Abstract

The aim of this paper is to compare D, h and L-convergences with the variational convergence. Our analysis, which is carried out in ?n, is made through the introduction of the space Ec n of compact fuzzy sets u on ?n, for which the level function ? ? [0, 1] ? Lxu ? ?K(?n) is continuous. We prove that in this space all the above notions of convergence are equivalent. © 1996 Elsevier Science B.V. All rights reserved.