Existence and comparison theorems to Volterra fuzzy integral equation in (E-n,D)

Kaleva (1987) studied the measurability and integrability for the fuzzy set -valued mappings of a real variable whose values are in the fuzzy number sp ace (E-n,D). In this paper, by using the embedding theorem of Kaleva (1990) on (E-n,D), the Darbo fixed-points theorem in the convex cone C[I,E-n] (wh ere I denotes a bounded closed interval) is given. Further, the criteria fo r the existence and comparison of solutions to the Volterra fuzzy integral equation in (E-n,D) are established under the compactness-type conditions. (C) 1999 Elsevier Science B.V. All rights reserved.