Results 21 to 30 of about 792 (250)

Discussion on Fuzzy Integral Inequalities via Aumann Integrable Convex Fuzzy-Number Valued Mappings over Fuzzy Inclusion Relation

Mathematics, 2023
Convex bodies are naturally symmetrical. There is also a correlation between the two variables of symmetry and convexity. Their use, in either case, has been feasible in recent years because of their interchangeable and similar properties.
Muhammad Bilal Khan, Hakeem A. Othman, Aleksandr Rakhmangulov, Mohamed S. Soliman, Alia M. Alzubaidi   +4 more
doaj   +1 more source

Some Novel Estimates of Integral Inequalities for a Generalized Class of Harmonical Convex Mappings by Means of Center-Radius Order Relation

Journal of Mathematics, 2023
In interval analysis, integral inequalities are determined based on different types of order relations, including pseudo, fuzzy, inclusion, and various other partial order relations.
Waqar Afzal, Khurram Shabbir, Mubashar Arshad, Joshua Kiddy K. Asamoah, Ahmed M. Galal   +4 more
doaj   +1 more source

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

International Journal of Computational Intelligence Systems, 2022
The framework of fuzzy-interval-valued functions (FIVFs) is a generalization of interval-valued functions (IVF) and single-valued functions. To discuss convexity with these kinds of functions, in this article, we introduce and investigate the ...
Muhammad Bilal Khan, Hatim Ghazi Zaini, Gustavo Santos-García, Pshtiwan Othman Mohammed, Mohamed S. Soliman   +4 more
doaj   +1 more source

Generalized p-Convex Fuzzy-Interval-Valued Functions and Inequalities Based upon the Fuzzy-Order Relation

Fractal and Fractional, 2022
Convexity is crucial in obtaining many forms of inequalities. As a result, there is a significant link between convexity and integral inequality.
Muhammad Bilal Khan, Savin Treanțǎ, Hüseyin Budak   +2 more
doaj   +1 more source

LR-Preinvex Interval-Valued Functions and Riemann–Liouville Fractional Integral Inequalities

Fractal and Fractional, 2021
Convexity is crucial in obtaining many forms of inequalities. As a result, there is a significant link between convexity and integral inequality.
Muhammad Bilal Khan, Muhammad Aslam Noor, Thabet Abdeljawad, Abd Allah A. Mousa, Bahaaeldin Abdalla, Safar M. Alghamdi   +5 more
doaj   +1 more source

Mathematical insights into interval solutions of fuzzy relation inequalities for effective Information resource sharing in business education

Applied Mathematics in Science and Engineering, 2023
To examine the connectivity of educational and business institution networks and assess their resource accessibility, we have employed min-max fuzzy relation systems.
Lei Zhang
doaj   +1 more source

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

Axioms, 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-convex FNVM) in the ...
Muhammad Bilal Khan, Željko Stević, Abdulwadoud A. Maash, Muhammad Aslam Noor, Mohamed S. Soliman   +4 more
doaj   +1 more source

Decomposition Integrals of Set-Valued Functions Based on Fuzzy Measures

Mathematics, 2023
The decomposition integrals of set-valued functions with regards to fuzzy measures are introduced in a natural way. These integrals are an extension of the decomposition integral for real-valued functions and include several types of set-valued integrals,
Leifan Yan, Tong Kang, Huai Zhang
doaj   +1 more source

Hermite–Hadamard, Fejér and Pachpatte-Type Integral Inequalities for Center-Radius Order Interval-Valued Preinvex Functions

Fractal and Fractional, 2022
The objective of this manuscript is to establish a link between the concept of inequalities and Center-Radius order functions, which are intriguing due to their properties and widespread use.
Soubhagya Kumar Sahoo, Muhammad Amer Latif, Omar Mutab Alsalami, Savin Treanţă, Weerawat Sudsutad, Jutarat Kongson   +5 more
doaj   +1 more source

Novel Fuzzy Ostrowski Integral Inequalities for Convex Fuzzy-Valued Mappings over a Harmonic Convex Set: Extending Real-Valued Intervals Without the Sugeno Integrals

Mathematics
This study presents new fuzzy adaptations of Ostrowski’s integral inequalities through a novel class of convex fuzzy-valued mappings defined over a harmonic convex set, avoiding the use of the Sugeno integral. These innovative inequalities generalize the
Mesfer H. Alqahtani, Der-Chyuan Lou, Fahad Sikander, Yaser Saber, Cheng-Chi Lee   +4 more
doaj   +1 more source