First course on fuzzy theory and applications.
type: Item
instance of: scholarly article
title: First course on fuzzy theory and applications.
zbMATH Open document ID: 1063.94129
author: Kwang H. Lee
published in: Advances in Soft Computing
publication date: 2004-12-07T00:00:00Z
review text: This book aims to be an introductory textbook for fuzzy sets and their main applications. It covers the topics from basic notions for fuzzy sets and fuzzy relations up to fuzzy control and fuzzy systems up to fuzzified neural networks and fuzzified genetic algorithms, which is a good choice of topics. Even granted that this is not a mathematical book, but an introductory text for engineers, I mean it is the worst book I ever had in my hands. It is not only the very bad quality of its English which is unacceptable for a Springer book, and not only for a Springer book. It is a certain sort of carelessness which bothers me most. So e.g. members of a partition need not be nonempty by definition, this nonemptiness however is claimed as a fact later on; the definition of convexity for a set \(A\) in \(\mathbb{R}^n\) starts with the assumption ``two arbitrary points \(s\) and \(r\) are defined in \(A\)'' which is not the antecedence of a conditional; there is a contradiction between the definition and a characterization of the strong inclusion for fuzzy sets (it seems the author mixes up the universal and the existential quantifier); for (crisp) relations \(f\) the notation \(f(x)\) is introduced without demanding uniqueness; relations may contain properties (the latter a notion used only intuitively); in the case of ordering relations the asymmetry condition is called ``antisymmetry''; etc. All these examples are taken from the first 70 pages. So I cannot recommend this book to anybody.
reviewed by: Siegfried J. Gottwald
Mathematics Subject Classification ID: 94D05
Mathematics Subject Classification ID: 94-01
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 68T37
zbMATH DE Number: 2121477
zbMATH Keywords: fuzzy sets
zbMATH Keywords: fuzzy relations
zbMATH Keywords: fuzzy methods
zbMATH Keywords: fuzzy control
zbMATH Keywords: neural networks
zbMATH Keywords: genetic algorithm
describes a project that uses: Genocop
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2121477