Kybernetika 41 no. 3, 397-422, 2005

Multiplication, distributivity and fuzzy-integral. I

Wolfgang Sander and Jens Siedekum

Abstract:

%Abstract of Paper. 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.