On L-fuzzy integrals of measurable functions
It is shown that the L-fuzzy integral associated with an L-fuzzy measure \(\alpha\) (where L is a completely distributive complete lattice) when calculated for functions measurable with respect to a family of sets \({\mathbb{H}}\) depends only on the restriction of \(\alpha\) to \({\mathbb{H}}\). This result is used to obtain some semicontinuity properties of L-fuzzy integrals.
semicontinuity properties of L-fuzzy integrals
scientific article; zbMATH DE number 4012958