Down and up operators associated to fuzzy relations and t-norms: A definition of fuzzy semi-ideals
The author considers various generalized definitions of classical notions in set theory and lattices by means of a t-norm, a complete lattice \(L\) and an \(L\)-fuzzy relation \(R\) on a set \(X\). \(LF\)-semi-ideals and \(LF\)-semi-filters are considered and several characterizations are found. Particular cases and examples are shown.
scientific article; zbMATH DE number 1563542
scientific article