Abstract
In this note, we introduce the concept of & hbar;-Godunova-Levin interval-valued preinvex functions. As a result of these novel notions, we have developed several variants of Hermite-Hadamard and Fej & eacute;r-type inequalities under inclusion order relations. Furthermore, we demonstrate through suitable substitutions that this type of convexity unifies a variety of other convex classes. To further support our main findings, we formulated several remarks and nontrivial examples.