A note on fuzzy integral inequality of Stolarsky type

摘要

In this paper, we prove a Stolarsky type inequality for fuzzy integrals. More precisely, we show that:⨍⨍⨍⨍01fx1a+bdμ⩾⨍01fx1adμ⨍01fx1bdμ,where a, b > 0, f : [0, 1] → [0, 1] is a continuous and strictly monotone function and μ is the Lebesgue measure on R.