Abstract
Our main results:
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1.
The description of all ∨-distributive triangular norms of lengths 2 and 3
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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.
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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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