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Finsler Metrics Induced by a Similarity Function

Finsler Metrics Induced by a Similarity Function

Apr 7, 2020Vol. 20 No. 2 (2020)

Abstract

In the present paper, the geometrical properties of a topological space endowed with a similarity was studied. Its relation with weighted quasi-metrics and Finsler metrics of Randers type was discussed. Finally, some applications to bioinformatics and computer science by relating similarities to dynamic programming algorithms are considered. In conclusion, the space containing the real-world data is non-symmetric and non-linear.

 

Keywords:  Finsler metrics; similarity function; weighted quasi-metrics

*Corresponding author: Tel.:  +66 91 8517097

                                             E-mail:  Nisachon.Kumankat@gmail.com

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References

Author Information

Sorin V. Sabau

Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand

Sorin V. Sabau

Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand

Sorin V. Sabau

School of Biological Science, Department of Biology, Tokai University, Sapporo, Japan

About this Article

Journal

Vol. 20 No. 2 (2020)

Keywords

Finsler metrics; similarity function; weighted quasi-metrics

Published

7 April 2020

Current Journal

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Vol. 20 No. 2 (2020)

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