Right continuous fuzzy set-valued stochastic processes with left limitation

The concept of (d) quasi-left continuous fuzzy set-valued stochastic proces s is proposed. A (d) cadlag. fuzzy set-valued stochastic process, i.e. (d) right continuous fuzzy set-valued stochastic processes with left limitation , is (d) quasi-left continuous if and only if for each positive predictable time this process is (d) left continuous almost surely on the set on which the predictable time is finite. A (d) cadlag. fuzzy set-valued stochastic process only has accessible jump if and only if for each totally inaccessib le time this process is (d) left continuous almost surely on the set on whi ch the totally inaccessible time is finite. (C) 2000 Elsevier Science B.V. All rights reserved.