The Principles of Fuzzy Logic: Its Mathematical and Computational Aspects

  • Vilém Novák
  • Irina Perfilieva
Part of the Advances in Soft Computing book series (AINSC, volume 11)


Our aim in this chapter is to give a brief overview of the main aspects of fuzzy logic. We introduce the concept of fuzzy logic and discuss its philosophical background. We argue that people encounter a phenomenon of indeterminacy which has two complementary facets, namely uncertainty and vagueness. Fuzzy logic is then considered as a mathematical model useful for modelling of the latter. Furthermore, we outline the theory of special structures, which are suitable for representation of the structure of truth values.


Fuzzy Logic Normal Form Classical Logic Residuated Lattice Conjunctive Normal Form 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Vilém Novák
    • 1
  • Irina Perfilieva
    • 1
  1. 1.Institute for Research and Applications of Fuzzy ModelingUniversity of OstravaOstrava 1Czech Republic

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