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A subjective interpretation of Liu–Liu’s credibility measures and expectations

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  • Davide Petturiti

    (University of Perugia)

Abstract

We consider credibility measures introduced by Liu and Liu and the corresponding credibility expectations, obtained through the Choquet integral. In analogy with de Finetti’s approach to probability, we show that also for credibility measures and expectations, a subjective interpretation can be given through suitable notions of coherence. In detail, coherence can be expressed equivalently in terms of consistency, through a fair betting scheme and through a penalty criterion. Such notions of coherence rest upon the concepts of partially resolving uncertainty due to Jaffray, the notion of consonance due to Shafer and the notion of pessimism-optimism indifference introduced in this paper.

Suggested Citation

  • Davide Petturiti, 2024. "A subjective interpretation of Liu–Liu’s credibility measures and expectations," Fuzzy Optimization and Decision Making, Springer, vol. 23(1), pages 63-91, March.
    • Handle: RePEc:spr:fuzodm:v:23:y:2024:i:1:d:10.1007_s10700-023-09411-9
    DOI: 10.1007/s10700-023-09411-9
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    References listed on IDEAS

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    1. Michel Grabisch, 2016. "Set Functions, Games and Capacities in Decision Making," Theory and Decision Library C, Springer, number 978-3-319-30690-2, December.
    2. repec:spr:thdchp:978-3-319-30690-2_2 is not listed on IDEAS
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