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Fuzzy Relations and Fuzzy Graphs

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Abstract

Fuzzy relations are fuzzy subsets of X × Y, that is, mappings from X→ Y. They have been studied by a number of authors, in particular by Zadeh [1965, 1971], Kaufmann [1975], and Rosenfeld [1975]. Applications of fuzzy relations are widespread and important. We shall consider some of them and point to more possible uses at the end of this chapter. We shall exemplarily consider only binary relations. A generalization to n-ary relations is straight forward.

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© 1991 Springer Science+Business Media New York

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Zimmermann, HJ. (1991). Fuzzy Relations and Fuzzy Graphs. In: Fuzzy Set Theory — and Its Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-7949-0_6

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  • DOI: https://doi.org/10.1007/978-94-015-7949-0_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-015-7951-3

  • Online ISBN: 978-94-015-7949-0

  • eBook Packages: Springer Book Archive

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