Fuzzy modeling in terms of surprise
type: Item
instance of: scholarly article
title: Fuzzy modeling in terms of surprise
zbMATH Open document ID: 1031.93012
DOI: 10.1016/S0165-0114(02)00248-8
author: Arnold Neumaier
published in: Fuzzy Sets and Systems
publication date: 2003-05-22T00:00:00Z
review text: The study discusses fuzzy modeling in the context of surprise. The concept of surprise is related to linguistically quantified statements and numerically quantified. The paper sets up an axiomatic framework for the notion of surprise, quantifies surprise vis-à-vis membership grades as well as connects it to operations on fuzzy sets. Considering \(d(x)\) as being a membership grade for some argument \(x\), a surprise value ``\(s\)'' relates to ``\(d\)'' via some strictly monotone decreasing transformation from \([0,\infty]\) onto the unit interval; for instance, \(d=1/(s^a+1)\) with \(a>0\). Some issues of dependence and modifiers are addressed in the context of surprise. Subsequently, fuzzy optimization is revisited in the setting of surprise minimization and specification of fuzzy functions (this being realized by means of fuzzy associative memories).
reviewed by: Witold Pedrycz
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 93C42
zbMATH DE Number: 1915156
zbMATH Keywords: fuzzy modeling
zbMATH Keywords: surprise
zbMATH Keywords: membership grade
zbMATH Keywords: fuzzy optimization
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1915156