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Cardinal and Rank Ordering of Criteria — Addressing Prescription within Weight Elicitation

Author

Listed:
  • Aron Larsson

    (Department of Computer and Systems Sciences, Stockholm University, Forum 100, SE-164 40 Kista, Sweden†Department of Information Technology and Media, Mid Sweden University, SE-851 70 Sundsvall, Sweden)

  • Mona Riabacke

    (Department of Computer and Systems Sciences, Stockholm University, Forum 100, SE-164 40 Kista, Sweden)

  • Mats Danielson

    (Department of Computer and Systems Sciences, Stockholm University, Forum 100, SE-164 40 Kista, Sweden)

  • Love Ekenberg

    (Department of Computer and Systems Sciences, Stockholm University, Forum 100, SE-164 40 Kista, Sweden)

Abstract

Weight elicitation methods in multi-criteria decision analysis (MCDA) are often cognitively demanding, require too much precision, time and effort. Some of the issues may be remedied by connecting elicitation methods to an inference engine facilitating a quick and easy method for decision-makers to use weaker input statements, yet being able to utilize these statements in a method for decision evaluation. In this paper, we propose a fast and practically useful weight elicitation method, answering to many of the requirements. The method builds on the ideas of rank-order methods, but can also take imprecise cardinal information into account. The method is subsequently employed in two real-life case studies and compared to a case where a simple ratio weight procedure using exact input statements was employed.

Suggested Citation

  • Aron Larsson & Mona Riabacke & Mats Danielson & Love Ekenberg, 2015. "Cardinal and Rank Ordering of Criteria — Addressing Prescription within Weight Elicitation," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 1299-1330, November.
  • Handle: RePEc:wsi:ijitdm:v:14:y:2015:i:06:n:s021962201450059x
    DOI: 10.1142/S021962201450059X
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    References listed on IDEAS

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    1. Ting-Yu Chen, 2012. "Nonlinear Assignment-Based Methods For Interval-Valued Intuitionistic Fuzzy Multi-Criteria Decision Analysis With Incomplete Preference Information," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 11(04), pages 821-855.
    2. Salo, Ahti A., 1995. "Interactive decision aiding for group decision support," European Journal of Operational Research, Elsevier, vol. 84(1), pages 134-149, July.
    3. Stewart, TJ, 1992. "A critical survey on the status of multiple criteria decision making theory and practice," Omega, Elsevier, vol. 20(5-6), pages 569-586.
    4. A Morton & B Fasolo, 2009. "Behavioural decision theory for multi-criteria decision analysis: a guided tour," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(2), pages 268-275, February.
    5. Pictet, Jacques & Bollinger, Dominique, 2008. "Extended use of the cards procedure as a simple elicitation technique for MAVT. Application to public procurement in Switzerland," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1300-1307, March.
    6. Hesham K. Alfares & Salih O. Duffuaa, 2008. "Determining Aggregate Criteria Weights From Criteria Rankings By A Group Of Decision Makers," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 7(04), pages 769-781.
    7. Lev V. Utkin & Natalia V. Simanova, 2012. "The Ds/Ahp Method Under Partial Information About Criteria And Alternatives By Several Levels Of Criteria," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 11(02), pages 307-326.
    8. Ola Caster & Love Ekenberg, 2012. "Combining Second-Order Belief Distributions with Qualitative Statements in Decision Analysis," Lecture Notes in Economics and Mathematical Systems, in: Yuri Ermoliev & Marek Makowski & Kurt Marti (ed.), Managing Safety of Heterogeneous Systems, edition 127, pages 67-87, Springer.
    9. F. Hutton Barron & Bruce E. Barrett, 1996. "Decision Quality Using Ranked Attribute Weights," Management Science, INFORMS, vol. 42(11), pages 1515-1523, November.
    10. Fischer, Gregory W., 1995. "Range Sensitivity of Attribute Weights in Multiattribute Value Models," Organizational Behavior and Human Decision Processes, Elsevier, vol. 62(3), pages 252-266, June.
    11. Edwards, Ward & Barron, F. Hutton, 1994. "SMARTS and SMARTER: Improved Simple Methods for Multiattribute Utility Measurement," Organizational Behavior and Human Decision Processes, Elsevier, vol. 60(3), pages 306-325, December.
    12. E. M. Furems & O. I. Larichev & G. V. Roizenson & A. V. Lotov & K. Miettinen, 2003. "Human Behavior In A Multi-Criteria Choice Problem With Individual Tasks Of Different Difficulties," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 2(01), pages 29-40.
    13. Katrin Borcherding & Thomas Eppel & Detlof von Winterfeldt, 1991. "Comparison of Weighting Judgments in Multiattribute Utility Measurement," Management Science, INFORMS, vol. 37(12), pages 1603-1619, December.
    14. Bottomley, Paul A. & Doyle, John R., 2001. "A comparison of three weight elicitation methods: good, better, and best," Omega, Elsevier, vol. 29(6), pages 553-560, December.
    15. Rüdiger von Nitzsch & Martin Weber, 1993. "The Effect of Attribute Ranges on Weights in Multiattribute Utility Measurements," Management Science, INFORMS, vol. 39(8), pages 937-943, August.
    16. Mats Danielson, 2004. "Handling Imperfect User Statements In Real-Life Decision Analysis," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 513-534.
    17. Sajjad Zahir, 2006. "Eliciting Ratio Preferences For The Analytic Hierarchy Process With Visual Interfaces: A New Mode Of Preference Measurement," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 245-261.
    18. Tversky, Amos & Kahneman, Daniel, 1986. "Rational Choice and the Framing of Decisions," The Journal of Business, University of Chicago Press, vol. 59(4), pages 251-278, October.
    19. A Jessop, 2011. "Using imprecise estimates for weights," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(6), pages 1048-1055, June.
    20. Jyrki Wallenius & James S. Dyer & Peter C. Fishburn & Ralph E. Steuer & Stanley Zionts & Kalyanmoy Deb, 2008. "Multiple Criteria Decision Making, Multiattribute Utility Theory: Recent Accomplishments and What Lies Ahead," Management Science, INFORMS, vol. 54(7), pages 1336-1349, July.
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