Functions for determining the value of information in constructive theory of optimal aggregated models
type: Item
instance of: scholarly article
title: Functions for determining the value of information in constructive theory of optimal aggregated models
zbMATH Open document ID: 0879.90068
DOI: 10.1007/BF02366496
author: O. Diekmann
published in: Cybernetics and Systems Analysis
publication date: 1997-10-06T00:00:00Z
review text: A topical problem in mathematical modeling theory is the development of methods that produce adequate and realizable working models as a source of new knowledge and new theories in the areas of optimal prediction and ``control'' under real-life conditions of incomplete knowledge and incomplete data. The notion of ``working model'' includes ordinary mathematical models, computer models (computer ``simulators'' used to investigate causal relationships), expert systems, as well as complex information systems that integrate various mathematical models (with different levels of aggregation and different resolving power) with special-purpose expert systems and simulators in order to improve the quality of prediction of possible consequences of alternative management strategies and to ensure efficient management decisions. Construction of optimal working models can be based on the new measures of adequacy and realizability. In these studies we have also defined the optimality criterion for models and developed methods for construction of optimal models through identification and optimal use of the most valuable information. Useful information for a working model is generally supplied from a number of diverse sources. These sources include theoretical results of basic research, previously developed mathematical models of various aggregation levels, empirical generalizations of observed regularities, and data files containing the results of natural and computer experiments and observations. Other sources of useful information include knowledge bases of expert systems that reflect the accumulated experience of practitioners and analyticians. Searching for useful information in these diverse sources requires a ``function for evaluating the usefulness of information'' (a solving operator which is a generalized solution of the functional equation for the value of information. This operator combines the concepts of pseudoinverse operator and Green's function for nonlinear and non…
Mathematics Subject Classification ID: 91B99
Mathematics Subject Classification ID: 93A30
zbMATH DE Number: 1051090
zbMATH Keywords: mathematical modeling
zbMATH Keywords: solving operators
zbMATH Keywords: expert systems
MaRDI profile type: Publication
cites work: Q3702060
description: scientific article; zbMATH DE number 1051090