ON THE POLYTOPES OF BELIEF AND PLAUSIBILITY FUNCTIONS

DOI10.1142/S0218488510006751zbMath1211.28017OpenAlexW2113984600MaRDI QIDQ3070071

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Publication date: 2 February 2011

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

Full work available at URL: https://doi.org/10.1142/s0218488510006751

zbMATH Keywords

invariant measuresisometriesadjacencybelief functionsorder polytopeplausibility functions

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Reasoning under uncertainty in the context of artificial intelligence (68T37) Fuzzy measure theory (28E10)

Related Items (1)

Applying Young diagrams to 2-symmetric fuzzy measures with an application to general fuzzy measures

Cites Work

• Unnamed Item
• On the polytope of non-additive measures
• Characterizing isometries on the order polytope with an application to the theory of fuzzy measures
• Two poset polytopes
• Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion
• Distributive lattices and products of capacities
• The transferable belief model
• Adjacency on the order polytope with applications to the theory of fuzzy measures
• Identification of fuzzy measures from sample data with genetic algorithms
• p-SYMMETRIC FUZZY MEASURES
• Upper and Lower Probabilities Induced by a Multivalued Mapping

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