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Soft Computing

, Volume 8, Issue 10, pp 668–675 | Cite as

On fuzzy equality and approximation in fuzzy logic

  • V. NovákEmail author
Article

Abstract

The paper is a contribution to the theory of fuzzy logic in narrow sense with evaluated syntax (FLn). We show that the concepts of fuzzy equality and the provability degree enable to generalize the concept of fuzzy approximation. In the second part of the paper we return to the Mamdani-Assilian formula, which is formed on the basis of the so called totally bounded fuzzy equality and using which we can approximate any function with the prescribed accuracy.

Keywords

Fuzzy logic Fuzzy equality Evaluated syntax Fuzzy approximation 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.University of Ostrava, Institute for Research and Applications of Fuzzy ModelingOstravaCzech Republic

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