Minimax adjustment technique and fuzzy information

In this paper the minimax adjustment technique is generalized to fuzzy information sets. Using a quadratic loss function and specific ellipsoidal constraints the case of fuzzy information can be reduced to the case of crisp information. Here, the minimax adjustment technique is equivalent to a projection method; furthermore, a characterization of the solution is given being not far away from an explicit representation, Applications to statistics and to economics are presented. (C) 1999 Published by Elsevier Science Inc. All rights reserved.