A convolution type inequality for fuzzy integrals

作者：Roman Flores H^*; Flores Franulic A; Chalco Cano Y

来源：Applied Mathematics and Computation, 2008, 195(1): 94-99.

DOI：10.1016/j.amc.2007.04.072

• fuzzy measure
• Sugeno integral
• monotone functions

In this paper we show a Bushell-Okrasinski type inequality for fuzzy integrals. More precisely, we show that:
sf(0)(1) (1 - t)(s-1) g(t)(s) dt >= (f(0)(1) g(t)dt)(s),
where g : [0, 1] -> [0, infinity) is a continuous and strictly decreasing function and s >= 2.

• 出版日期2008-1-15