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Symmetry
Article . 2023 . Peer-reviewed
License: CC BY
Data sources: Crossref
DBLP
Article . 2025
Data sources: DBLP
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Pre-Invexity and Fuzzy Fractional Integral Inequalities via Fuzzy Up and Down Relation

Authors: Muhammad Bilal Khan; Jorge Eduardo Macías-Díaz; Saeid Jafari; Abdulwadoud A. Maash; Mohamed S. Soliman;

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

Abstract

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 proposes a novel fuzzy fractional extension of the Hermite-Hadamard, Hermite-Hadamard-Fejér, and Pachpatte type inequalities for up and down pre-invex fuzzy-number-valued mappings. Using fuzzy fractional operators, several generalizations have been developed, where well-known results fit as particular cases. Additionally, some non-trivial examples are included to support the discussion and the applicability of the key findings. The approach appears trustworthy and effective for dealing with various nonlinear problems in science and engineering. The findings are general and may constitute contributions to complex waveform theory.

Keywords

generalized convex fuzzy-number-valued mapping over invex set; fuzzy fractional integral; Hermite–Hadamard type inequality; Hermite–Hadamard–Fejér type inequality

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
gold