Generalized Harmonically Convex Fuzzy-Number-Valued Mappings and Fuzzy Riemann–Liouville Fractional Integral Inequalities

Muhammad Bilal Khan (), Aleksandr Rakhmangulov (), Najla Aloraini, Muhammad Aslam Noor and Mohamed S. Soliman
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Muhammad Bilal Khan: Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
Aleksandr Rakhmangulov: Department of Logistics and Transportation Systems Management, Nosov Magnitogorsk State Technical University, Magnitogorsk 455000, Russia
Najla Aloraini: Department of Mathematics, College of Sciences and Arts Onaizah, Qassim University, P.O. Box 6640, Buraydah 51452, Saudi Arabia
Muhammad Aslam Noor: Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
Mohamed S. Soliman: Department of Electrical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Mathematics, 2023, vol. 11, issue 3, 1-24

Abstract: We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued mapping as our main goal in this work. With the help of up and down harmonically fuzzy-number convexity and the fuzzy fractional integral operator, we also show the results for the Hermite–Hadamard ( H – H ) inequality, the Fejér type inequality, and some other related versions of inequalities. Moreover, some examples are also presented to discuss the validity of the main results. The results from the new technique show how the suggested scheme is accurate, adaptable, efficient, and user-friendly.

Keywords: up and down harmonically convex fuzzy-number-valued function; fuzzy fractional integral Hermite–Hadamard inequality; Hermite–Hadamard–Fejér inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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