New Hermite–Hadamard-type inequalities for -convex fuzzy-interval-valued functions

Advances in Difference Equations

article

Khan, Muhammad Bilal¹  Noor, Muhammad Aslam¹  Noor, Khalida Inayat¹  Chu, Yu-Ming² 

[1] Department of Mathematics, COMSATS University Islamabad;Department of Mathematics, Huzhou University

关键词: Fuzzy-interval-valued functions;    Fuzzy integral;    -convex fuzzy-interval-valued functions;    Hermite–Hadamard type inequalities;   

DOI  :  10.1186/s13662-021-03245-8

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we introduce the non-convex interval-valued functions for fuzzy-interval-valued functions, which are called -convex fuzzy-interval-valued functions, by means of fuzzy order relation. This fuzzy order relation is defined level-wise through Kulisch–Miranker order relation given on the interval space. By using the -convexity concept, we present fuzzy-interval Hermite–Hadamard inequalities for fuzzy-interval-valued functions. Several exceptional cases are debated, which can be viewed as useful applications. Interesting examples that verify the applicability of the theory developed in this study are presented. The results of this paper can be considered as extensions of previously established results.

【 授权许可】

CC BY