Abstract
The additive multi-attribute utility model is widely used in multicriteria decision-making. However, it is often not easy to elicit precise values for the scaling weights representing the relative importance of criteria. In a group decision-making context a very widespread approach is to derive incomplete information, such as weight intervals or ordinal information rather than precise weights from a negotiation process. Different approaches have been proposed to deal with such situations. We advance two approaches based on dominance measures accounting for imprecise weights and compare them with other existing approaches using Monte Carlo simulation.
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Keeney, R.L., Raiffa, H.: Decision with Multiple Objectives: Preferences and Value-Tradeoffs. Wiley, New York (1976)
Raiffa, H.: The Art and Science of Negotiation. Harvard University Press, Cambridge (1982)
Stewart, T.J.: Robustness of Additive Value Function Method in MCDM. Journal of Multi-Criteria Decision Analysis 5, 301–309 (1996)
Weber, M.: Decision Making with Incomplete Information. European Journal of Operational Research 28, 44–57 (1987)
Sarabando, P., Dias, L.C.: Simple Procedures of Choice in Multicriteria Problems without Precise Information about the Alternatives Values’, C & OR (revision), INESC-Coimbra, Technical report, pp. 1–24 (2009)
Jiménez, A., Mateos, A., Ríos-Insua, S.: Monte Carlo Simulation Techniques in a Decision Support System for Group Decision-Making. Group Decision and Negotiation 14(2), 109–130 (2005)
Mateos, A., Jiménez, A., Ríos-Insua, S.: Monte Carlo Simulation Techniques for Group Decision-Making with Incomplete Information. European Journal of Operations Research 174(3), 1842–1864 (2006)
Sage, A., White, C.C.: Ariadne: a Knowledge-Based Interactive System for Planning and Decision Support. IEEE Transactions on Systems, Management and Cybernetics, Part A: Systems and Humans 14, 35–47 (1984)
Malakooti, B.: Ranking and Screening Multiple Criteria Alternatives with Partial Information and Use of Ordinal and Cardinal Strength of Preferences. IEEE Transactions on Systems, Management and Cybernetics: Part A 30(3), 787–801 (2000)
Ahn, B.S.: Extending Malakooti’s Model for Ranking Multicriteria Alternatives with Preference Strength and Partial Information. IEEE Transactions on Systems, Management and Cybernetics, Part A: Systems and Humans 33(3), 281–287 (2003)
Eum, Y., Park, K.S., Kim, H.: Establishing Dominance and Potential Optimality in Multi-criteria Analysis with Imprecise Weights and Values. Computers and Operations Research 28(5), 397–409 (2001)
Lee, K., Park, K.S., Kim, H.: Dominance, Potential Optimality, Imprecise Information, and Hierarchical Structure in Multi-criteria Analysis’. Computers and Operations Research 29, 1267–1281 (2002)
Park, K.: Mathematical Programming Models for Characterizing Dominance and Potential Optimality when Multicriteria Alternative Values and Weights are Simultaneously Incomplete. IEEE Transactions on Systems, Management and Cybernetics, Part A: Systems and Humans 34, 601–614 (2004)
Mateos, A., Ríos-Insua, S., Jiménez, A.: Dominance, Potential Optimality and Alternative Ranking in Imprecise Decision Making. Journal of Operational Research Society 58(3), 326–336 (2007)
Ahn, B.S., Park, K.S.: Comparing Methods for Multiattribute Decision Making with Ordinal Weights’. Computers and Operations Research 35, 1660–1670 (2008)
Mateos, A., Jiménez, A., Blanco, J.F.: A MCDM Ranking Method Based on a Dominance Measure: Computational Study. Group Decision and Negotiation (2009) (in revision)
Puerto, J., Marmol, A.M., Monroy, L., Fernández, F.R.: Decision Criteria with Partial Information. International Transactions in Operational Research 7, 51–65 (2000)
Salo, A., Hämäläinen, R.P.: Preference Ratio in Multiattribute Evaluation (PRIME) - Elicitation and Decision Procedures under Incomplete Information. IEEE Transactions on Systems, Management and Cybernetics: Part A 31(6), 533–545 (2001)
Kirkwood, C.W., Corner, J.L.: The Effectiveness of Partial Information about Attribute Weights for Ranking Alternatives in Multiattribute Decision Making. Organization Behavior and Human Decision Processes 54, 456–476 (1993)
Sarabando, P., Dias, L.C.: Multi-attribute Choice with Ordinal Information: a Comparison of Different Decision Rules. IEEE Transactions on Systems, Management and Cybernetics, Part A (to appear, 2009)
Barron, F., Barrett, B.: Decision Quality Using Ranked Attribute Weights’. Management Science 42(11), 1515–1523 (1996)
Winkler, R.L., Hays, W.L.: Statistics: Probability, Inference and Decision. Holt, Rinehart & Winston, New York (1985)
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Mateos, A., Jiménez, A., Blanco, J.F. (2009). Ranking Methods Based on Dominance Measures Accounting for Imprecision. In: Rossi, F., Tsoukias, A. (eds) Algorithmic Decision Theory. ADT 2009. Lecture Notes in Computer Science(), vol 5783. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04428-1_29
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DOI: https://doi.org/10.1007/978-3-642-04428-1_29
Publisher Name: Springer, Berlin, Heidelberg
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