The Problem of Distortions in Reconstruction Analysis

François E. Cellier
Institute of Computational Science
ETH Zürich
CH-8092 Zürich
Switzerland
Email: FCellier@Inf.ETHZ.CH
Alvaro de Albornoz Bueno
Profesor de Sistemas Comptacionales
Departamento de Computación
Tecnológico de Monterrey, Campus Ciudad de México
Calle del Puente #222, Col. Ejidos de Huipulco, Tlalpan
14360 Mexico D.F.
Mexico
Phone: +52(555)483-2020 ext. 1462
Email: albornoz@itesm.mx

Abstract

Reconstruction Analysis (RA), as referred to in this article, denotes an implementation of a subset of algorithms from general Reconstructability Analysis. SAPS-II, a Matlab toolbox, implements a subset of algorithms from General Systems Problem Solving (GSPS), including the Fuzzy Inductive Reasoning (FIR) tools, as well as the Reconstruction Analysis (RA) tools. This article discusses the problem of distortions in Crisp Reconstruction Analysis (CRA), a problem that is inherent in the methodology, and that has, to our knowledge, never been reported. An algorithm is presented that corrects these distortions. Also, the article points out that Fuzzy Reconstruction Analysis (FRA) is distortion-free.

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