Transitivity in coherence-based probability logic

Giuseppe Sanfilippo, Angelo Gilio, Niki Pfeifer

Risultato della ricerca: Article

21 Citazioni (Scopus)

Abstract

We study probabilistically informative (weak) versions of transitivity by using suitable definitions of defaults and negated defaults in the setting of coherence and imprecise probabilities. We represent p-consistent sequences of defaults and/or negated defaults by g-coherent imprecise probability assessments on the respective sequences of conditional events. Moreover, we prove the coherent probability propagation rules for Weak Transitivity and the validity of selected inference patterns by proving p-entailment of the associated knowledge bases. Finally, we apply our results to study selected probabilistic versions of classical categorical syllogisms and construct a new version of the square of opposition in terms of defaults and negated defaults.
Lingua originaleEnglish
pagine (da-a)46-54
Numero di pagine9
RivistaJournal of Applied Logic
Volume14
Stato di pubblicazionePublished - 2016

All Science Journal Classification (ASJC) codes

  • Logic
  • Applied Mathematics

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