A METRIC ON SPACE OF MEASURABLE FUNCTIONS AND THE RELATED CONVERGENCE-Reference-Cited by-同舟云学术

A METRIC ON SPACE OF MEASURABLE FUNCTIONS AND THE RELATED CONVERGENCE

Published:2012-04 Issue:02 Volume:20 Page:211-222
ISSN:0218-4885
Container-title:International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
language:en
Short-container-title:Int. J. Unc. Fuzz. Knowl. Based Syst.

Author:

LI GANG¹

Affiliation:

1. School of Mathematics and Physical Sciences, Shandong Institute of Light Industry, Ji'nan, Shandong 250353, P. R. China

Abstract

A new metric is proposed on the space of measurable functions in the setting of non-additive 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Artificial Intelligence,Information Systems,Control and Systems Engineering,Software

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218488512500109

Reference20 articles.

1. Infinite Dimensional Analysis

2. Theory of capacities

3. Non-Additive Measure and Integral

4. The relationships between choquet integral, pan-integral, upper integral and lower integral

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