RELATIONSHIPS BETWEEN POSSIBILITY MEASURES AND NESTED RANDOM SETS

DOI10.1142/S0218488502001302zbMath1084.68129MaRDI QIDQ4822684

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Publication date: 25 October 2004

Published in: International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems (Search for Journal in Brave)

zbMATH Keywords

random setupper probabilityDempster-Shafer theory of evidencePossibility measure

Mathematics Subject Classification ID

Reasoning under uncertainty in the context of artificial intelligence (68T37)

Related Items (17)

EXTENSIONS OF PARTIAL LATTICE-VALUED POSSIBILISTIC MEASURES FROM NESTED DOMAINS ⋮ A POSSIBILISTIC APPROACH TO INVESTMENT DECISION MAKING ⋮ Conditional belief functions as lower envelopes of conditional probabilities in a finite setting ⋮ Fuzzy memberships as likelihood functions in a possibilistic framework ⋮ Sklar's theorem for minitive belief functions ⋮ Random sets, copulas and related sets of probability measures ⋮ Bivariate p-boxes and Maxitive Functions ⋮ Generalized representation theorem and its application to the construction of fuzzy sets: existence and uniqueness ⋮ Coherent updating of non-additive measures ⋮ Statistical Estimations of Lattice-Valued Possibilistic Distributions ⋮ Upper and lower probabilities induced by a fuzzy random variable ⋮ Inferential models and relevant algorithms in a possibilistic framework ⋮ A random set characterization of possibility measures ⋮ When upper conditional probabilities are conditional possibility measures ⋮ Multivariate capacity functionals vs. capacity functionals on product spaces ⋮ A CONSONANT APPROXIMATION OF THE PRODUCT OF INDEPENDENT CONSONANT RANDOM SETS ⋮ Finitely maxitive \(T\)-conditional possibility theory: coherence and extension

Cites Work

• Fuzzy sets as a basis for a theory of possibility
• THE NECESSITY OF THE STRONG α-CUTS OF A FUZZY SET

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