Some new versions of integral inequalities for log-preinvex fuzzy-interval-valued functions through fuzzy order relation

Muhammad Bilal Khan; Hari Mohan Srivastava; Pshtiwan Othman Mohammed; Jorge E. Macías-Díaz; Y.S. Hamed

Alexandria Engineering Journal (Sep 2022)

Some new versions of integral inequalities for log-preinvex fuzzy-interval-valued functions through fuzzy order relation

Muhammad Bilal Khan,
Hari Mohan Srivastava,
Pshtiwan Othman Mohammed,
Jorge E. Macías-Díaz,
Y.S. Hamed

Affiliations

Muhammad Bilal Khan: Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
Hari Mohan Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan; Department of Mathematics and Informatics, Azerbaijan University, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan; Section of Mathematics, International Telematic University Uninettuno, I-00186 Rome, Italy
Pshtiwan Othman Mohammed: Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Kurdistan Region, Iraq; Corresponding authors.
Jorge E. Macías-Díaz: Departamento de Matemáticas y Física, Universidad Autónoma de Aguascalientes, Avenida Universidad 940, Ciudad Universitaria, Aguascalientes 20131, Mexico; Department of Mathematics, School of Digital Technologies, Tallinn University, Narva Rd. 25, 10120 Tallinn, Estonia; Corresponding authors.
Y.S. Hamed: Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Journal volume & issue: Vol. 61, no. 9
pp. 7089 – 7101

Abstract

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In this paper, firstly we define the new class of log-preinvex fuzzy-interval-valued functions which is called log-h-preinvex fuzzy-interval-valued functions (log-h-preinvex FIVFs) by means of fuzzy order relation. This fuzzy order relation is defined level wise through Kulisch-Miranker order relation defined on fuzzy-interval space. Secondly, some new Hermite-Hadamard-type and Hermite-Hadamard-Fejér inequalities for log-h-preinvex FIVFs via fuzzy integrals are also established. Finally, we obtain some related inequalities for log-h-preinvex FIVFs. To strengthen our results, we provide some examples to illustrate the validation of our results, and several new and previously known results are obtained.

Published in Alexandria Engineering Journal

ISSN: 1110-0168 (Print); 2090-2670 (Online)
Publisher: Elsevier
Country of publisher: Egypt
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: http://www.journals.elsevier.com/alexandria-engineering-journal/

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