Minimax adjustment technique and fuzzy information

Citation
Bf. Arnold et P. Stahlecker, Minimax adjustment technique and fuzzy information, LIN ALG APP, 289(1-3), 1999, pp. 25-39
Citations number
13
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
289
Issue
1-3
Year of publication
1999
Pages
25 - 39
Database
ISI
SICI code
0024-3795(19990301)289:1-3<25:MATAFI>2.0.ZU;2-D
Abstract
In this paper the minimax adjustment technique is generalized to fuzzy info rmation sets. Using a quadratic loss function and specific ellipsoidal cons traints the case of fuzzy information can be reduced to the case of crisp i nformation. Here, the minimax adjustment technique is equivalent to a proje ction method; furthermore, a characterization of the solution is given bein g 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.