0000000000709806

AUTHOR

Erich Peter Klement

showing 2 related works from this author

Fundamentals of a Generalized Measure Theory

1999

In this chapter, we try to present a coherent survey on some recent attempts in building a theory of generalized measures. Our main goal is to emphasize a minimal set of axioms both for the measures and their domains, and still to be able to prove significant results. Therefore we start with fairly general structures and enrich them with additional properties only if necessary.

Set (abstract data type)Theoretical computer scienceMarkov kernelComputer scienceIf and only ifFuzzy subsetAxiom
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An integral representation for decomposable measures of measurable functions

1994

We start with a measurem on a measurable space (Ω,A), decomposable with respect to an Archimedeant-conorm ⊥ on a real interval [0,M], which generalizes an additive measure. Using the integral introduced by the second author, a Radon-Nikodym type theorem, needed in what follows, is given.

Discrete mathematicsIntegral representationMarkov kernelMeasurable functionApplied MathematicsGeneral MathematicsDiscrete Mathematics and CombinatoricsInterval (graph theory)Type (model theory)Space (mathematics)Measure (mathematics)MathematicsAequationes Mathematicae
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