Gauss-type integral inequalities for interval and fuzzy-interval-valued functions

被引：12
|
作者：
Costa, T. M. [1 ]
Silva, G. N. [2 ]
Chalco-Cano, Y. [4 ]
Roman-Flores, H. [3 ]
机构：
[1] Univ Fed Para, Inst Ciencias Exatas & Nat, Belem, Para, Brazil
[2] Univ Estadual Paulista, Dept Matemat Aplicada, Sao Jose Do Rio Preto, SP, Brazil
[3] Univ Tarapaca, Inst Alta Invest, Casilla 7D, Arica, Chile
[4] Univ Tarapaca, Dept Matemat, Casilla 7D, Arica, Chile
来源：
COMPUTATIONAL & APPLIED MATHEMATICS | 2019年 / 38卷 / 02期
基金：
巴西圣保罗研究基金会;
关键词：
Gauss' inequality; Interval-valued functions; Fuzzy-interval-valued functions; HARDY-TYPE INEQUALITY;
D O I：
10.1007/s40314-019-0836-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This study presents new Gauss's inequalities for interval and fuzzy-interval-valued functions using the Aumann's and Kaleva's improper integrals. The inequality for interval-valued functions is based on the Kulisch-Miranker order relation. The order relation given in the fuzzy-interval space is defined level-wise through the Kulisch-Miranker order, and by means of this the inequality for fuzzy-interval-valued functions is interpreted.
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收藏
页数：13
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