| Summary: | This study uses fuzzy order relations to examine Hermite–Hadamard inequalities (𝐻𝐻-inequalities) for convex fuzzy-number-valued mappings (FNVMs). The Kulisch–Miranker order relation, which is based on interval space, is used to define this fuzzy order relation which is defined level-wise. By utilizing this idea, several novel 𝐻𝐻- and 𝐻𝐻-Fejér-type inequalities are established in the fuzzy environment via convex FNVMs. Additional novel 𝐻𝐻-type inequalities for the product of convex FNVMs are also found and proven with the use of practical examples. Additionally, certain unique situations that can be seen as applications of fuzzy 𝐻𝐻-inequalities are presented. The ideas and methods presented in this work might serve as a springboard for more study in this field.
|
|---|