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Intuitionistic Fuzzy Relations (IFRs)

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On Intuitionistic Fuzzy Sets Theory

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 283))

Abstract

First, we define six versions of another operation over IFSs – namely, Cartesian products of two IFSs. To introduce the concept of intuitionistic fuzzy relation, we use these operations.

Let E 1 and E 2 be two universes and let

$$ \begin{array} {cll} A &= & \lbrace \langle x, \mu_{A}(x), \nu_{A}(x)\rangle | x\in E_{1} \rbrace,\\ B &= & \lbrace \langle y, \mu_{B}(y), \nu_{B}(y)\rangle | y\in E_{2} \rbrace,\\ \end{array} $$

be two IFSs over E 1 and over E 2, respectively.

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Correspondence to Krassimir T. Atanassov .

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© 2012 Springer-Verlag Berlin Heidelberg

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Atanassov, K.T. (2012). Intuitionistic Fuzzy Relations (IFRs). In: On Intuitionistic Fuzzy Sets Theory. Studies in Fuzziness and Soft Computing, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29127-2_8

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  • DOI: https://doi.org/10.1007/978-3-642-29127-2_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-29126-5

  • Online ISBN: 978-3-642-29127-2

  • eBook Packages: EngineeringEngineering (R0)

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