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Keywords = coordinated preinvex fuzzy-interval-valued function

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25 pages, 790 KB  
Article
Hermite–Hadamard and Pachpatte Type Inequalities for Coordinated Preinvex Fuzzy-Interval-Valued Functions Pertaining to a Fuzzy-Interval Double Integral Operator
by Gustavo Santos-García, Muhammad Bilal Khan, Hleil Alrweili, Ahmad Aziz Alahmadi and Sherif S. M. Ghoneim
Mathematics 2022, 10(15), 2756; https://doi.org/10.3390/math10152756 - 3 Aug 2022
Cited by 12 | Viewed by 2026
Abstract
Many authors have recently examined the relationship between symmetry and generalized convexity. Generalized convexity and symmetry have become a new area of study in the field of inequalities as a result of this close relationship. In this article, we introduce the idea of [...] Read more.
Many authors have recently examined the relationship between symmetry and generalized convexity. Generalized convexity and symmetry have become a new area of study in the field of inequalities as a result of this close relationship. In this article, we introduce the idea of preinvex fuzzy-interval-valued functions (preinvex F∙I-V∙F) on coordinates in a rectangle drawn on a plane and show that these functions have Hermite–Hadamard-type inclusions. We also develop Hermite–Hadamard-type inclusions for the combination of two coordinated preinvex functions with interval values. The weighted Hermite–Hadamard-type inclusions for products of coordinated convex interval-valued functions discussed in a recent publication by Khan et al. in 2022 served as the inspiration for our conclusions. Our proven results expand and generalize several previous findings made in the body of literature. Additionally, we offer appropriate examples to corroborate our theoretical main findings. Full article
(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
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