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

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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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