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Handling Imperfect User Statements In Real-Life Decision Analysis

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  • MATS DANIELSON

    (DECIDE Research Group, Department of Informatics/ESI, Örebro University, SE-701 82 Örebro, Sweden)

Abstract

Using established techniques from operations research (linear programming) and well-known measures of probability and value, we present a computational representation and evaluation of imperfect, imprecise user statements in decision analysis. The presentation starts with the structure of a decision problem and a model of the situation is discussed. The courses of action are represented by consequence sets in the decision structure. Statements could have an interval form to reflect the translation of the imperfect input data.Statistical decision theory is utilized to discriminate between alternatives. Dealing with imprecise statements means encountering decision situations where different alternatives are to prefer in different parts of the consistent solution space to the constraints. Consequently, selection rules based on traditional admissibility are not enough to indicate preferred choices. New admissibility concepts and a procedure for analyzing such situations are discussed. An algorithm for optimizing bilinear functions that does not even require LP is presented.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:ijitdm:v:03:y:2004:i:03:n:s0219622004001173
    DOI: 10.1142/S0219622004001173
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    References listed on IDEAS

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    1. Jonas Ljungberg (ed.), 2004. "The Price of the Euro," Palgrave Macmillan Books, Palgrave Macmillan, number 978-0-230-52380-7, December.
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    Cited by:

    1. Nadejda Komendantova & Leena Marashdeh & Love Ekenberg & Mats Danielson & Franziska Dettner & Simon Hilpert & Clemens Wingenbach & Kholoud Hassouneh & Ahmed Al-Salaymeh, 2020. "Water–Energy Nexus: Addressing Stakeholder Preferences in Jordan," Sustainability, MDPI, vol. 12(15), pages 1-16, July.
    2. Mats Danielson & Love Ekenberg & Jim Idefeldt & Aron Larsson, 2007. "Using a Software Tool for Public Decision Analysis: The Case of Nacka Municipality," Decision Analysis, INFORMS, vol. 4(2), pages 76-90, June.
    3. 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.
    4. Mustajoki, Jyri, 2012. "Effects of imprecise weighting in hierarchical preference programming," European Journal of Operational Research, Elsevier, vol. 218(1), pages 193-201.
    5. Karin Hansson & Aron Larsson & Mats Danielson & Love Ekenberg, 2011. "Coping with Complex Environmental and Societal Flood Risk Management Decisions: An Integrated Multi-criteria Framework," Sustainability, MDPI, vol. 3(9), pages 1-24, August.
    6. 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.

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