A Chebyshev type inequality for fuzzy integrals

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摘要

In this paper, we prove a Chebyshev type inequality for fuzzy integrals. More precisely, we show that:⨍01fgdμ⩾⨍01fdμ⨍01gdμ,⨍⨍⨍where μ is the Lebesgue measure on R and f,g:[0,1]→[0,∞) are two continuous and strictly monotone functions, both increasing or both decreasing. Also, some examples and applications are presented.

论文关键词:Fuzzy measure,Sugeno integral,Monotone functions

论文评审过程:Available online 6 March 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.02.143

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