Semi-t-operators on bounded lattices

Abstract We study semi-t-operators on bounded lattices and show the existence of semi-t-operators using the fact that there exist some pseudo-t-norms and pseudo-t-conorms on the arbitrary fixed bounded lattice L. As a by-product some constructive approaches to semi-t-operators are discussed. Using these approaches, we obtain the least semi-t-operators and the greatest semi-t-operators on bounded lattices. A partial order relation is also defined based on the semi-t-operator and some properties of this relation are examined.

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