Mathematics of fuzzy sets and fuzzy logic
type: Item
instance of: scholarly article
title: Mathematics of fuzzy sets and fuzzy logic
zbMATH Open document ID: 1271.03001
DOI: 10.1007/978-3-642-35221-8
author: Barnabás Bede
published in: Studies in Fuzziness and Soft Computing
publication date: 2013-01-28T00:00:00Z
review text: This is a well-written elementary introduction into the basic mathematical topics for fuzzy sets and fuzzy numbers, accessible for undergraduate mathematics and also for engineering students. The topics discussed here start from the basic notions on fuzzy sets and fuzzy relations, cover fuzzy rule-based systems for fuzzy control, continue with fuzzy numbers and fuzzy arithmetic, touch upon fuzzy analysis which reaches up to suitable notions of differentiability and fuzzy differential equations, mention some extensions like \(L\)-fuzzy sets and type-2 fuzzy sets, cover some possibility theory and some fuzzy clustering, and finally deal with fuzzy transforms and neuro-fuzzy systems.
reviewed by: Siegfried J. Gottwald
Mathematics Subject Classification ID: 03-01
Mathematics Subject Classification ID: 00A69
Mathematics Subject Classification ID: 03B52
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 34A07
Mathematics Subject Classification ID: 65G99
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 94D05
zbMATH DE Number: 6131085
zbMATH Keywords: fuzzy sets
zbMATH Keywords: fuzzy numbers
zbMATH Keywords: fuzzy control
zbMATH Keywords: fuzzy arithmetic
zbMATH Keywords: fuzzy analysis
zbMATH Keywords: fuzzy differential equations
zbMATH Keywords: fuzzy transforms
zbMATH Keywords: possibility theory
zbMATH Keywords: neuro-fuzzy systems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-642-35221-8
OpenAlex ID: W565587792
description: scientific article; zbMATH DE number 6131085