A T-partial order obtained from T-norms
Citation
Karaçal, F. & Kesicioğlu, M.N. (2011). A T-partial order obtained from T-norms. Kybernetika, 47(2), 300-314.Abstract
A partial order on a bounded lattice L is called t-order if it is defined by means of the t-norm on L. It is obtained that for a t-norm on a bounded lattice L the relation a ?T b iff a = T(x,b) for some x ? L is a partial order. The goal of the paper is to determine some conditions such that the new partial order induces a bounded lattice on the subset of all idempotent elements of L and a complete lattice on the subset A of all elements of L which are the supremum of a subset of atoms.
