Possibility theory: An integral theoretic approach

DOI10.1016/0165-0114(92)90143-RzbMath0772.28008MaRDI QIDQ1187471

F. R. Vanmassenhove, Etienne E. Kerre, Gert De Cooman

Publication date: 13 August 1992

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

zbMATH Keywords

approximate reasoningtriangular normsfuzzy integralsconditional possibility measuresconditional probability measurespossibility integrals

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (7)

Markov chains with a transition possibility measure and fuzzy dynamic programming ⋮ Uncertain dynamical systems defined by pseudomeasures ⋮ Triangular intuitionistic fuzzy random decision making based on combination of parametric estimation, score functions, and prospect theory ⋮ Possibility and necessity integrals ⋮ Possibility measures and possibility integrals defined on a complete lattice ⋮ The construction of possibility measures from samples on \(\mathfrak T\)-semi-partitions ⋮ POSSIBILITY THEORY I: THE MEASURE- AND INTEGRAL-THEORETIC GROUNDWORK

Cites Work

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• A possibility measure is not a fuzzy measure
• Two families of fuzzy integrals
• An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measure
• The fuzzy integral
• Toward a general theory of fuzzy variables
• Fuzzy contactability and fuzzy variables
• Fuzzy sets as a basis for a theory of possibility
• Fuzzy variables
• Conditional possibilities independence and noninteraction
• L-fuzzy sets
• Similarity relations and fuzzy orderings

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