Finsler Metrics Induced by a Similarity Function

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Published: Apr 7, 2020
Keywords:
Finsler metrics; similarity function; weighted quasi-metrics

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Nisachon Kumankat*
Department of Mathematics, Faculty of Science, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, Thailand
Praiboon Pantaragphong
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

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:  [email protected]


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Article Details

Issue
Vol. 20 No. 2 (2020)
Section
Original Research Articles

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References

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