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.