Characterization of continuous t-norms compatible with Zadeh's probability of fuzzy events
Résumé
In thisworkwestudytheconceptof PZ -compatibility,whichholdsforthoset-normsforwhichZadeh’sprobabilityoffuzzy eventsfulfillsKolmogorov’saxioms.WhetheraprobabilitysatisfiesKolmogorov’saxiomsornotdependsalmostexclusivelyon the t-normanddualt-conormusedtodefineintersectionandunion,respectively,offuzzysets.Inordertobetterunderstandfuzzy probability theory,weprovideacompletecharacterizationofthe PZ -compatible continuoust-norms.