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

Book Series	Lecture Notes in Computer Science
Publisher	Springer Berlin / Heidelberg
ISSN	0302-9743 (Print) 1611-3349 (Online)
Volume	Volume 2206/2001
Book	Computational Intelligence. Theory and Applications
DOI	10.1007/3-540-45493-4
Copyright	2001
ISBN	978-3-540-42732-2
DOI	10.1007/3-540-45493-4_82
Pages	829-833
Subject Collection	Computer Science
SpringerLink Date	Monday, January 01, 2001

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

Djavvat Khadjiev⁵ and Funda Karaçal⁶

(5)	Mech. Math. Fac., National University of Uzbekistan, 700095 Tashkent, Uzbekistan

(6)	Department of Mathematics Faculty of Sciences and Arts, Karadeniz Tech. Univ., 61080, Uzbekistan

Abstract

Our main results:

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