Cheng, HaiyangZhao, DafangSarikaya, Mehmet zeki2024-08-232024-08-2320240218-348X1793-6543https://doi.org/10.1142/S0218348X24500427https://hdl.handle.net/20.500.12684/14111Fractional q-calculus is considered to be the fractional analogs of q-calculus. In this paper, the fuzzy interval-valued Riemann-Liouville fractional (RLF) q-integral operator is introduced. Also new fuzzy variants of Hermite-Hadamard (HH) type and HH-Fejer inequalities, involving (h) over bar -convex fuzzy interval-valued functions (FIVFs), are presented by making use of the RLF q-integral. The results not only generalize existing findings in the literature but also lay a solid foundation for research on inequalities concerning FIVFs. Moreover, to verify our theoretical findings, numerical examples and imperative graphical illustrations are provided.en10.1142/S0218348X24500427info:eu-repo/semantics/closedAccessHermite-Hadamard Inequalities(h)over-bar-ConvexityFractional IntegralQuantum IntegralFuzzy Interval-Valued FunctionsArticle3222-s2.0-85187125104WOS:001180360100001Q1N/A