Soft Lattice Implication Subalgebras

Abstract

In this paper, we introduce the concepts of soft lattice implication subalgebras, endow a parameter set as a lattice implication algebra, and further discuss its equivalent characterization. Then, new operations of soft lattice implication subalgebras are introduced, under which two soft lattice implication subalgebras is also a soft lattice implication subalgebra. Finally, the concepts of image and preimage of a soft lattice implication subalgebra and their properties are presented