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Representability of Ordinal Relations on a Set of Conditional Events

Author

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  • Giulianella Coletti
  • Barbara Vantaggi

Abstract

Any dynamic decision model should be based on conditional objects and must refer to (not necessarily structured) domains containing only the elements and the information of interest. We characterize binary relations, defined on an arbitrary set of conditional events, which are representable by a coherent generalized decomposable conditional measure and we study, in particular, the case of binary relations representable by a coherent conditional probability. Copyright Springer 2006

Suggested Citation

  • Giulianella Coletti & Barbara Vantaggi, 2006. "Representability of Ordinal Relations on a Set of Conditional Events," Theory and Decision, Springer, vol. 60(2), pages 137-174, May.
    • Handle: RePEc:kap:theord:v:60:y:2006:i:2:p:137-174
    DOI: 10.1007/s11238-005-4570-4
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    Cited by:

    1. Andrea Capotorti & Giulianella Coletti & Barbara Vantaggi, 2008. "Preferences Representable by a Lower Expectation: Some Characterizations," Theory and Decision, Springer, vol. 64(2), pages 119-146, March.
    2. Vantaggi, Barbara, 2010. "Incomplete preferences on conditional random quantities: Representability by conditional previsions," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 104-112, September.
    3. Capotorti, Andrea & Barbanera, Eva, 2012. "Credit scoring analysis using a fuzzy probabilistic rough set model," Computational Statistics & Data Analysis, Elsevier, vol. 56(4), pages 981-994.

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