Mathematical Foundations of Fuzzy Inference

  • Stephan Lehmke
  • Bernd Reusch
  • Karl-Heinz Temme
  • Helmut Thiele
Part of the Natural Computing Series book series (NCS)

Summary

The research project reported here has been active since 1997. The goals and results of the whole project are outlined here, but only results obtained since 2000 are reported in detail.

The project is concerned with the theoretical foundations of fuzzy logic, in particular functional analytic foundations of inference with fuzzy IF-THEN rule bases. The goals of this project are as follows:
  • Systematic characterization and comparison of fuzzy inference methods, applying methods from functional analysis.

  • Axiomatic characterization of fuzzy inference operators.

  • Investigation of functional analytic semantics of complex fuzzy inference mechanisms.

  • Investigation of extensions and generalizations of fuzzy inference methods.

Keywords

Assure Tate Como Romania Flou 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Stephan Lehmke
    • 1
  • Bernd Reusch
    • 1
  • Karl-Heinz Temme
    • 1
  • Helmut Thiele
    • 1
  1. 1.Department of Computer ScienceUniversity of DortmundDortmundGermany

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