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

Authors:
Djavvat Khadjiev;Funda Karaçal
Affiliations:
-;-
Venue:
Proceedings of the International Conference, 7th Fuzzy Days on Computational Intelligence, Theory and Applications
Year:
2001

Citing 4
Cited 1

The generalized t-norms and the TLPF-groups

Fuzzy Sets and Systems
Modified TL-subgroups of a group

Fuzzy Sets and Systems
Generalized t-norm structures

Fuzzy Sets and Systems - Special issue on triangular norms
Triangular norms on product lattices

Fuzzy Sets and Systems - Special issue on triangular norms

Pairwise comaximal elements and the classification of all ν-distributive triangular norms of length 3

Information Sciences: an International Journal

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Abstract

Our main results: 1. The description of all 驴-distributive triangular norms of lengths 2 and 32. Theorem 3.7 which establishes a connection between direct decompositions of infinite 驴- distributive triangular norms on a lattice L and direct decompositions of the biggest element of L.3. Theorem 4.3 which establishes a connection between direct decompositions of infinite 驴-distributive triangular norms on a lattice L and comaximal families in L.