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A flexible elicitation procedure for additive model scale constants

Author

Listed:
  • Adiel T. Almeida-Filho

    (CDSID - Center for Decision Systems and Information Development, Av. Acadêmico Hélio Ramos, s/n – Cidade Universitária)

  • Adiel T. Almeida

    (CDSID - Center for Decision Systems and Information Development, Av. Acadêmico Hélio Ramos, s/n – Cidade Universitária)

  • Ana Paula C. S. Costa

    (CDSID - Center for Decision Systems and Information Development, Av. Acadêmico Hélio Ramos, s/n – Cidade Universitária)

Abstract

This paper contributes to the process of eliciting additive model scale constants in order to support choice problems, thereby reducing the effort a decision maker (DM) needs to make since partial information with regard to DM preferences can be used. Procedures related to eliciting weights without a tradeoff interpretation of weights are justified based on assumptions that DM is not able to specify fixed weight values or if DM is able to do so, this would not be reliable information. As long as partial information is provided, the flexible elicitation procedure performs dominance tests based on a linear programming problem to explore the DM’s preferences as a vector space which is built using the DM’s partial information. To provide evidence of the satisfactory performance of the flexible elicitation procedure, an empirical test is presented with results that indicate that this procedure requires less effort from DMs.

Suggested Citation

  • Adiel T. Almeida-Filho & Adiel T. Almeida & Ana Paula C. S. Costa, 2017. "A flexible elicitation procedure for additive model scale constants," Annals of Operations Research, Springer, vol. 259(1), pages 65-83, December.
    • Handle: RePEc:spr:annopr:v:259:y:2017:i:1:d:10.1007_s10479-017-2519-y
    DOI: 10.1007/s10479-017-2519-y
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    References listed on IDEAS

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    1. de Almeida, Jonatas Araujo & Costa, Ana Paula Cabral Seixas & de Almeida-Filho, Adiel Teixeira, 2016. "A new method for elicitation of criteria weights in additive models: Flexible and interactive tradeoffAuthor-Name: de Almeida, Adiel Teixeira," European Journal of Operational Research, Elsevier, vol. 250(1), pages 179-191.
    2. Danielson, Mats & Ekenberg, Love, 2007. "Computing upper and lower bounds in interval decision trees," European Journal of Operational Research, Elsevier, vol. 181(2), pages 808-816, September.
    3. Salo, Ahti & Punkka, Antti, 2005. "Rank inclusion in criteria hierarchies," European Journal of Operational Research, Elsevier, vol. 163(2), pages 338-356, June.
    4. Gordon B. Hazen, 1986. "Partial Information, Dominance, and Potential Optimality in Multiattribute Utility Theory," Operations Research, INFORMS, vol. 34(2), pages 296-310, April.
    5. Punkka, Antti & Salo, Ahti, 2013. "Preference Programming with incomplete ordinal information," European Journal of Operational Research, Elsevier, vol. 231(1), pages 141-150.
    6. Weber, Martin & Borcherding, Katrin, 1993. "Behavioral influences on weight judgments in multiattribute decision making," European Journal of Operational Research, Elsevier, vol. 67(1), pages 1-12, May.
    7. 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.
    8. Ahti A. Salo & Raimo P. Hämäläinen, 1992. "Preference Assessment by Imprecise Ratio Statements," Operations Research, INFORMS, vol. 40(6), pages 1053-1061, December.
    9. Craig W. Kirkwood & Rakesh K. Sarin, 1985. "Ranking with Partial Information: A Method and an Application," Operations Research, INFORMS, vol. 33(1), pages 38-48, February.
    10. F. Hutton Barron & Bruce E. Barrett, 1996. "Decision Quality Using Ranked Attribute Weights," Management Science, INFORMS, vol. 42(11), pages 1515-1523, November.
    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. Mustajoki, Jyri, 2012. "Effects of imprecise weighting in hierarchical preference programming," European Journal of Operational Research, Elsevier, vol. 218(1), pages 193-201.
    13. Marmol, Amparo M. & Puerto, Justo & Fernandez, Francisco R., 2002. "Sequential incorporation of imprecise information in multiple criteria decision processes," European Journal of Operational Research, Elsevier, vol. 137(1), pages 123-133, February.
    14. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
    15. Ralph E. Steuer, 1976. "Multiple Objective Linear Programming with Interval Criterion Weights," Management Science, INFORMS, vol. 23(3), pages 305-316, November.
    16. 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.
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    2. Abreu Kang, Takanni Hannaka & da Costa Soares Júnior, Antônio Marques & de Almeida, Adiel Teixeira, 2018. "Evaluating electric power generation technologies: A multicriteria analysis based on the FITradeoff method," Energy, Elsevier, vol. 165(PB), pages 10-20.
    3. Madson Bruno da Silva Monte & Danielle Costa Morais, 2019. "A Decision Model for Identifying and Solving Problems in an Urban Water Supply System," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(14), pages 4835-4848, November.
    4. de Almeida Filho, Adiel T. & Clemente, Thárcylla R.N. & Morais, Danielle Costa & de Almeida, Adiel Teixeira, 2018. "Preference modeling experiments with surrogate weighting procedures for the PROMETHEE method," European Journal of Operational Research, Elsevier, vol. 264(2), pages 453-461.

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