Abstract
The framework of fuzzy-interval-valued functions (FIVFs) is a generalization of interval-valued functions (IVF) and single-valued functions. To discuss convexity with these kinds of functions, in this article, we introduce and investigate the harmonically h-convexity for FIVFs through fuzzy-order relation (FOR). Using this class of harmonically h-convex FIVFs (H - h-convex FIVFs), we prove some Hermite-Hadamard (H center dot H) and Hermite-Hadamard-Fejer (H center dot H Fejer) type inequalities via fuzzy interval Riemann-Liouville fractional integral (FI Riemann-Liouville fractional integral). The concepts and techniques of this paper are refinements and generalizations of many results which are proved in the literature.