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

School of Mathematics and Statistics, Baise University, No.21 Zhongshan Road, Baise 533000, Guangxi, China
Axioms 2018, 7(4), 94;
Received: 17 September 2018 / Revised: 2 December 2018 / Accepted: 12 December 2018 / Published: 14 December 2018
PDF [806 KB, uploaded 14 December 2018]


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. View Full-Text
Keywords: metric; minimal matching; positive multisets metric; minimal matching; positive multisets

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Chen, R.-M. A Metric for Finite Power Multisets of Positive Real Numbers Based on Minimal Matching. Axioms 2018, 7, 94.

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