Novel Fractional Inequalities Measured by Prabhakar Fuzzy Fractional Operators Pertaining to Fuzzy Convexities and Preinvexities
AIMS Mathematics（2024）
Univ Sargodha | Univ Lahore | King Faisal Univ | 4. Department of Mathematics
Abstract
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.
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Key words
fuzzy fractional integral,fuzzy interval-valued function,preinvex function,fuzzy convexity,Hermite-Hadamard inequality
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