A New Contribution in Fractional Integral Calculus and Inequalities over the Coordinated Fuzzy Codomain

Autor:	Zizhao Zhou, Ahmad Aziz Al Ahmadi, Alina Alb Lupas, Khalil Hadi Hakami
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	coordinated fuzzy mappings over ỽ-convexity over coordinates two-dimensional Riemann–Liouville fractional integral operator fractional inequalities Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 10, p 666 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13100666
Popis:	The correct derivation of integral inequalities on fuzzy-number-valued mappings depends on applying fractional calculus to fuzzy number analysis. The purpose of this article is to introduce a new class of convex mappings and generalize various previously published results on the fuzzy number and interval-valued mappings via fuzzy-order relations using fuzzy coordinated ỽ-convexity mappings so that the new version of the well-known Hermite–Hadamard (H-H) inequality can be presented in various variants via the fractional integral operators (Riemann–Liouville). Some new product forms of these inequalities for coordinated ỽ-convex fuzzy-number-valued mappings (coordinated ỽ-convex FNVMs) are also discussed. Additionally, we provide several fascinating non-trivial examples and exceptional cases to show that these results are accurate.
Databáze:	Directory of Open Access Journals
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