Some Certain Fuzzy Aumann Integral Inequalities for Generalized Convexity via Fuzzy Number Valued Mappings

The topic of convex and nonconvex mapping has many applications in engineering applied mathematics. Aumann fuzzy integrals are the most significant interval operators that allow classical theory to be generalized. This paper considers well-known Hermite–Hadamard (HH) type associated inequalities. With help newly introduced number valued up down convexity (UD-convexity), we increase this mileage even further. Additionally, with definitions lower UD-concave (lower UD-concave) upper UD-convex (concave) mappings (FNVMs), have gathered a sizable collection both new extraordinary cases act as main conclusions. We also offer few examples UD-convexity further demonstrate validity inclusion relations presented study.