EXPLORING FRACTIONAL HERMITE–HADAMARD INCLUSIONS IN UP–DOWN FUZZY MECHANISM ASSOCIATED WITH MULTIPLE HARMONIC CONVEXITIES
JIE LI, Muhammad Bilal Riaz, El‐Sayed M. Sherif, Ahsan Fareed Shah, Adil Jhangeer · Fractals · 2025
Our study explores a new concept: merging fuzzy-valued convex mappings that collaborate with the up–down fuzzy inclusion mechanism. This latest version of convexity links to various other convexities as well, which have been previously presented in the literature. So, applying this idea benefits us with several modifications of Fuzzy Fractional Hermite–Hadamard ([Formula: see text]) and Fejér inclusions. To examine the importance and accuracy of our results, we provide graphical insights by considering simple, understandable examples. These findings, which contribute to a greater understanding of fuzzy fractional integrals of the harmonical mean type, are new and unique.