Integration of real functions with respect to a $oplus$-measure

Anna Kolesárová

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Displaying similar documents to “Integration of real functions with respect to a $o p l u s$ -measure”

Representation of operators by kernels.

Peter Stollmann (1991)

Collectanea Mathematica

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We prove that differences of order-continuous operators acting between function spaces can be represented with a pseudo-kernel, proved the underlying measure spaces satisfy certain (rather weak) conditions. To see that part of these conditions are necessary, we show that the strict localizability of a measure space can be characterized by the existence of a pseudo-kernel for a certain operator.

Extension on the fuzzy integral based on $\oplus$ -decomposable measure.

Traore, Mamadou (2001)

International Journal of Mathematics and Mathematical Sciences

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Multiplication, distributivity and fuzzy-integral. I

Wolfgang Sander, Jens Siedekum (2005)

Kybernetika

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The main purpose is the introduction of an integral which covers most of the recent integrals which use fuzzy measures instead of measures. Before we give our framework for a fuzzy integral we motivate and present in a first part structure- and representation theorems for generalized additions and generalized multiplications which are connected by a strong and a weak distributivity law, respectively.