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This article introduces the concept of weak sharp minima (WSM) for convexinterval-valued functions (IVFs). To identify a set of WSM of a convex IVF, weprovide its primal and dual characterizations. The primal characterization isgiven in terms of $gH$-directional derivatives. On the other hand, to derivedual characterizations, we propose the notions of the support function of asubset of $I(\mathbb{R})^{n}$ and $gH$-subdifferentiability for convex IVFs.Further, we develop the required $gH$-subdifferential calculus for convex IVFs.Thereafter, by using the proposed $gH$-subdifferential calculus, we providedual characterizations for the set of WSM of convex IVFs.

Weak sharp minima for interval-valued functions and its primal-dual characterizations using generalized Hukuhara subdifferentiability