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Axioms 2018, 7(4), 94; https://doi.org/10.3390/axioms7040094

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
Received: 17 September 2018 / Revised: 2 December 2018 / Accepted: 12 December 2018 / Published: 14 December 2018
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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. 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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