6533b837fe1ef96bd12a300f

RESEARCH PRODUCT

Uncertainty Measures, Realizations and Entropies*

Siegfried WeberUlrich Höhle

subject

Discrete mathematicsDecision theoryFeature integration theoryBase (topology)Representation (mathematics)Mathematical economicsAxiomMathematics

description

This paper presents the axiomatic foundations of uncertainty theories arising in quantum theory and artificial intelligence. Plausibility measures and additive uncertainty measures are investigated. The representation of uncertainty measures by random sets in spaces of events forms a common base for the treatment of an appropriate integration theory as well as for a reasonable decision theory.

yearjournalcountryeditionlanguage
1997-01-01
https://doi.org/10.1007/978-1-4612-1942-2_12