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

Iqra Nayab; Shahid Mubeen; Rana Safdar Ali; Faisal Zahoor; Muath Awadalla; Abd Elmotaleb A.M.A. Elamin

doi:10.3934/math.2024860

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

Iqra Nayab, Shahid Mubeen, Rana Safdar Ali, Faisal Zahoor, Muath Awadalla, Abd Elmotaleb A.M.A. Elamin

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 fuzzytype inequalities, based on the h-Godunova-Levin convex and h-Godunova preinvex fuzzy intervalvalued functions.

Original language	English
Pages (from-to)	17696-17715
Number of pages	20
Journal	AIMS Mathematics
Volume	9
Issue number	7
DOIs	https://doi.org/10.3934/math.2024860
State	Published - 2024

Keywords

Hermite-Hadamard inequality
fuzzy convexity
fuzzy fractional integral
fuzzy interval-valued function
preinvex function

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10.3934/math.2024860

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title = "Novel fractional inequalities measured by Prabhakar fuzzy fractional operators pertaining to fuzzy convexities and preinvexities",

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 fuzzytype inequalities, based on the h-Godunova-Levin convex and h-Godunova preinvex fuzzy intervalvalued functions.",

keywords = "Hermite-Hadamard inequality, fuzzy convexity, fuzzy fractional integral, fuzzy interval-valued function, preinvex function",

author = "Iqra Nayab and Shahid Mubeen and Ali, \{Rana Safdar\} and Faisal Zahoor and Muath Awadalla and Elamin, \{Abd Elmotaleb A.M.A.\}",

year = "2024",

doi = "10.3934/math.2024860",

language = "English",

volume = "9",

pages = "17696--17715",

journal = "AIMS Mathematics",

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publisher = "American Institute of Mathematical Sciences",

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T1 - Novel fractional inequalities measured by Prabhakar fuzzy fractional operators pertaining to fuzzy convexities and preinvexities

AU - Nayab, Iqra

AU - Mubeen, Shahid

AU - Ali, Rana Safdar

AU - Zahoor, Faisal

AU - Awadalla, Muath

AU - Elamin, Abd Elmotaleb A.M.A.

PY - 2024

Y1 - 2024

N2 - 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 fuzzytype inequalities, based on the h-Godunova-Levin convex and h-Godunova preinvex fuzzy intervalvalued functions.

AB - 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 fuzzytype inequalities, based on the h-Godunova-Levin convex and h-Godunova preinvex fuzzy intervalvalued functions.

KW - Hermite-Hadamard inequality

KW - fuzzy convexity

KW - fuzzy fractional integral

KW - fuzzy interval-valued function

KW - preinvex function

UR - https://www.scopus.com/pages/publications/85200661482

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DO - 10.3934/math.2024860

M3 - Article

AN - SCOPUS:85200661482

SN - 2473-6988

VL - 9

SP - 17696

EP - 17715

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 7

ER -

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

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Keywords

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