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Some new versions of jensen, schur and hermite-hadamard type inequalities for (P,j)-convex fuzzy-interval-valued functions
(American Institute of Mathematical Sciences, 2023) Khan, Muhammad Bilal; Santos-García, G.; Budak, Hüseyin; Treanta, Savin; Soliman, M.S.
To create various kinds of inequalities, the idea of convexity is essential. Convexity and integral inequality hence have a significant link. This study's goals are to introduce a new class of generalized convex fuzzy-interval-valued functions (convex FIVFs) which are known as (p,J) -convex FIVFs and to establish Jensen, Schur and Hermite-Hadamard type inequalities for (p,J) -convex FIVFs using fuzzy order relation. The Kulisch-Miranker order relation, which is based on interval space, is used to define this fuzzy order relation level-wise. Additionally, we have demonstrated that, as special examples, our conclusions encompass a sizable class of both new and well-known inequalities for (p,J) -convex FIVFs. We offer helpful examples that demonstrate the theory created in this study's application. These findings and various methods might point the way in new directions for modeling, interval-valued functions and fuzzy optimization issues. © 2023, American Institute of Mathematical Sciences. All rights reserved.