Abstract: The notions of idealistic soft subsemirings and soft equality on two idealistic soft subsemirings are introduced. Semiring homomorphisms is studied by using idealistic soft semirings, full idealistic softsemirings, trivial idealistic soft semirings and idealistic soft subsemirings over a semiring as well as $\widetilde{\sqcap}$、$\widetilde{∪}$ and $\widetilde{∧}$ operations of idealistic soft semirings. Some important properties of semiring homomorphisms, semiring full homomorphism and semiring simple homomorphism are obtained.

Key words: idealistic soft semirings, idealistic soft subsemiring, soft equality, semiring homomorphisms