BACK to VOLUME 41 NO.3
BACK to VOLUME 41 NO.3
Abstract:
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.
Keywords: fuzzy measures; distributivity law; restricted domain; pseudo-addition; pseudo-multiplication; Choquet integral; Sugeno integral;
AMS: 28A25; 20M30;
BACK to VOLUME 41 NO.3