A generalization of the Chebyshev type inequalities for Sugeno integrals

被引：3
|
作者：
Agahi, Hamzeh [1 ,2 ]
Mohammadpour, Adel [1 ]
Vaezpour, S. Mansour [1 ]
机构：
[1] Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran Polytech, Tehran, Iran
[2] Stat Res & Training Ctr SRTC, Tehran, Iran
来源：
SOFT COMPUTING | 2012年 / 16卷 / 04期
关键词：
Nonadditive measure; Sugeno integral; Chebyshev's inequality; Minkowski's inequality; Holder's inequality;
D O I：
10.1007/s00500-011-0764-6
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we give a generalization of the Chebyshev type inequalities for Sugeno integral with respect to non-additive measures. The main results of this paper generalize most of the inequalities for Sugeno integral obtained by many researchers. Also, some conclusions are drawn and some problems for further investigations are given.
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页码：659 / 666
页数：8
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