Generalized level measure based on a family of conditional aggregation operators

Extending the concept of level measure μ({f⩾a}) we introduce a generalized based on family conditional aggregations operators. As recent research direction, aggregation operators extend in order to model dependence function set. Generalized measures then provide new insight into behaviour level-dependent (monotone) and related processes. We investigate detail several basic properties measure, including connections with measures, extension survival μ({f>a}) transformation monotone hyperset. Applications scientometrics information science are described.