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Article Dans Une Revue Fuzzy Sets and Systems Année : 2013

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.

Dates et versions

hal-02642535 , version 1 (28-05-2020)

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Ignacio Montes, Javier Hernandez, Davide Martinetti, Susana Montes. Characterization of continuous t-norms compatible with Zadeh's probability of fuzzy events. Fuzzy Sets and Systems, 2013, 228, pp.29-43. ⟨10.1016/j.fss.2012.11.020⟩. ⟨hal-02642535⟩

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