EXPLORING FRACTIONAL HERMITE–HADAMARD INCLUSIONS IN UP–DOWN FUZZY MECHANISM ASSOCIATED WITH MULTIPLE HARMONIC CONVEXITIES

Our study explores a new concept: merging fuzzy-valued convex mappings that collaborate with the up–down fuzzy inclusion mechanism. This latest version of convexity links to various other convexities as well, which have been previously presented in the literature. So, applying this idea benefits us with several modifications of Fuzzy Fractional Hermite–Hadamard ([Formula: see text]) and Fejér inclusions. To examine the importance and accuracy of our results, we provide graphical insights by considering simple, understandable examples. These findings, which contribute to a greater understanding of fuzzy fractional integrals of the harmonical mean type, are new and unique.

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Publication Details

Journal
Fractals
Published
2025-01-01
DOI
https://doi.org/10.1142/s0218348x25401589
Primary Topic
Optimization and Variational Analysis
Type
article
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article

EXPLORING FRACTIONAL HERMITE–HADAMARD INCLUSIONS IN UP–DOWN FUZZY MECHANISM ASSOCIATED WITH MULTIPLE HARMONIC CONVEXITIES

Ahsan Fareed Shah, Adil Jhangeer, El‐Sayed M. Sherif, Muhammad Bilal Riaz et al.
Fractals
Optimization and Variational Analysis
article

EXPLORING FRACTIONAL HERMITE–HADAMARD INCLUSIONS IN UP–DOWN FUZZY MECHANISM ASSOCIATED WITH MULTIPLE HARMONIC CONVEXITIES

Ahsan Fareed Shah, Adil Jhangeer, El‐Sayed M. Sherif, Muhammad Bilal Riaz, Jie Li
article en

Abstract

Our study explores a new concept: merging fuzzy-valued convex mappings that collaborate with the up–down fuzzy inclusion mechanism. This latest version of convexity links to various other convexities as well, which have been previously presented in the literature. So, applying this idea benefits us with several modifications of Fuzzy Fractional Hermite–Hadamard ([Formula: see text]) and Fejér inclusions. To examine the importance and accuracy of our results, we provide graphical insights by considering simple, understandable examples. These findings, which contribute to a greater understanding of fuzzy fractional integrals of the harmonical mean type, are new and unique.

FractalsVol. 33(08)
VSB - Technical University of Ostrava (CZ), Applied Science Private University (JO), King Saud University (SA), Suzhou University of Science and Technology (CN), University of Okara (PK)
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Openalex Percentile: Top 84%
Optimization and Variational Analysis
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EXPLORING FRACTIONAL HERMITE–HADAMARD INCLUSIONS IN UP–DOWN FUZZY MECHANISM ASSOCIATED WITH MULTIPLE HARMONIC CONVEXITIES — Ahsan Fareed Shah, Adil Jhangeer, et al. · Fractals (2025) | TGRS Research Map | TGRS