The fuzzy integral on produce spaces for NSA measures

This paper deals with the study of fuzzy integrals defined as a generalizat ion of Kruse's fuzzy integral [4], for fuzzy NSA measures given by Weber [1 7] as opposed to Sugeno's measures. Several properties and convergence theo rems, such as the monotone convergence theorem, the dominated convergence t heorem and Fatou's lemma are shown for this fuzzy integral. A fuzzy NSA measure will be constructed on a product space, based on produc t of these kinds of measures with the same additive generator and we extend the above integral on to a product space. Further, a version of Fubini's theorem will be proved. (C) 1999 Elsevier Sc ience B.V. All rights reserved.