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Similarity Relations

  • Rudolf Kruse
  • Christian Borgelt
  • Frank Klawonn
  • Christian Moewes
  • Matthias Steinbrecher
  • Pascal Held
Part of the Texts in Computer Science book series (TCS)

Abstract

In this chapter we discuss a special type of fuzzy relations, called similarity relations. They play an important role in interpreting fuzzy controllers and, more generally, can be used to characterize the inherent indistinguishability or vagueness of a fuzzy systems.

Keywords

Fuzzy Logic Fuzzy System Similarity Relation Fuzzy Control Fuzzy Controller 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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  2. D. Dubois and H. Prade. Possibility theory. Scholarpedia 2(10):2074, 2007 CrossRefGoogle Scholar
  3. F. Klawonn. Fuzzy Sets and Vague Environment. Fuzzy Sets and Systems 66:207–221. Elsevier, Amsterdam, Netherlands, 1994 MathSciNetzbMATHCrossRefGoogle Scholar
  4. F. Klawonn and J.L. Castro. Similarity in Fuzzy Reasoning. Mathware and Soft Computing 2:197–228. University of Granada, Granada, Spain, 1995 MathSciNetzbMATHGoogle Scholar
  5. R. Kruse, J. Gebhardt, and F. Klawonn. Foundations of Fuzzy Systems. J. Wiley & Sons, Chichester, United Kingdom, 1994 Google Scholar

Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  • Rudolf Kruse
    • 1
  • Christian Borgelt
    • 2
  • Frank Klawonn
    • 3
  • Christian Moewes
    • 1
  • Matthias Steinbrecher
    • 4
  • Pascal Held
    • 1
  1. 1.Faculty of Computer ScienceOtto-von-Guericke University MagdeburgMagdeburgGermany
  2. 2.Intelligent Data Analysis & Graphical Models Research UnitEuropean Centre for Soft ComputingMieresSpain
  3. 3.FB InformatikOstfalia University of Applied SciencesWolfenbüttelGermany
  4. 4.SAP Innovation CenterPotsdamGermany

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