Possibility measures and possibility integrals defined on a complete lattice

DOI10.1016/S0165-0114(99)00113-XzbMath1017.28010MaRDI QIDQ5939648

Guang-Quan Zhang, Gert De Cooman, Etienne E. Kerre

Publication date: 25 August 2003

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

zbMATH Keywords

possibility theorycomplete latticestriangular normcomplete Boolean algebraspossibility measuresSugeno integralt-norm-based possibilistic integrals

Mathematics Subject Classification ID

Foundations of probability theory (60A99) Fuzzy measure theory (28E10) Chain conditions, complete algebras (06E10)

Related Items

Representation of maxitive measures: An overview ⋮ Semantics of non-deterministic possibility computation ⋮ A decomposition theorem for maxitive measures ⋮ Finitely maxitive \(T\)-conditional possibility theory: coherence and extension

Cites Work

• Possibility and necessity integrals
• On the extension of possibility measures
• Fuzzy contactability and fuzzy variables
• Semi-lattice structure of all extensions of the possibility measure and the consonant belief function on the fuzzy set
• Possibility theory: An integral theoretic approach
• Characterisation of possibility measures of fuzzy events using Markov kernels
• Fuzzy sets as a basis for a theory of possibility
• POSSIBILITY THEORY I: THE MEASURE- AND INTEGRAL-THEORETIC GROUNDWORK
• POSSIBILITY THEORY II: CONDITIONAL POSSIBILITY
• POSSIBILITY THEORY III: POSSIBILISTIC INDEPENDENCE
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