Scholar 

  14. Luce, R.D., Raiffa, H.: Games and Decisions: Introduction and Critical Survey. Dover Publications, Mineola (1989)

    Google Scholar 

  15. Montibeller, G., Von Winterfeldt, D.: Cognitive and motivational biases in decision and risk analysis. Risk Anal. 35(7), 1230–1251 (2015)

    Article  Google Scholar 

  16. Mostafa, A.M.: An MCDM approach for cloud computing service selection based on best-only method. IEEE Access 9, 155072–155086 (2021)

    Article  Google Scholar 

  17. Pamučar, D., Stević, Ž, Sremac, S.: A new model for determining weight coefficients of criteria in MCDM models: Full consistency method (FUCOM). Symmetry 10(9), 393 (2018)

    Article  Google Scholar 

  18. Rezaei, J.: Best-worst multi-criteria decision-making method. Omega 53, 49–57 (2015)

    Article  Google Scholar 

  19. Rezaei, J.: Anchoring bias in eliciting attribute weights and values in multi-attribute decision-making. J. Decis. Syst. 30(1), 72–96 (2021)

    Article  Google Scholar 

  20. Rezaei, J., Arab, A., Mehregan, M.: Equalizing bias in eliciting attribute weights in multiattribute decision-making: experimental research. J. Behav. Decis. Mak. 35(2), e2262 (2022)

    Article  Google Scholar 

  21. Shanteau, J., Weiss, D.J., Thomas, R.P., Pounds, J.C.: Performance-based assessment of expertise: how to decide if someone is an expert or not. Eur. J. Oper. Res. 136(2), 253–263 (2002)

    Article  Google Scholar 

  22. Shiraishi, S., Obata, T., Daigo, M.: Properties of a positive reciprocal matrix and their application to AHP. J. Oper. Res. Soc. Jpn. 41(3), 404–414 (1998)

    Google Scholar 

  23. Stević, Ž, Brković, N.: A novel integrated FUCOM-MARCOS model for evaluation of human resources in a transport company. Logistics 4(1), 4 (2020)

    Article  Google Scholar 

  24. Sugihara, K., Ishii, H., Tanaka, H.: Interval priorities in AHP by interval regression analysis. Eur. J. Oper. Res. 158(3), 745–754 (2004)

    Article  Google Scholar 

  25. Tversky, A.: Intransitivity of preferences. Psychol. Rev. 76(1), 31 (1969)

    Article  Google Scholar 

  26. Ureña, R., Chiclana, F., Morente-Molinera, J.A., Herrera-Viedma, E.: Managing incomplete preference relations in decision making: a review and future trends. Inf. Sci. 302, 14–32 (2015)

    Article  Google Scholar 

  27. Von Winterfeldt, D., Edwards, W.: Decision Analysis and Behavioral Research. Cambridge University Press, Cambridge (1986)

    Google Scholar 

  28. Žižović, M., Pamucar, D.: New model for determining criteria weights: level based weight assessment (LBWA) model. Decis. Making Appl. Manag. Eng. 2(2), 126–137 (2019)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Matteo Brunelli .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Brunelli, M. (2023). Why Should Not a Decision Analyst be Content with Only (\(n-1\)) Pairwise Comparisons? Echoes from the Literature. In: Rezaei, J., Brunelli, M., Mohammadi, M. (eds) Advances in Best-Worst Method. BWM 2022. Lecture Notes in Operations Research. Springer, Cham. https://doi.org/10.1007/978-3-031-24816-0_3

Download citation

Publish with us

Policies and ethics