A convolution type inequality for fuzzy integrals

摘要

In this paper we show a Bushell–Okrasinski type inequality for fuzzy integrals. More precisely, we show that:⨍⨍s⨍01(1-t)s-1g(t)sdt⩾⨍01g(t)dts, where g:[0,1]→[0,∞) is a continuous and strictly decreasing function and s ⩾ 2.