A Metric for Finite Power Multisets of Positive Real Numbers Based on Minimal Matching

Abstract

In this article, we show how to define a metric on the finite power multisets of positive real numbers. The metric, based on the minimal matching, consists of two parts: the matched part and the mismatched part. We also give some concrete applications and examples to demonstrate the validity of this metric.

Keywords

• metric
• minimal matching
• positive multisets