بیاض دارابی

In this paper, we have proved Diaz-Metcalf inequality for fuzzy integrals. More precisely: If f, g : [0, 1] → R are continuous and strictly increasing functions, then the fuzzy integral inequality − ∫ 1 0 f s dµ · −∫ 1 0 g s dµ ≤ −∫ 1 0 (f · g) s dµ, holds, where s > 1 and µ is the Lebesgue measure on R. In addition, we have shown this inequality for pseudo-integrals