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Coherence and Convexity of Euclidean Radial Implicative Fuzzy Systems

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Issues and Challenges of Intelligent Systems and Computational Intelligence

Part of the book series: Studies in Computational Intelligence ((SCI,volume 530))

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Abstract

The chapter discuss a necessary condition for coherence of radial implicative fuzzy systems. We present the general condition in an implicit form. The condition is based on the value of the minima of a certain function. We show that this function is convex. Further an explicit solution for Euclidean systems is provided.

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References

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Acknowledgments

The presented research was partially supported by COST grant LD13002 provided by Ministry of Education, Youth and Sports of the Czech Republic.

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Authors and Affiliations

  1. Institute of Computer Science AS CR, Pod Vodárenskou věží 2, 182 07, Prague 8, Czech Republic

    David Coufal

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  1. David Coufal
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Correspondence to David Coufal .

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Editors and Affiliations

  1. Department of Automation, Széchenyi István University, Győr, Hungary

    László T. Kóczy

  2. Department of Information Technology, Széchenyi István University, Győr, Hungary

    Claudiu R. Pozna

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Coufal, D. (2014). Coherence and Convexity of Euclidean Radial Implicative Fuzzy Systems. In: Kóczy, L., Pozna, C., Kacprzyk, J. (eds) Issues and Challenges of Intelligent Systems and Computational Intelligence. Studies in Computational Intelligence, vol 530. Springer, Cham. https://doi.org/10.1007/978-3-319-03206-1_2

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  • DOI: https://doi.org/10.1007/978-3-319-03206-1_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03205-4

  • Online ISBN: 978-3-319-03206-1

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