Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Published in:
Cover of the book

2017 | OriginalPaper | Chapter

1. Fuzzy Sets Theory and Uncertainty in Mathematical Modeling

Authors : Laécio Carvalho de Barros, Rodney Carlos Bassanezi, Weldon Alexander Lodwick

Published in: A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics

Publisher: Springer Berlin Heidelberg

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This chapter presents a brief discussion about uncertainty based on philosophical principles, mainly from the point of view of the pre-Socratic philosophers. Next, the notions of fuzzy sets and operations on fuzzy sets are presented. Lastly, the concepts of alpha-level and the statement of the well-known Negoita-Ralescu Representation Theorem, the representation of a fuzzy set by its alpha-levels, are discussed.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
next chapter The Extension Principle of Zadeh and Fuzzy Numbers
Literature
1.
2.
B.J. Caraça, Conceitos fundamentais da matemática, 4th edn. (Gradiva Publicações Ltda, Lisboa, 2002)
3.
C.V. Negoita, D.A. Ralescu, Applications of Fuzzy Sets to Systems Analysis (Wiley, New York, 1975)CrossRefMATH
Metadata
Title
Fuzzy Sets Theory and Uncertainty in Mathematical Modeling
Authors
Laécio Carvalho de Barros
Rodney Carlos Bassanezi
Weldon Alexander Lodwick
Copyright Year
2017
Publisher
Springer Berlin Heidelberg
Book
A First Course in Fuzzy Logic, Fuzzy Dynamical Systems, and Biomathematics

Print ISBN: 978-3-662-53322-2

Electronic ISBN: 978-3-662-53324-6

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-662-53324-6_1

Premium Partner

    Image Credits