Fuzzy Evidence in Terrestrial Navigation

• Autorzy: Filipowicz W.
• Języki publikacji: EN

Abstrakty

EN

Measurements taken in terrestrial navigation are random values. Mean errors are within certain ranges what means imprecision in their estimation. Measurements taken to different landmarks can be subjec-tively diversified. Measurements errors affect isolines deflections. The type of the relation: observation error – line of position deflection, depends on isolines gradients. All the mentioned factors contribute to an overall evidence to be considered once vessel’s position is being fixed. Traditional approach is limited in its ability of considering mentioned factors while making a fix. In order to include evidence into a calculation scheme one has to engage new ideas and methods. Mathematical Theory of Evidence extended for fuzzy environment proved to be universal platform for wide variety of new solutions in navigation.

Słowa kluczowe

EN

terrestrial navigation; Fuzzy Evidence; positioning system; mathematical theory of evidence; position fixing; Dempster Transformation

• Wydawca: Faculty of Navigation, Gdynia Maritime University
• Czasopismo: TransNav : International Journal on Marine Navigation and Safety of Sea Transportation
• Rocznik: 2011
• Tom: Vol. 5, no. 2
• Strony: 225--232
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Filipowicz W.

• Gdynia Maritime University, Poland

Bibliografia

• [1] Denoeux, T. 2000. Modelling vague beliefs using fuzzy valued belief structures. Fuzzy Sets and Systems 116: 167-199.
• [2] Filipowicz, W. 2009a. Belief Structures and Their Application in Navigation. Methods of Applied Informatics 3: 53-83. Szczecin: Polska Akademia Nauk Komisja Informatyki.
• [3] Filipowicz, W. 2009b. Mathematical Theory of Evidence and its Application in Navigation. In Adam Grzech (eds.) Knowledge Engineering and Expert Systems: 599-614. Warszawa: Exit.
• [4] Filipowicz, W. 2009c. An Application of Mathematical Theory of Evidence in Navigation. In Adam Weintrit (ed.) Marine Navigation and Safety of Sea Transportation: 523-531. Rot-terdam: Balkema.
• [5] Filipowicz, W. 2010a. Fuzzy Reasoning Algorithms for Posi-tion Fixing, Pomiary Automatyka Kontrola 56. Warszawa (in printing).
• [6] Filipowicz, W. 2010b. Belief Structures in Position Fixing. In Jerzy Mikulski (ed.) Communications in Computer and In-formation Science 104: 434-446. Berlin. Heidelberg: Springer.
• [7] Filipowicz, W. 2010c. New Approach towards Position Fixing. Annual of Navigation 16: 41-54
• [8] Gucma, S. 1995. Foundations of Line of Position Theory and Accuracy in Marine Navigation. Szczecin: WSM.
• [9] Jurdzinski, M. 2005. Foundations of Marine Navigation. Gdynia: Gdynia Maritime University.
• [10] Piegat, A. 2003. Fuzzy Modelling and Control. Warszawa: EX-IT.
• [11] Yager, R. 1996. On the Normalization of Fuzzy Belief Struc-ture. International Journal of Approximate Reasoning. 14: 127-153.
• [12] Yen, J. 1990. Generalizing the Dempster-Shafer theory to fuzzy sets. IEEE Transactions on Systems, Man and Cybernetics. 20(3): 559-570.