Novel fractional inequalities measured by Prabhakar fuzzy fractional operators pertaining to fuzzy convexities and preinvexities

In this article, we implemented the idea of a fuzzy interval-valued function with the well-known generalized fuzzy fractional operators, associated with different types of convexities and preinvexities. We developed the Prabhakar fuzzy fractional operators using the fuzzy interval-valued function. W...

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Veröffentlicht in:AIMS Mathematics 2024-01, Vol.9 (7), p.17696-17715
Hauptverfasser: Nayab, Iqra, Mubeen, Shahid, Ali, Rana Safdar, Zahoor, Faisal, Awadalla, Muath, Elamin, Abd Elmotaleb A. M. A.
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Sprache:eng
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Zusammenfassung:In this article, we implemented the idea of a fuzzy interval-valued function with the well-known generalized fuzzy fractional operators, associated with different types of convexities and preinvexities. We developed the Prabhakar fuzzy fractional operators using the fuzzy interval-valued function. We presented the novel extensions of Hermite-Hadamard fuzzy-type and trapezoidal fuzzy-type inequalities, based on the $ h $-Godunova-Levin convex and $ h $-Godunova preinvex fuzzy interval-valued functions.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2024860