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On fuzzy equality and approximation in fuzzy logic

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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.

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Authors and Affiliations

  1. University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, 30. dubna 22, 701 03, Ostrava, Czech Republic

    V. Novák

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  1. V. Novák
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Correspondence to V. Novák.

Additional information

This paper has been supported by Grant A1187901/99 of the GA AV ČR and the project VS96037 of MŠMT of the Czech Republic.

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Novák, V. On fuzzy equality and approximation in fuzzy logic. Soft Computing 8, 668–675 (2004). https://doi.org/10.1007/s00500-003-0324-9

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  • DOI: https://doi.org/10.1007/s00500-003-0324-9

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