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Tytuł artykułu

Position fixing and its accuracy evaluation

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Języki publikacji
EN
Abstrakty
EN
In traditional approach to position fixing navigator exploits mathematical apparatus based on probability theory. Series of assumptions are required in order to use the platform to draw final conclusions. Limited ability is available regarding fix accuracy a posteriori evaluation. In the paper Mathematical Theory of Evidence is exploited in order to introduce new foundations enabling modeling and solving problems with uncertainty. Modified scheme of approach towards making the fix delivers new standpoint for perceiving accuracy of the result.
Słowa kluczowe
Rocznik
Strony
42--48
Opis fizyczny
Bibliogr. 28 poz., rys., tab.
Twórcy
  • Gdynia Maritime University, Department of Navigation, Faculty of Navigation 81-345 Gdynia, al. Jana Pawła II/3
Bibliografia
  • 1. DEMPSTER A.: A generalization of Bayesian inference. Journal of the Royal Statistical Society: Series B 30, 1968, 205–247.
  • 2. SHAFER G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton 1976.
  • 3. YEN J.: Generalizing the Dempster-Shafer theory to fuzzy sets. IEEE Transactions on Systems, Man and Cybernetics 20/3, 1990, 559–570.
  • 4. FILIPOWICZ W.: Mathematical Theory of Evidence in Maritime Traffic Engineering. Journal of KONES 15/3, 2008, 129–138.
  • 5. FILIPOWICZ W.: Uncertainty Management In Maritime Applications. Communications in Computer and Information Science J. Mikulski (ed.), Springer-Verlag, Berlin – Heidelberg 2011, 17–27.
  • 6. FILIPOWICZ W.: Application of Mathematical Theory of Evidence in Navigation. Marine Navigation and Safety of Sea Transportation, A. Weintrit (ed.), Gdynia 2009, 523– 531.
  • 7. FILIPOWICZ W.: Application of Theory of Evidence in Navigation. Knowledge Engineering and Export Systems, Academic Editorial Board EXIT, Warsaw 2009, 599–614.
  • 8. FILIPOWICZ W.: Belief Structures and their Application in Navigation. Methods of Applied Informatics, 3, Szczecin 2009, 53–83.
  • 9. FILIPOWICZ W.: Fuzzy Evidence in Terrestrial Navigation. Marine Navigation and Safety of Sea Transportation, A. Weintrit (ed.), CRC Press/Balkema, Leiden 2011, 65–73.
  • 10. MIZUMOTO M.: Extended Fuzzy Reasoning. Approximate Reasoning in Decision Analysis, North-Holland, New York 1985, 71–85.
  • 11. YAMADA K.: Uncertainty in Heuristic Knowledge and Reasoning. Management and Information Systems Science, Nagaoka University of Technology, 2004.
  • 12. FILIPOWICZ W.: On Navigational Situation Evaluation under Ambiguity and Partial Evidence. Annual of Navigation, vol. 15, Gdynia 2009, 25–33.
  • 13. FILIPOWICZ W., NEUMANN T.: (2008) Detection and Coverage Problems. Scientific Journals of Maritime University of Szczecin, 10–18.
  • 14. RUTKOWSKI L.: (2009) Methods and Techniques of Artificial Intelligence. Scientific Editors PWN, Warszawa
  • 15. LEE E., ZHU Q.: Fuzzy and Evidence Reasoning. Physica-Verlag, Heidelberg 1995.
  • 16. LIU W., HUGHES J., MCTEAR F.: Representing Heuristic Knowledge in D-S Theory. In: UAI’92 Proceedings of the eighth conference on Uncertainty in Artificial Intelligence. Morgan Kaufmann Publishers Inc. San Francisco 1992.
  • 17. YAGER R.: Reasoning with conjunctive knowledge. Fuzzy Sets and Systems 28, 1988, 69–83.
  • 18. FILIPOWICZ W.: New Approach towards Position Fixing. Annual of Navigation, Vol. 16, 2010, 41–54.
  • 19. FILIPOWICZ W.: Evidence Representation and Reasoning In Selected Applications. P. Jędrzejowicz, Ngoc Thanh Nguyen, Kiem Hoang (eds.), Lecture Notes in Artificial Intelligence, Springer-Verlag Berlin – Heidelberg 2011, 251–260.
  • 20. GÓRSKI S. et. al.: Evaluation of Accuracy while Conducting Navigation. WSM, Gdynia 1990.
  • 21. GUCMA S.: Principles of Theory of Lines of Position and Accuracy in Maritime Navigation. WSM, Szczecin 1995.
  • 22. JURDZIŃSKI M.: Principles of Maritime Navigation. Scientific Editor of Gdynia Maritime University, Gdynia 2008.
  • 23. FILIPOWICZ W.: Fuzzy Reasoning Algorithms for Position Fixing. Measurements, Automation and Control 12, 2010, 1491–1495.
  • 24. PIEGAT A.: Fuzzy Modeling and Control. Academic Editorial Board EXIT, Warszawa 2003.
  • 25. DENOEUX T.: Allowing Imprecision in Belief Representation Using Fuzzy-valued Belief Structures. Proceedings of Information Processing and Management of Uncertainty, Paris 1998, 28–55.
  • 26. DENOEUX T.: Reasoning with imprecise belief structures. Technical Report 97/44, Heudiasyc, Universite de Technologie de Compiegne, 1997.
  • 27. DENOEUX T.: Modeling vague beliefs using fuzzy valued belief structures. Fuzzy Sets and Systems 116, 2000, 167–199.
  • 28. FILIPOWICZ W.: On Normalization of Belief Structures. Communications in Computer and Information Science 104, 2010, 434–447.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-97184824-2e29-4171-9fe2-4da9f0ea1501
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