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  • Article
  • Open Access
4 Citations
2,217 Views
19 Pages

Properties of Convex Fuzzy-Number-Valued Functions on Harmonic Convex Set in the Second Sense and Related Inequalities via Up and Down Fuzzy Relation

  • Muhammad Bilal Khan,
  • Željko Stević,
  • Abdulwadoud A. Maash,
  • Muhammad Aslam Noor and
  • Mohamed S. Soliman

20 April 2023

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-...

(This article belongs to the Special Issue Editorial Board Members’ Collection Series: Fuzzy Modeling, Optimization and Computational Intelligence)
  • Article
  • Open Access
15 Citations
2,466 Views
18 Pages

Some Fuzzy Inequalities for Harmonically s-Convex Fuzzy Number Valued Functions in the Second Sense Integral

  • Jorge E. Macías-Díaz,
  • Muhammad Bilal Khan,
  • Hleil Alrweili and
  • Mohamed S. Soliman

9 August 2022

Many fields of mathematics rely on convexity and nonconvexity, especially when studying optimization issues, where it stands out for a variety of practical aspects. Owing to the behavior of its definition, the idea of convexity also contributes signi...

(This article belongs to the Special Issue Symmetry in Computational and Mathematical Methods of Fractional Calculus)