Local R-norm entropy of partitions in relative probability measure spaces

In this work, we de ne the concepts of local R-norm entropy and local R-norm conditional entropy of partitions in relative probability measure spaces; and investigatethe basic properties of the suggested information measures. In particular, we prove chain rules for the notion of R-norm entropy in relative probability measure space; and study R-norm entropy and conditional R-norm entropy of partitions under the relation of re nment.