Some New Versions of Hermite-Hadamard Integral Inequalities in Fuzzy Fractional Calculus for Generalized Pre-Invex Functions via Fuzzy-Interval-Valued Settings

The purpose of this study is to prove the existence of fractional integral inclusions that are connected to the Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for chi -pre-invex fuzzy-interval-valued functions. Some of the related fractional integral inequalities are also proved via Riemann-Liouville fractional integral operator, where integrands are fuzzy-interval-valued functions. To prove the validity of our main results, some of the nontrivial examples are also provided. As specific situations, our findings can provide a variety of new and well-known outcomes which can be viewed as applications of our main results. The results in this paper can be seen as refinements and improvements to previously published findings.