When upper conditional probabilities are conditional possibility measures

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• 作者：Giulianella Coletti^a ; ^{giulianella.coletti@unipg.it" class="auth_mail" title="E-mail the corresponding author} ; Davide Petturiti^a ; ^{davide.petturiti@dmi.unipg.it" class="auth_mail" title="E-mail the corresponding author} ; Barbara Vantaggi^b ; ^{barbara.vantaggi@sbai.uniroma1.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Generalized Bayesian rule ; Conditional possibility ; Conditional probability ; Inference ; Upper envelope ; Weak logical independence
• 刊名：Fuzzy Sets and Systems
• 出版年：2016
• 出版时间：1 December 2016
• 年：2016
• 卷：304
• 期：Complete
• 页码：45-64
• 全文大小：487 K

文摘

Conditioning for (non-additive) uncertainty measures is still an open problem. This is essentially due to the fact that these measures can be viewed either as lower or upper probabilities or axiomatically defined, independently of probability theory. Focusing on possibility measures on finite domains, the aim is to generalize to the conditional case the interpretation of possibility measures as upper envelopes of extensions of suitable probability measures.