A Jensen type inequality for fuzzy integrals

被引：113
作者：
Roman-Flores, H.
Flores-Franulic, A.
Chalco-Cano, Y.
机构：
[1] Univ Tarapaca, Inst Alta Invest, Arica, Chile
[2] Univ Tarapaca, Dept Matemat, Arica, Chile
来源：
INFORMATION SCIENCES | 2007年 / 177卷 / 15期
关键词：
fuzzy measure; fuzzy integral; Jensen's inequality;
D O I：
10.1016/j.ins.2007.02.006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we show a Jensen type inequality for the Sugeno integral. We also discuss some conditions assuring the satisfaction of opposite inequality (reverse Jensen inequality). (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：3192 / 3201
页数：10
相关论文
共 20 条
[1]  
[Anonymous], 1988, Real analysis
[2]   Componentwise decomposition of some lattice-valued fuzzy integrals [J].
Ban, Adrian ;
Fechete, Ioan .
INFORMATION SCIENCES, 2007, 177 (06) :1430-1440
[3]   Infrared monitoring of the modification of styrene acrylonitrile copolymers with oxazoline and its interfacial reaction with acid-containing polymers [J].
Li, J ;
Prusty, M ;
Goossens, H ;
van Duin, M ;
de Wit, G .
MACROMOLECULAR SYMPOSIA, 2005, 230 :59-66
[4]   Lusin's theorem on fuzzy measure spaces [J].
Li, J ;
Yasuda, M .
FUZZY SETS AND SYSTEMS, 2004, 146 (01) :121-133
[5]   Modeling attitude to risk in human decision processes: An application of fuzzy measures [J].
Liginlal, Divakaran ;
Ow, Terence T. .
FUZZY SETS AND SYSTEMS, 2006, 157 (23) :3040-3054
[6]   Fuzzy random programming with equilibrium chance constraints [J].
Liu, YK ;
Liu, BD .
INFORMATION SCIENCES, 2005, 170 (2-4) :363-395
[7]   Regular fuzzy measure and representation of comonotonically additive functional [J].
Narukawa, Y ;
Murofushi, T ;
Sugeno, M .
FUZZY SETS AND SYSTEMS, 2000, 112 (02) :177-186
[8]  
PAP E, 1995, NULLADDITIVE SET FUN
[9]   THE FUZZY INTEGRAL [J].
RALESCU, D ;
ADAMS, G .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 75 (02) :562-570
[10]   Level-continuity of functions and applications [J].
Román-Flores, H ;
Rojas-Medar, M .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 38 (3-4) :143-149
12