Inequalities of Holder and Minkowski type for pseudo-integrals with respect to interval-valued ⊕-measures

被引：8
|
作者：
Medic, Slavica [1 ]
Grbic, Tatjana [1 ]
Perovic, Aleksandar [2 ]
Nikolicic, Svetlana [1 ]
机构：
[1] Univ Novi Sad, Fac Tech Sci, Novi Sad 21000, Serbia
[2] Univ Belgrade, Fac Transport & Traff Engn, Belgrade 11001, Serbia
来源：
FUZZY SETS AND SYSTEMS | 2016年 / 304卷
关键词：
Pseudo-operations; Pseudo-integral; Interval-valued measure; Holder type inequality; Minkowski type inequality; FUZZY INTEGRALS;
D O I：
10.1016/j.fss.2015.11.014
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In the present paper, the Holder and Minkowski type of inequality for the pseudo-integral of a real-valued function with respect to the interval-valued pseudo-additive measure is proven. Two cases of semirings are considered. In the first case, pseudo-operations (pseudo-addition and pseudo-multiplication) are set by a strictly monotone continuous function. In the second case, the pseudo-addition is the idempotent operation sup, and pseudo-multiplication is specified by a strictly monotone continuous function, as in the first case. Trivial and nontrivial examples of interval-valued pseudo-additive measures are provided, as well as Holder and Minkowski type of inequalities with respect to those measures. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：110 / 130
页数：21
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