The New Versions of Hermite–Hadamard Inequalities for Pre-invex Fuzzy-Interval-Valued Mappings via Fuzzy Riemann Integrals

Abstract In this study, we use the fuzzy order relation to show some novel variants of Hermite–Hadamard inequalities for pre-invex fuzzy-interval-valued mappings ( F-I∙V-Ms ), which term fuzzy-interval and Hermite–Hadamard–Fejér inequalities. This is defined as level space by Kulisch–Miranker relation. There are also new exceptional instances mentioned. The theory proposed in research shown with practical examples that demonstrate its usefulness. paper's approaches methodologies might serve a springboard future study field.