When fuzzy measures are upper envelopes of probability measures

DOI10.1016/S0165-0114(02)00463-3zbMath1075.28007OpenAlexW2074062191MaRDI QIDQ2572268

Volker Krätschmer

Publication date: 16 November 2005

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-0114(02)00463-3

zbMATH Keywords

fuzzy measuresinner regularityinner premeasuressemiregularityInner extensionscoherent upper probability

Mathematics Subject Classification ID

Bayesian problems; characterization of Bayes procedures (62C10) Probabilistic measure theory (60A10) Fuzzy measure theory (28E10)

Related Items

Stochastic dominance with imprecise information ⋮ Multivariate imprecise Sklar type theorems ⋮ Representation of maxitive measures: An overview ⋮ The structural analysis of fuzzy measures ⋮ Random sets as imprecise random variables ⋮ Approximations of upper and lower probabilities by measurable selections ⋮ Joint propagation of probability and possibility in risk analysis: towards a formal framework ⋮ Canonical sequences of monotone measures ⋮ Compactness in spaces of inner regular measures and a general portmanteau lemma ⋮ Upper Probabilities Attainable by Distributions of Measurable Selections ⋮ Full conglomerability

Cites Work

• A Mazur-Orlicz type theorem for submodular set functions
• When upper probabilities are possibility measures
• Capacitylike set functions and upper envelopes of measures
• Bayesian conditioning in possibility theory
• Non-additive measure and integral
• Upper envelopes of inner premeasures
• Topology and measure
• Minimax tests and the Neyman-Pearson lemma for capacities
• On the generation of tight measures
• Compactness in spaces of measures
• Measure and Integration
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