A Chebyshev type inequality for fuzzy integrals

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 RR and f,g:[0,1]→[0,∞)f,g:[0,1]→[0,∞) are two continuous and strictly monotone functions, both increasing or both decreasing. Also, some examples and applications are presented.