Fatou's lemma for Sugeno integral

被引：5
作者：
Agahi, Hamzeh [2 ,4 ]
Flores-Franulic, A. [1 ]
Vaezpour, S. Mansour [3 ]
机构：
[1] Univ Tarapaca, Inst Alta Invest, Arica, Chile
[2] Amirkabir Univ Technol, Dept Stat, Fac Math & Comp Sci, Tehran 15914, Iran
[3] Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran 15914, Iran
[4] Stat Res & Training Ctr, Tehran, Iran
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 13期
关键词：
Sugeno integral; Non-additive measure; Monotone function; Fatou's lemma; Applied statistics; FUZZY MEASURES; INEQUALITY; CONTINUITY; FUSION;
D O I：
10.1016/j.amc.2010.12.079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Fatou's lemma plays an important role in classical probability and measure theory. Nonadditive measure is a generalization of additive probability measure. Sugeno's integral is a useful tool in several theoretical and applied statistics which have been built on nonadditive measure. In this paper, a Fatou-type lemma for Sugeno integral is shown. The studied inequality is based on the classical Fatou lemma for Lebesgue integral. To illustrate the proposed inequalities some examples are given. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：6092 / 6096
页数：5
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