On the Jensen type inequality for generalized Sugeno integral

被引：23
|
作者：
Kaluszka, Marek [1 ]
Okolewski, Andrzej [1 ]
Boczek, Michal [1 ]
机构：
[1] Lodz Univ Technol, Inst Math, PL-90924 Lodz, Poland
来源：
INFORMATION SCIENCES | 2014年 / 266卷
关键词：
Sugeno integral; Fuzzy measure; Jensen inequality; CHEBYSHEV TYPE INEQUALITIES; LIAPUNOV-TYPE INEQUALITY; FUZZY INTEGRALS; CONTINUITY;
D O I：
10.1016/j.ins.2014.01.004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We prove necessary and sufficient conditions for the validity of Jensen type inequalities for generalized Sugeno integral. Our proofs make no appeal to the continuity of neither the fuzzy measure nor the operators. For several choices of operators, we characterize the classes of functions for which the corresponding inequalities are satisfied. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：140 / 147
页数：8
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