On lattices of neutrosophic sets

This thesis examines the neutrosophic lattices obtained from neutrosophic sets and provides new definitions. In the present study, firstly, classical sets and lattices are given. Then the concept of neutrosophic set is evaluated in detail. The lattice structures obtained from the classical sets during the examinations and the filters and ideals of thelattices of the neutrosophic sets are studied on these lattices. The filters and ideals of the lattices of neutrosophic sets are emphasized. Because these types of structures are, according to the lattice definition, a sub-lattice of the neutroscopic lattices, these sub-lattices must have a neutrosophic lattice property. It is observed that this structure is not preserved in the evaluations made. In this sense, new definitions are proposed to hold the structures