A Method for Automatic Membership Function Estimation Based on Fuzzy Measures

  • Grzegorz Nieradka
  • Bohdan Butkiewicz
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4529)


Estimation of membership function is one of the most important problems in the application of fuzzy sets. This paper presents one of approaches to this problem. A method for estimation of membership function is proposed, based on fuzzy measures: fuzzy entropy and fuzzy index. Examples of generating membership function in the field of image processing are shown.The method presented in this paper can be used in other fields of computer sciences, where statistical data are available.


Particle Swarm Optimization Membership Function Mean Squared Error Total Entropy Fuzzy Measure 
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.


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Copyright information

© Springer Berlin Heidelberg 2007

Authors and Affiliations

  • Grzegorz Nieradka
    • 1
  • Bohdan Butkiewicz
    • 1
  1. 1.Warsaw University of Technology, Institute of Electronic Systems, Nowowiejska 15/19, 00 - 665 WarsawPoland

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