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International Conference on Belief Functions

BELIEF 2014: Belief Functions: Theory and Applications pp 199–208Cite as

Mathematical Theory of Evidence in Navigation

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8764))

Abstract

Mathematical Theory of Evidence (MTE), also known as Belief Theory, exploits belief and plausibility measures and operates on belief assignments and belief structures. The theory also offers combination mechanisms in order to increase the informative context of the initial evidence. The evidence is meant as a collection of facts and knowledge. In navigation, facts are position indications delivered by various aids, and also results of observations such as taking bearings, distances or horizontal angles. Those facts are random variables governed by various distributions. Nautical knowledge embraces features of such distributions as well as discrepancies in their estimations. Awareness of systematic errors is also a part of a seafarer’s knowledge. Whichever the conditions MTE combination scheme is expected to enable position fixing of the ship.

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Author information

Authors and Affiliations

  1. Gdynia Maritime University, ul. Morska 81/83, 81-225, Gdynia, Poland

    Włodzimierz Filipowicz

Authors
  1. Włodzimierz Filipowicz
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Editor information

Editors and Affiliations

  1. Department of Computing and Communications Technologies, Oxford Brookes University, Wheatley Campus, OX33 1HX, Oxford, UK

    Fabio Cuzzolin

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© 2014 Springer International Publishing Switzerland

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Filipowicz, W. (2014). Mathematical Theory of Evidence in Navigation. In: Cuzzolin, F. (eds) Belief Functions: Theory and Applications. BELIEF 2014. Lecture Notes in Computer Science(), vol 8764. Springer, Cham. https://doi.org/10.1007/978-3-319-11191-9_22

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  • DOI: https://doi.org/10.1007/978-3-319-11191-9_22

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11190-2

  • Online ISBN: 978-3-319-11191-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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