A Chebyshev type inequality for fuzzy integrals

被引：104

作者：

Flores-Franulic, A. ^{[1
]}

Roman-Flores, H. ^{[1
]}

机构：

[1] Univ Tarapaca, Inst Alta Invest, Arica, Chile

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 02期

关键词：

fuzzy measure; sugeno integral; monotone functions;

D O I：

10.1016/j.amc.2007.02.143

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove a Chebyshev type inequality for fuzzy integrals. More precisely, we show that: [GRAPHICS] where mu is the Lebesgue measure on R and f, g : [0, 1] -> [0, infinity) are two continuous and strictly monotone functions, both increasing or both decreasing. Also, some examples and applications are presented. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：1178 / 1184

页数：7

共 11 条

[1]

Gauchman H., 2003, J INEQUAL PURE APPL, V4

[2] THE FUZZY INTEGRAL [J].