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- Title
Pre-Invexity and Fuzzy Fractional Integral Inequalities via Fuzzy Up and Down Relation.
- Authors
Khan, Muhammad Bilal; Macías-Díaz, Jorge E.; Jafari, Saeid; Maash, Abdulwadoud A.; Soliman, Mohamed S.
- 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.
- Subjects
FRACTIONAL integrals; FUZZY integrals; SYMMETRIC functions; NONLINEAR equations; TRUST; FUZZY sets; INTEGRAL inequalities
- Publication
Symmetry (20738994), 2023, Vol 15, Issue 4, p862
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym15040862