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A Color Problem for Fuzzy Graph

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Computational Intelligence. Theory and Applications (Fuzzy Days 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2206))

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Abstract

In this paper the questions of coloring of fuzzy graphs are observed. Definitions of separation degree and fuzzy chromatic set of fuzzy graphs are presented. Properties of fuzzy chromatic set are considered. The method for finding fuzzy chromatic set is suggested and substantiated. The example of founding fuzzy chromatic set is considered.

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References

  1. Zadeh, L.: Fuzzy Sets and Their Application to Cognitive and Decision. Academic Press, New York (1975)

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  2. Kaufmann, A.: Introduction a la Theorie des Sous-Ensemles Flous. Masson, Paris (1977)

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  3. Bershtein, L., Bozhenuk, A.: Determination of Fuzzy Internal Stable, External Stable Sets, and Kernels of Fuzzy Oriented Graphs. Journal of Computer and Systems Sciences International. 38(1) (1999) 153–157

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Author information

Authors and Affiliations

  1. Taganrog State University of Radioengineering, Nekrasovsky, 44, 347900, Taganrog, Russia

    Leonid Bershtein

  2. Taganrog State University of Radioengineering, Nekrasovsky, 44, 347900, Taganrog, Russia

    Alexander Bozhenuk

Authors
  1. Leonid Bershtein
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  2. Alexander Bozhenuk
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Editor information

Editors and Affiliations

  1. Computer Science I, University of Dortmund, 44221, Dortmund, Germany

    Bernd Reusch

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© 2001 Springer-Verlag Berlin Heidelberg

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Bershtein, L., Bozhenuk, A. (2001). A Color Problem for Fuzzy Graph. In: Reusch, B. (eds) Computational Intelligence. Theory and Applications. Fuzzy Days 2001. Lecture Notes in Computer Science, vol 2206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45493-4_51

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  • DOI: https://doi.org/10.1007/3-540-45493-4_51

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42732-2

  • Online ISBN: 978-3-540-45493-9

  • eBook Packages: Springer Book Archive

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