Soft Lattice Implication Algebras

Abstract

Applying soft sets to lattice implication algebras, the concepts of soft lattice implication algebra and soft lattice implication sub algebra are introduced. The intersection, union and "AND" operations of soft lattice implication algebra and soft lattice implication sub algebra are established. The relations between soft lattice implication algebra (recp. soft lattice implication sub algebra) and their homomorphic images are provided.