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Generic View On Continuous T-Norms and T-Conorms

  • Conference paper
Computational Intelligence, Theory and Applications

Part of the book series: Advances in Soft Computing ((AINSC,volume 33))

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Abstract

Triangular norms were introduced in the framework of probabilistic metric spaces. However, they are widely applied in several other fields, e.g., in fuzzy set theory, fuzzy logic, and their applications. Therefore, the problem of compact representation of continuous t-norms using generating functions is of permanent interest.

This paper has been partially supported by grant IAA1187301 of the GA AV ÄŒR.

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References

  1. Klement P, Mesiar R, Pap E (2001) Triangular norms. Kluwer, Dordrecht

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  2. Hájek P (1998) Metamathematics of fuzzy logic. Kluwer, Dordrecht

    MATH  Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Perfilieva, I. (2005). Generic View On Continuous T-Norms and T-Conorms. In: Reusch, B. (eds) Computational Intelligence, Theory and Applications. Advances in Soft Computing, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-31182-3_35

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  • DOI: https://doi.org/10.1007/3-540-31182-3_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22807-3

  • Online ISBN: 978-3-540-31182-9

  • eBook Packages: EngineeringEngineering (R0)

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