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Qualitative possibilistic influence diagrams based on qualitative possibilistic utilities

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  • Guezguez, Wided
  • Ben Amor, Nahla
  • Mellouli, Khaled

Abstract

This paper proposes a new approach for decision making under uncertainty based on influence diagrams and possibility theory. The so-called qualitative possibilistic influence diagrams extend standard influence diagrams in order to avoid difficulties attached to the specification of both probability distributions relative to chance nodes and utilities relative to value nodes. In fact, generally, it is easier for experts to quantify dependencies between chance nodes qualitatively via possibility distributions and to provide a preferential relation between different consequences. In such a case, the possibility theory offers a suitable modeling framework. Different combinations of the quantification between chance and utility nodes offer several kinds of possibilistic influence diagrams. This paper focuses on qualitative ones and proposes an indirect evaluation method based on their transformation into possibilistic networks. The proposed approach is implemented via a possibilistic influence diagram toolbox (PIDT).

Suggested Citation

  • Guezguez, Wided & Ben Amor, Nahla & Mellouli, Khaled, 2009. "Qualitative possibilistic influence diagrams based on qualitative possibilistic utilities," European Journal of Operational Research, Elsevier, vol. 195(1), pages 223-238, May.
    • Handle: RePEc:eee:ejores:v:195:y:2009:i:1:p:223-238
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    References listed on IDEAS

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    1. Dubois, Didier & Prade, Henri & Sabbadin, Regis, 2001. "Decision-theoretic foundations of qualitative possibility theory," European Journal of Operational Research, Elsevier, vol. 128(3), pages 459-478, February.
    2. Ross D. Shachter, 1986. "Evaluating Influence Diagrams," Operations Research, INFORMS, vol. 34(6), pages 871-882, December.
    3. Shenoy, Prakash P., 1994. "A comparison of graphical techniques for decision analysis," European Journal of Operational Research, Elsevier, vol. 78(1), pages 1-21, October.
    4. Giang, Phan H. & Shenoy, Prakash P., 2005. "Two axiomatic approaches to decision making using possibility theory," European Journal of Operational Research, Elsevier, vol. 162(2), pages 450-467, April.
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