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The Description of All ∨-Distributive Triangular Norms of Lengths 2 and 3

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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

Our main results:

  1. 1.

    The description of all ∨-distributive triangular norms of lengths 2 and 3

  2. 2.

    Theorem 3.7 which establishes a connection between direct decompositions of infinite ∨- distributive triangular norms on a lattice L and direct decompositions of the biggest element of L.

  3. 3.

    Theorem 4.3 which establishes a connection between direct decompositions of infinite ∨-distributive triangular norms on a lattice L and comaximal families in L.

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© 2001 Springer-Verlag Berlin Heidelberg

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Khadjiev, D., Karaçal, F. (2001). The Description of All ∨-Distributive Triangular Norms of Lengths 2 and 3. 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_82

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  • DOI: https://doi.org/10.1007/3-540-45493-4_82

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42732-2

  • Online ISBN: 978-3-540-45493-9

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