[HTML][HTML] On fuzzy fractional integral operators having exponential kernels and related certain inequalities for exponential trigonometric convex fuzzy-number valued …

MB Khan, HA Othman, G Santos-García, T Saeed… - Chaos, Solitons & …, 2023 - Elsevier
The most important operator in fractional theory that enables the classical theory of integrals
to be generalized is the Riemann-Liouville fractional integrals. In this paper, we have …

[HTML][HTML] Perturbed mixed variational-like inequalities and auxiliary principle pertaining to a fuzzy environment

MB Khan, G Santos-García, S Treanțǎ, MA Noor… - Symmetry, 2022 - mdpi.com
Convex and non-convex fuzzy map**s are well known to be important in the research of
fuzzy optimization. Symmetry and the idea of convexity are closely related. Therefore, the …

Some certain fuzzy aumann integral inequalities for generalized convexity via fuzzy number valued map**s

MB Khan, HA Othman, MG Voskoglou, L Abdullah… - Mathematics, 2023 - mdpi.com
The topic of convex and nonconvex map** has many applications in engineering and
applied mathematics. The Aumann and fuzzy Aumann integrals are the most significant …

Up and Down h-Pre-Invex Fuzzy-Number Valued Map**s and Some Certain Fuzzy Integral Inequalities

MB Khan, HG Zaini, JE Macías-Díaz, MS Soliman - Axioms, 2022 - mdpi.com
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 …

Some new versions of fractional inequalities for exponential trigonometric convex map**s via ordered relation on interval-valued settings

MB Khan, A Cătaş, N Aloraini, MS Soliman - Fractal and Fractional, 2023 - mdpi.com
This paper's main goal is to introduce left and right exponential trigonometric convex interval-
valued map**s and to go over some of their important characteristics. Additionally, we …

The Estimation of Different Kinds of Integral Inequalities for a Generalized Class of Convex Map** and a Harmonic Set via Fuzzy Inclusion Relations and Their …

A Althobaiti, S Althobaiti, M Vivas Cortez - Axioms, 2024 - mdpi.com
The relationship between convexity and symmetry is widely recognized. In fuzzy theory, both
concepts exhibit similar behavior. It is crucial to remember that real and interval-valued …

[HTML][HTML] New Versions of Fuzzy-Valued Integral Inclusion over p-Convex Fuzzy Number-Valued Map**s and Related Fuzzy Aumman's Integral Inequalities

NA Alreshidi, MB Khan, D Breaz, LI Cotirla - Symmetry, 2023 - mdpi.com
It is well known that both concepts of symmetry and convexity are directly connected.
Similarly, in fuzzy theory, both ideas behave alike. It is important to note that real and interval …

Generalized Harmonically Convex Fuzzy-Number-Valued Map**s and Fuzzy Riemann–Liouville Fractional Integral Inequalities

MB Khan, A Rakhmangulov, N Aloraini, MA Noor… - Mathematics, 2023 - mdpi.com
We propose the concept of up and down harmonically convex map** for fuzzy-number-
valued map** as our main goal in this work. With the help of up and down harmonically …

Pre-Invexity and Fuzzy Fractional Integral Inequalities via Fuzzy Up and Down Relation

MB Khan, JE Macías-Díaz, S Jafari, AA Maash… - Symmetry, 2023 - mdpi.com
The symmetric function class interacts heavily with other types of functions. One of these is
the pre-invex function class, which is strongly related to symmetry theory. This paper …

HERMITE–HADAMARD TYPE INEQUALITIES FOR -CONVEX FUNCTION VIA FUZZY INTERVAL-VALUED FRACTIONAL -INTEGRAL

H Cheng, D Zhao, MZ Sarikaya - Fractals, 2024 - World Scientific
Fractional q-calculus is considered to be the fractional analogs of q-calculus. In this paper,
the fuzzy interval-valued Riemann–Liouville fractional (RLF) q-integral operator is …