Abstract
The extension of interval‐valued and real‐valued functions known as fuzzy interval‐valued function (FIVF) has made substantial contributions to the theory of interval analysis. In this article, we explore the importance of h‐Godunova‐Levin fuzzy convex and preinvex functions and also develop the new generation of the Hermite‐Hadamard and trapezoid‐type fuzzy fractional integral by the implementation of generalized fuzzy fractional operators having modified version of the Bessel‐Maitland (E1vBMF) function as its kernel. Moreover, we extract some well‐known inequalities from our main results.