Some new versions of integral inequalities for log-preinvex fuzzy-interval-valued functions through fuzzy order relation
Muhammad Bilal Khan, H. M. Srivastava, Pshtiwan Othman Mohammed, Jorge E. Macías‐Díaz, Y. S. Hamed
Abstract
In this paper, firstly we define the new class of log-preinvex fuzzy-interval-valued functions which is called log-h-preinvex fuzzy-interval-valued functions (log-h-preinvex FIVFs) by means of fuzzy order relation. This fuzzy order relation is defined level wise through Kulisch-Miranker order relation defined on fuzzy-interval space. Secondly, some new Hermite-Hadamard-type and Hermite-Hadamard-Fejér inequalities for log-h-preinvex FIVFs via fuzzy integrals are also established. Finally, we obtain some related inequalities for log-h-preinvex FIVFs. To strengthen our results, we provide some examples to illustrate the validation of our results, and several new and previously known results are obtained.