Journal
FUZZY SETS AND SYSTEMS
Volume 151, Issue 2, Pages 341-352Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2004.06.013
Keywords
triangular norm; V-Distributive t-norm
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A relation between the direct decomposability of an infinitely v-distributive t-norm on a complete lattice L and direct decompositions of the neutral element 1 of L is obtained. Some useful applications of this relation are given. In particularly, the description of all T-1-lattices without infinitely V-distributive t-norms on complete lattices and the description of all V-distributive t-norms on lattices of length 2 are given. The paper also contains the solutions of two open problems. (C) 2004 Elsevier B.V. All rights reserved.
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