[HTML][HTML] Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities

MB Khan, G Santos-García, MA Noor… - Chaos, Solitons & …, 2022 - Elsevier
The theory of convex mapping has a lot of applications in the field of applied mathematics
and engineering. The fuzzy Riemann-Liouville fractional integrals are the most significant …

[PDF][PDF] Harmonically convex fuzzy-interval-valued functions and fuzzy-interval Riemann-Liouville fractional integral inequalities

G Sana, MB Khan, MA Noor… - Int. J. Comput. Intell …, 2021 - researchgate.net
It is well known that the concept of convexity establishes strong relationship with integral
inequality for single-valued and interval-valued function. The single-valued function and …

Some novel inequalities for LR‐ ‐convex interval‐valued functions by means of pseudo‐order relation

M Bilal Khan, MA Noor… - … Methods in the …, 2022 - Wiley Online Library
In both theoretical and applied mathematics fields, integral inequalities play a critical role.
Due to the behavior of the definition of convexity, both concepts convexity and integral …

Higher-order strongly preinvex fuzzy mappings and fuzzy mixed variational-like inequalities

MB Khan, MA Noor, KI Noor… - International Journal of …, 2021 - atlantis-press.com
A family of fuzzy mappings is called higher-order strongly preinvex fuzzy mappings (HOS-
preinvex fuzzy mappings), which take the place of generalization of the notion of …

[PDF][PDF] Treant, a, S

MB Khan, HG Zaini - Variational Problems and Applications, 2022 - files.znu.edu.ua
The concepts of convex and non-convex functions play a key role in the study of
optimization. So, with the help of these ideas, some inequalities can also be established …

Some new versions of Hermite–Hadamard integral inequalities in fuzzy fractional calculus for generalized pre-invex Functions via fuzzy-interval-valued settings

MB Khan, MA Noor, NA Shah, KM Abualnaja… - Fractal and …, 2022 - mdpi.com
The purpose of this study is to prove the existence of fractional integral inclusions that are
connected to the Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for χ …

[PDF][PDF] Some new inequalities for LR-log-h-convex interval-valued functions by means of pseudo order relation

MB Khan, MA Noor, HM Al-Bayatti, KI Noor - Appl. Math. Inf. Sci, 2021 - researchgate.net
In this paper, we introduce the concept of LR-log-h-convex interval-valued functions. Under
the new concept, we present new versions of Hermite-Hadamard inequalities (ie LR-interval …

New class up and down λ-convex fuzzy-number valued mappings and related fuzzy fractional inequalities

MB Khan, HG Zaini, G Santos-García, MA Noor… - Fractal and …, 2022 - mdpi.com
The fuzzy-number valued up and down λ-convex mapping is originally proposed as an
intriguing generalization of the convex mappings. The newly suggested mappings are then …

[PDF][PDF] Fuzzy integral inequalities on coordinates of convex fuzzy interval-valued functions

MB Khan, PO Mohammed, MA Noor… - Math. Biosci …, 2021 - researchgate.net
In this study, we introduce and study new fuzzy-interval integral is known as fuzzy-interval
double integral, where the integrand is fuzzy-interval-valued functions (FIVFs). Also, some …

The new versions of hermite–hadamard inequalities for pre-invex fuzzy-interval-valued mappings via fuzzy riemann integrals

MB Khan, MA Noor, HG Zaini, G Santos-García… - International Journal of …, 2022 - Springer
In this study, we use the fuzzy order relation to show some novel variants of Hermite–
Hadamard inequalities for pre-invex fuzzy-interval-valued mappings (FI∙ V-Ms), which we …