Прегледај по Аутор "Noor, Muhammad Aslam"

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    Properties of Convex Fuzzy-Number-Valued Functions on Harmonic Convex Set in the Second Sense and Related Inequalities via Up and Down Fuzzy Relation
    (MDPI, 2023) Khan, Muhammad Bilal; Stević, Željko; Maash, Abdulwadoud A.; Noor, Muhammad Aslam; Soliman, Mohamed S.
    In this paper, we provide different variants of the Hermite–Hadamard (H - H) inequality using the concept of a new class of convex mappings, which is referred to as up and down harmonically s-convex fuzzy-number-valued functions (UDH s-convex FNVM) in the second sense based on the up and down fuzzy inclusion relation. The findings are confirmed with certain numerical calculations that take a few appropriate examples into account. The results deal with various integrals of the 2rs r+s type and are innovative in the setting of up and down harmonically s-convex fuzzy-number-valued functions. Moreover, we acquire classical and new exceptional cases that can be seen as applications of our main outcomes. In our opinion, this will make a significant contribution to encouraging more research.