Let f: R-n --> R-n and (f) over cap: F(R-n) --> F(R)(n) be Zadeh's extension of f to the space of fuzzy compact sets F(R-n). The aim of this paper is to show that if f is continuous, then (f) over cap : (F(R-n), D) --> (F(R-n), D) is also continuous, D being the supremum over Hausdorff distances between their corresponding level sets. (C) 2001 Elsevier Science B.V. All rights reserved.1173327331