Chebyshev inequality for Sugeno integrals

被引：24
|
作者：
Caballero, J. [1 ]
Sadarangani, K. [1 ]
机构：
[1] Univ Las Palmas Gran Canaria, Dept Matemat, Las Palmas Gran Canaria 35017, Spain
来源：
FUZZY SETS AND SYSTEMS | 2010年 / 161卷 / 10期
关键词：
Chebyshev inequality; Sugeno integral; Comonotone functions; FUZZY; CONTINUITY;
D O I：
10.1016/j.fss.2009.12.006
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper we study Chebyshev inequality for Sugeno integrals on an arbitrary fuzzy measure space. Particularly, we obtain other Chebyshev type inequalities which relate the measure of a level set of the maximum and the sum of two non-negative integrable functions and their integrals. Finally, we apply our results to the case of comonotone functions. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：1480 / 1487
页数：8
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