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Fuzzy Evidence Reasoning and Navigational Position Fixing

  • Włodzimierz Filipowicz
Chapter
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 234)

Abstract

In the traditional approach to position fixing, the navigator exploits available uncertain measurements and various system indications. Thanks to his nautical knowledge, the position is fixed and evaluated. The final results are rather intuitive than proven by limited data processing. Mathematical apparatus based on probability theory and series of assumptions is not flexible enough to include knowledge and ignorance into a position fixing calculation scheme. Limited ability is available regarding the fix accuracy evaluation. In the chapter Mathematical Theory of Evidence (MTE) is exploited in order to extend foundations for implementation of new approaches. The theory, extended for the fuzzy environment, creates new opportunities enabling modelling and the solving of problems with uncertainty. The concept of using a new basis in nautical science, for position fixing in particular, was presented by the author in his previous publications. Herein, a comprehensive introduction to the platform is presented, evidence assignment transformation is depicted within the context of solving the position fixing problem.

Keywords

Evidence Representation Belief Structures Normalization  Navigation 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Faculty of NavigationGdynia Maritime UniversityGdyniaPoland

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