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On Fuzzy Relations and Partitions

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Advances in Fuzzy Sets, Possibility Theory, and Applications

Abstract

Let E be a finite set, of cardinality N. A fuzzy binary relation R on E, is a mapping from E x E to [0,1] R.

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References

  1. G. A. Andrews, “The Theory of Partitions,” Addison-Wesley (1976).

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  2. J. C. Bezdek and J. D. Harris, Fuzzy partitions and relations: An axiomatic basis for clustering, Fuzzy Sets and Systems 1, pp. 111–127 (1978).

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  3. B. Bouchon, G. Cohen, and P. Frankl, Metrical properties of fuzzy partitions, Int. Colloqu. on Information Theory, Budapest (1981).

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  4. H. K. Kim and F. W. Roush, Ultrametrics and matrix theory, J. of Math. Psychology, 18, pp. 195–203 (1978).

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  5. L. A. Zadeh, Similarity relations and fuzzy orderings, Information Sciences, 3, pp. 177–200 (1971).

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Author information

Authors and Affiliations

  1. CNRS, University of Paris VI, Tour 45, 4 Place JUSSIEU, 75230, Paris Cedex 05, France

    B. Bouchon

  2. ENST, 46 rue Barrault, 75634, Paris Cedex 13, France

    G. Cohen

Authors
  1. B. Bouchon
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  2. G. Cohen
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Editor information

Editors and Affiliations

  1. Duke University, Durham, North Carolina, USA

    Paul P. Wang

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© 1983 Plenum Press, New York

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Bouchon, B., Cohen, G. (1983). On Fuzzy Relations and Partitions. In: Wang, P.P. (eds) Advances in Fuzzy Sets, Possibility Theory, and Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3754-6_9

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  • DOI: https://doi.org/10.1007/978-1-4613-3754-6_9

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3756-0

  • Online ISBN: 978-1-4613-3754-6

  • eBook Packages: Springer Book Archive

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