Displaying similar documents to “ T -algebras of the monad L -Fuzz”

Lattices of fuzzy objects.

Sangalli, Arturo A.L. (1996)

International Journal of Mathematics and Mathematical Sciences

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A T-partial order obtained from T-norms

Funda Karaçal, M. Nesibe Kesicioğlu (2011)

Kybernetika

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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.