New Hermite-Hadamard Inequalities for Convex Fuzzy-Number-Valued Mappings via Fuzzy Riemann Integrals

被引：11
|
作者：
Khan, Muhammad Bilal [1 ]
Santos-Garcia, Gustavo [2 ,3 ]
Noor, Muhammad Aslam [1 ]
Soliman, Mohamed S. [4 ]
机构：
[1] COMSATS Univ Islamabad, Dept Math, Islamabad 44000, Pakistan
[2] Univ Salamanca, Fac Econ & Empresa, Salamanca 37007, Spain
[3] Univ Salamanca, Multidisciplinary Inst Enterprise IME, Salamanca 37007, Spain
[4] Taif Univ, Coll Engn, Dept Elect Engn, POB 11099, Taif 21944, Saudi Arabia
来源：
MATHEMATICS | 2022年 / 10卷 / 18期
关键词：
fuzzy-number-valued mapping; fuzzy Riemann integral; convex fuzzy number valued mapping; Hermite-Hadamard inequality; Hermite-Hadamard-Fejer inequality; BOUNDS; CONCAVITY; TERMS;
D O I：
10.3390/math10183251
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This study uses fuzzy order relations to examine Hermite-Hadamard inequalities (-inequalities) for convex fuzzy-number-valued mappings (FNVMs). The Kulisch-Miranker order relation, which is based on interval space, is used to define this fuzzy order relation which is defined level-wise. By utilizing this idea, several novel- and-Fejer-type inequalities are established in the fuzzy environment via convex FNVMs. Additional novel-type inequalities for the product of convex FNVMs are also found and proven with the use of practical examples. Additionally, certain unique situations that can be seen as applications of fuzzy-inequalities are presented. The ideas and methods presented in this work might serve as a springboard for more study in this field.
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收藏
页数：18
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