Geodesic
Multiplication, distributivity and fuzzy-integral. I
Kybernetika, Tome 41 (2005) no. 3, pp. 397-422 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 20M30, 26E50, 28A12, 28A25, 28E10
Keywords: fuzzy measures; distributivity law; restricted domain; pseudo- addition; pseudo-multiplication; Choquet integral; Sugeno integral 
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Sander, Wolfgang; Siedekum, Jens. Multiplication, distributivity and fuzzy-integral. I. Kybernetika, Tome 41 (2005) no. 3, pp. 397-422. http://geodesic.mathdoc.fr/item/KYB_2005_41_3_a9/

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