Constructions Of Semi-t-operators On Bounded Lattices

This thesis investigates the constructions of semi-t-operators on bounded lattices.First,this paper defines several groups of order-preserving idempotent mappings and non-order-preserving non-idempotent mappings.Then,proposing some methods for constructing semi-t-operators by order-preserving idempotent mappings and non-order-preserving nonidempotent mappings,respectively.At the same time,we also give some construction methods of semi-t-operators by utilizing both order-preserving idempotent mappings and non-orderpreserving non-idempotent mappings.Our semi-t-operators generalize some known ones in current literatures.Finally,based on some results on semi-t-operators as above,we propose some new methods for constructing semi-t-operators by simultaneously using closure operators and interior operators.