Probabilistic-Fuzzy Method of Ship Manoeuvre Safety Assessment in a Restricted Area

  • Zbigniew Pietrzykowski
Conference paper
Part of the Advances in Soft Computing book series (AINSC, volume 19)


A probabilistic-fuzzy method for determining a navigational safety indicator relating to a ship manoeuvring in a fairway is presented. The notion of fuzzy event probability has been used. Navigational accident threat has been defined as a fuzzy event. On the basis of the probabilistic risk analysis and elements of fuzzy logic the traditional approach takes into account both safety failure and uncertainty associated with the threat estimation. The probability is determined by two different approaches. The calculation results are presented.


Membership Function Restricted Area Dangerous Situation Port Side Fuzzy Event 
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  1. [1]
    Driankov, D., Hellendorn, H., Reinfrank, M. (1993) An Introduction to Fuzzy Control. Springer, BerlinMATHCrossRefGoogle Scholar
  2. [2]
    Gucma, L., Pietrzykowski, Z. (2001) Probabilistic-fuzzy method of ship manoeuvre risk assessment. Safety and Reliability International Conference KONBIN, Szczyrk, Vol. 3: 107–116Google Scholar
  3. [3]
    Iribarren, J.R. (1999) Determining the horizontal Dimensions of Ship Manoeuvring Areas. PIANC Bulletin No 100, Bruxelles, pp 5–25Google Scholar
  4. [4]
    James, C. (1986) Modelling the Decision Process in Computer Simulation of Ship Navigation. The Journal of Navigation Vol. 39: 32–48CrossRefGoogle Scholar
  5. [5]
    Kacprzyk J. (1986) Fuzzy sets in systems analysis. PWN, Warszawa (In Polish)Google Scholar
  6. [6]
    Ronnnelfanger, H. (1994) Fuzzy Decision Support Systems, Springer, Berlin (In German)Google Scholar
  7. [7]
    Pietrzykowski, Z., Gucma, L. (2001) Theoretical foundations of the probabilistic-fuzzy method for assessment of dangerous situation of a ship manoeuvring in a restricted area. Annual of Navigation No 3/2001, Gdynia, pp 111–125Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Zbigniew Pietrzykowski
    • 1
  1. 1.Maritime University of SzczecinSzczecinPoland

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