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A new approach for imprecise probabilities

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  • Basili, Marcello
  • Pratelli, Luca

Abstract

This paper introduces a novel concept of interval probability measures that enables the representation of imprecise probabilities, or uncertainty, in a natural and coherent manner. Within an algebra of sets, we introduce a notion of sub–weak complementation, denoted by ψ, which assigns to each event H a corresponding event of uncertain eventualities. Interval probability measures for an event H can then be defined by taking into account its set of uncertain eventualities, which is contained in the standard complement Hc.

Suggested Citation

  • Basili, Marcello & Pratelli, Luca, 2026. "A new approach for imprecise probabilities," Mathematical Social Sciences, Elsevier, vol. 140(C).
    • Handle: RePEc:eee:matsoc:v:140:y:2026:i:c:s0165489626000168
    DOI: 10.1016/j.mathsocsci.2026.102509
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