Abstract
In this paper, we study commutative Krasner hyperrings with nonzero identity. ϕ -prime, ϕ -primary and ϕ - δ -primary hyperideals are introduced. The concept of δ -primary hyperideals is extended to ϕ - δ -primary hyperideals. Some characterizations of hyperideals are provided to classify them. The relation between ϕ - δ -primary hyperideals and other hyperideals is discussed.