Interpolation that leads to the narrowest intervals and its application to expert systems and intelligent control
type: Item
instance of: scholarly article
title: Interpolation that leads to the narrowest intervals and its application to expert systems and intelligent control
zbMATH Open document ID: 0837.65006
DOI: 10.1007/BF02385260
author: Bob Lea
author: Dana Tolbert
author: Hung T. Nguyen
author: Vladik Kreinovich
published in: Reliable Computing
publication date: 1996-05-21T00:00:00Z
review text: Interpolation problems \(y_i= f(x_i)\), \(x_i\in \mathbb{R}^n\) for \(i= 1,\dots, N\) are considered, where only bounds of the values \(x_i\) and \(y_i\) are known. Since the solution functions \(f\) are, in general, not defined uniquely. It is suggested to choose such functions, which have an uncertainty width as small as possible. A few simple examples for the cases \(n= 1, 2\) are discussed. Some applications to expert systems in situations where the knowledge of the experts cannot be expressed by precise values, are given.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 827502
zbMATH Keywords: intelligent control
zbMATH Keywords: interpolation
zbMATH Keywords: interval arithmetic
zbMATH Keywords: uncertainty width
zbMATH Keywords: expert systems
reviewed by: H. Ratschek
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02385260
OpenAlex ID: W2330657980
description: scientific article; zbMATH DE number 827502