Results 11 to 20 of about 4,289 (134)

Hermite–Hadamard-Type Inequalities for h-Godunova–Levin Convex Fuzzy Interval-Valued Functions via Riemann–Liouville Fractional q-Integrals

Fractal and Fractional
In this study, we develop new Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for fuzzy interval-valued functions (FIVFs) that exhibit h-Godunova–Levin convexity, using the framework of the Riemann–Liouville fractional (RLF) q-integral.
Muhammad Waseem Akram, Sajid Iqbal, Asfand Fahad, Yuanheng Wang   +3 more
doaj   +2 more sources

Some Integral Inequalities for Generalized Convex Fuzzy-Interval-Valued Functions via Fuzzy Riemann Integrals [PDF]

International Journal of Computational Intelligence Systems, 2021
AbstractIn this study, we introduce the new concept of $$h$$ h -convex fuzzy-interval-valued functions. Under the new concept, we present new versions of Hermite–Hadamard inequalities (H–H inequalities) are called fuzzy-interval Hermite–Hadamard type inequalities for $$h$$ h -convex ...
Muhammad Bilal Khan, Muhammad Aslam Noor, Pshtiwan Othman Mohammed, Juan Luis García Guirao, Khalida Inayat Noor   +4 more
openaire   +1 more source

Riemann Liouville fractional-like integral operators, convex-like real-valued mappings and their applications over fuzzy domain

Chaos, Solitons and Fractals, 2023
Muhammad Bilal Khan
exaly   +2 more sources

Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann–Liouville Fractional Integral Inequalities

International Journal of Computational Intelligence Systems, 2021
It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana, Muhammad Bilal Khan, Muhammad Aslam Noor, Pshtiwan Othman Mohammed, Yu-Ming Chu   +4 more
doaj   +1 more source

Some New Concepts Related to Integral Operators and Inequalities on Coordinates in Fuzzy Fractional Calculus

Mathematics, 2022
In interval analysis, the fuzzy inclusion relation and the fuzzy order relation are two different concepts. Under the inclusion connection, convexity and non-convexity form a substantial link with various types of inequalities.
Muhammad Bilal Khan, Gustavo Santos-García, Hatim Ghazi Zaini, Savin Treanță, Mohamed S. Soliman   +4 more
doaj   +1 more source

A Study of Some Properties of Fuzzy Laplace Transform with Their Applications in Solving the Second-Order Fuzzy Linear Partial Differential Equations

Advances in Fuzzy Systems, 2023
In this paper, several results and theorems about the high-order strongly generalized Hukuhara differentiability of function defined via the fuzzy Riemann improper integral (in the sense of Wu) have been established.
Elhassan Eljaoui, Said Melliani
doaj   +1 more source

Up and Down $\mathit{h}$-Pre-Invex Fuzzy-Number Valued Mappings and Some Certain Fuzzy Integral Inequalities

Axioms, 2022
The objective of the current paper is to incorporate the new class and concepts of convexity and Hermite–Hadamard inequality with the fuzzy Riemann integral operators because almost all classical single-valued and interval-valued convex functions are ...
Muhammad Bilal Khan, Hatim Ghazi Zaini, Jorge E. Macías-Díaz, Mohamed S. Soliman   +3 more
doaj   +1 more source

Fuzzy Differential Subordination and Superordination Results Involving the q-Hypergeometric Function and Fractional Calculus Aspects

Mathematics, 2022
The concepts of fuzzy differential subordination and superordination were introduced in the geometric function theory as generalizations of the classical notions of differential subordination and superordination.
Alina Alb Lupaş, Georgia Irina Oros
doaj   +1 more source

Adapted Fuzzy Integral: An Application in the Finite Element Method

Trends in Computational and Applied Mathematics, 2018
In this paper we study and define an adapted fuzzy integral, based on the Sugeno integral. Moreover, we present a numerical integration formula which approximates the value of the adapted fuzzy integral.
Daniel Sánchez, Luana T. Bassani, Laécio C. Barros, Estevão Esmi   +3 more
doaj   +1 more source

Weighted Fractional Hermite–Hadamard Integral Inequalities for up and down Ԓ-Convex Fuzzy Mappings over Coordinates

Mathematics, 2023
Due to its significant influence on numerous areas of mathematics and practical sciences, the theory of integral inequality has attracted a lot of interest.
Muhammad Bilal Khan, Eze R. Nwaeze, Cheng-Chi Lee, Hatim Ghazi Zaini, Der-Chyuan Lou, Khalil Hadi Hakami   +5 more
doaj   +1 more source