Some Certain Fuzzy Fractional Inequalities for Up and Down ?-Pre-Invex via Fuzzy-Number Valued Mappings

In this study, we apply a recently developed idea of up and down fuzzy-ordered relations between two fuzzy numbers. Here, consider Riemann–Liouville fractional integrals to establish the Hermite–Hadamard-, Fejér-, Pachpatte-type inequalities. We estimate inequalities for newly introduced class ?-preinvexity over fuzzy-number valued settings. For first time, such involving functions are proven using operator. The stated supported by few numerical examples that will be helpful validate our main results.