Closure operators constructed by logical operations on bounded lattices

In this paper, closure operators obtained from functions having some properties on bounded lattices are defined. By this way, it is aimed to generalize the notions T and U-closure operations obtained from t-norms and uninorms, respectively. The relationships between the closure operators obtained from functions and their conjugacies (dual functions) are determined. In special cases, the closure operations obtained from implications making closure operators from R-, (S,N)-, QL- implications are determined. Also, the closures of the sets according to the closure operations obtained from implications are studied. The orders obtained from closure operators are introduced and the properties are discussed.