Finsler Metrics Induced by a Similarity Function

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

How to Cite

Citation Format

Kumankat*, N. undefined. ., Pantaragphong, P. ., & Sabau, S. V. undefined. . (2020). Finsler Metrics Induced by a Similarity Function. CURRENT APPLIED SCIENCE AND TECHNOLOGY, 334-342.

References

Sabau, S.V., Shibuya, K. and Shimada, H., 2014. Metric structures associated to Finsler metrics. Publications Mathematicae Debrecen, 84 (1-2), 89-103.
Shanker, G. and Rani, S., 2018. Weighted quasi-metrics associated with Finsler metrics. [online]Available at : https://www.researchgate.net/publication/322567912_Weighted_quasi-metrics_associated_with_Finsler_metrics
Vitolo, P., 1999. The representation of weighted quasi-metric spaces. Rendiconti dell'Istituto di Matematica dell'Università di Trieste, 31, 95-100.
Stojmirovic, A., 2008. Quasi-metrics, Similarities and Searches: Aspects of Geometry of Protein Datasets. Ph.D. Victoria University of Wellington.
Stojmirovic, A., 2004. Quasi-metric space with measure. Topology Proceedings, 28 (2), 655-671.

Author Information

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

About this Article

Journal

Vol. 20 No. 2 (2020)

Type of Manuscript

Original Research Article

Keywords

Finsler metrics; similarity function; weighted quasi-metrics

Published

7 April 2020

Finsler Metrics Induced by a Similarity Function

Abstract

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

How to Cite

References

Author Information

Nisachon Kumankat*

Praiboon Pantaragphong

Sorin V. Sabau

About this Article

Journal

Type of Manuscript

Keywords

Published

Current Journal

Search

Latest Articles

Development of Seasoned Tilapia Fillet with Spicy Stir-fried Curry Paste Product

Physicochemical and Bacteriological Properties of Water from Owo Local Government Area, Nigeria

Formation of Type III Resistant Starch and Alterations in Starch Characteristics and Pasting Behavior of Arrowroot Starch by Autoclaving-Cooling Treatment

Use of Bio-activators in Goat Manure Fermentation and Effects of Solid Goat Manure-based Fertilizer on Growth and Yield of Sweet Corn