Mathematical fuzzy logic as a tool for the treatment of vague information

  • Authors:
  • Siegfried Gottwald

  • Affiliations:
  • Institute of Logic and Philosophy of Science, Leipzig University, Beethovenstr. 15, 04107 Leipzig, Germany

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2005

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Abstract

The paper considers some of the main trends of the recent development of mathematical fuzzy logic as an important tool in the toolbox of approximate reasoning techniques. Particularly the focus is on fuzzy logics as systems of formal logic constituted by a formalized language, by a semantics, and by a calculus for the derivation of formulas. Besides this logical approach also a more algebraic approach is discussed. And the paper ends with some hints toward applications which are based upon these theoretical considerations.