Int-soft substructures of groups and semirings with applications

Abstract

In this paper, we introduce a new type of subgroup and normal subgroup of a group, called intersection-soft subgroup (int-soft subgroup) and intersection-normal subgroup (int-soft normal subgroup), by using Molodtsov's definition of the soft sets. We investigate their related properties with respect to soft set operations and group homomorphisms. Moreover, we introduce intersectionsoft subsemiring (int-soft subsemiring) and intersection-soft ideal (int-soft ideal) of a semiring and some related properties are investigated and illustrated by many examples. Finally, we give some applications of these new concepts to group theory and semiring theory. © 2017 NSP.