Some New Estimates of Fuzzy Integral Inequalities for Harmonically Convex Fuzzy-Number-Valued Mappings via up and down Fuzzy Relation

被引：3
|
作者：
Khan, Muhammad Bilal [1 ]
Rahman, Aziz Ur [2 ]
Maash, Abdulwadoud A. [3 ]
Treanta, Savin [4 ]
Soliman, Mohamed S. [3 ]
机构：
[1] COMSATS Univ Islamabad, Dept Math, Islamabad 44000, Pakistan
[2] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan
[3] Taif Univ, Coll Engn, Dept Elect Engn, POB 11099, Taif 21944, Saudi Arabia
[4] Univ Politehn Bucuresti, Dept Appl Math, Bucharest 060042, Romania
来源：
AXIOMS | 2023年 / 12卷 / 04期
关键词：
generalized convex fuzzy-number-valued mapping over harmonic convex set; fuzzy Aumann integrals; Hermite-Hadamard Fejer-type inequalities; BOUNDS; CONCAVITY; CALCULUS; TERMS;
D O I：
10.3390/axioms12040365
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, the up and down harmonically convex fuzzy-number-valued mapping which is a novel kind of harmonically convex fuzzy-number-valued mapping is introduced. In addition, it is highlighted that the new idea of up and down harmonically convex fuzzy-number-valued mapping (U-O-H convex F-N-V-M), which is a generalization of the previous class, describes a variety of new and classical classes as special cases by employing some mild restrictions. With the help of fuzzy inclusion relation, the new versions of the Hermite-Hadamard-type (HH-type) inequalities for up and down harmonically convex fuzzy-number-valued mappings are established. Then, we introduce a new version of Hermite-Hadamard Fejer-type inequality via fuzzy inclusion relation by using up and down harmonically convex fuzzy-number-valued mapping. Additionally, several instances are given to illustrate our main findings.
引用
收藏
页数：18
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