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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Bibliographic Details
Published inAIMS mathematics Vol. 9; no. 7; pp. 17696 - 17715
Main Authors Nayab, Iqra, Mubeen, Shahid, Ali, Rana Safdar, Zahoor, Faisal, Awadalla, Muath, Elamin, Abd Elmotaleb A. M. A.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2024
Subjects
fuzzy convexity
fuzzy fractional integral
fuzzy interval-valued function
hermite-hadamard inequality
preinvex function
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Summary: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