A METRIC ON SPACE OF MEASURABLE FUNCTIONS AND THE RELATED CONVERGENCE

作者：Li Gang^*

来源：International Journal of Uncertainty Fuzziness and Knowledge-Based Systems, 2012, 20(2): 211-222.

DOI：10.1142/S0218488512500109

• Non-additive measure
• metric
• convergence
• Choquet integral
• subadditivity

A new metric is proposed on the space of measurable functions in the setting of nonadditive measure theory. The convergence induced from the metric can be used to describe the convergence in measure for sequences of measurable functions. Furthermore, the space of measurable functions is complete under the metric.

• 出版日期2012-4
• 单位齐鲁工业大学