| Summary: | We introduce a new class of interval-valued preinvex functions termed as harmonically <i>h</i>-preinvex interval-valued functions. We establish new inclusion of Hermite–Hadamard for harmonically <i>h</i>-preinvex interval-valued function via interval-valued Riemann–Liouville fractional integrals. Further, we prove fractional Hermite–Hadamard-type inclusions for the product of two harmonically <i>h</i>-preinvex interval-valued functions. In this way, these findings include several well-known results and newly obtained results of the existing literature as special cases. Moreover, applications of the main results are demonstrated by presenting some examples.
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