Up and Down h-Pre-Invex Fuzzy-Number Valued Mappings and Some Certain Fuzzy Integral Inequalities

The objective of the current paper is to incorporate new class and concepts convexity Hermite–Hadamard inequality with fuzzy Riemann integral operators because almost all classical single-valued interval-valued convex functions are special cases fuzzy-number valued mappings. Therefore, a nonconvex mapping in environment has been defined; up down h-pre-invex mappings (U.D F-N∙V∙Ms). With help this newly defined class, some versions (HH) type inequalities have also presented. Moreover, related such as HH Fejér- Pachpatte-type for U∙D F-N∙V∙Ms introduced. Some exceptional discussed, which can be seen applications main results. We provided nontrivial examples. Finally, we discuss future scopes.