6533b85efe1ef96bd12c0595
RESEARCH PRODUCT
Decomposable Measures and Measures of Information for Crisp and Fuzzy Sets
S. Webersubject
Discrete mathematicsFuzzy measure theoryFuzzy setType (model theory)Bijection injection and surjectionMathematicsdescription
Abstract There exist bijections between the decomposable informations of Kampe de Feriet and Forte (1967a) and the decomposable measures of Weber (1982). Using integrals for Archimedean decomposable operations, introduced by Weber (1982), informations and measures of this type are extended from crisp to fuzzy sets. For ∨-decomposable measures, Sugeno’s (1974) integral is used. For ∧-decomposable informations, Nguyen’s (1977) construction and a modification are discussed.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1983-07-01 | IFAC Proceedings Volumes |