Mathematical Theory of Evidence in Navigation

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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