Abstract
The main objective of this paper is to introduce a new class of convexity called left-right-bi-convex fuzzy interval-valued functions. We study this class from the perspective of fractional Hermite-Hadamard inequalities, involving a new fractional integral called the left-right-AB fractional integral. We discuss several special cases that demonstrate that our results are quite unifying. We provide non-trivial numerical examples regarding special means for positive real numbers in order to check the validity of our outcomes.