Abstract
Theory of evidence can be used to model uncertainty in many applications. Representation of relationship between evidence and hypothesis space is to be defined in practical cases. The relationship is usually expressed by an evidential mapping. The evidential mapping is a sort of belief assignment discussed in many papers. The Dempster-Shafer theory is used for further exploration of the relation between mentioned spaces. In the paper the concept is followed, explored and exploited in order to solve selected practical problems. One of them is floating objects detection. Mappings can be extended to include fuzzy sets. The extension is presented and exploited for position fixing in maritime navigation.
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References
Denoeux, T.: Modelling Vague Beliefs using Fuzzy Valued Belief Structures. Fuzzy Sets and Systems 116, 167–199 (2000)
Filipowicz, W., Neumann, T.: Detection and Coverage Problem. Zeszyty Naukowe Akademii Morskiej 7, 10–18 (2008)
Filipowicz, W.: Belief Structures in Position Fixing. In: Mikulski, J. (ed.) Communications in Computer and Information Science 104, Transport Systems Telematics, pp. 434–446. Springer, Heidelberg (2010)
Filipowicz, W.: New Approach towards Position Fixing. Annual of Navigation 16, 41–54 (2010)
Filipowicz, W.: Belief Structures and their Application in Navigation. Methods of Applied Informatics 3, 53–82 (2009)
Jurdzinski, M.: Principles of Marine Navigation. WAM, Gdynia (2008)
Lee, E.S., Zhu, Q.: Fuzzy and Evidence Reasoning. Physica, Heidelberg (1995)
Liu, W., Hughes, J.G., McTear, M.F.: Representing Heuristic Knowledge and Propagating Beliefs in Dempster-Shafer Theory of Evidence. In: Federizzi, M., Kacprzyk, J., Yager, R.R. (eds.) Advances in the Dempster-Shafer Theory of Evidence, pp. 441–471. John Willey and Sons, Inc, New York (1992)
Liu, W., Hughes, J.G., McTear, M.F.: Representing Heuristic Knowledge in D-S Theory. In: UAI 1992 Proceedings of the Eighth Conference on Uncertainty in Artificial Intelligence. Morgan Kaufmann Publishers Inc., San Francisco (1992)
Rutkowski, L.: Methods and Techniques of the Artificial Intelligence. PWN, Warsaw (2009)
Yager, R.: On the Normalization of Fuzzy Belief Structures. International Journal of Approximate Reasoning 14, 127–153 (1996)
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Filipowicz, W. (2011). Evidence Representation and Reasoning in Selected Applications. In: Jędrzejowicz, P., Nguyen, N.T., Hoang, K. (eds) Computational Collective Intelligence. Technologies and Applications. ICCCI 2011. Lecture Notes in Computer Science(), vol 6923. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23938-0_26
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DOI: https://doi.org/10.1007/978-3-642-23938-0_26
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