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

被引：101

作者：

Khan, Muhammad Bilal ^{[1
]}

Noor, Muhammad Aslam ^{[1
]}

Noor, Khalida Inayat ^{[1
]}

Chu, Yu-Ming ^{[2
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Islamabad, Pakistan

[2] Huzhou Univ, Dept Math, Huzhou, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fuzzy-interval-valued functions; Fuzzy integral; -convex fuzzy-interval-valued functions; Hermite-Hadamard type inequalities;

D O I：

10.1186/s13662-021-03245-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：20

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