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A Fuzzy Model of Heavy Metal Loadings in Marine Environment

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Book cover Soft Computing for Risk Evaluation and Management

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 76))

Abstract

We design a fuzzy model of the loadings of heavy metals for two coastal areas of the Irish Sea (Liverpool Bay and Morecambe Bay). Each metal concentration is associated with a fuzzy set “contami­nated” , defined over a set of sampling sites (70 in Liverpool Bay and 203 in Morecambe Bay). The higher the concentration, the higher the degree of membership of the site. Six overall loading indices are cal­culated using aggregation connectives between fuzzy sets. The loading indices are then interpolated and plotted on a map. A visual inspection shows that: (i) product aggregation is most indicative for the locations of the disposal grounds; (ii) mean aggregation reflects well the sediment movement in the bay; (iii) maximum aggregation indicates all highly contaminated sites. The proposed fuzzy model is easy to implement and the results are directly interpretable.

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References

  1. T.C. Bailey. A review of statistical spatial analysis in geographical information systems. In A.S. Fotheringham and P.A. Rogerson, editors, Spatial analysis and GIS, pages 13–44. Taylor & Francis, London, 1994.

    Google Scholar 

  2. J.C. Bezdek and L.I. Kuncheva. Fuzzy pattern recognition. In J.G. Webster, editor, Wiley Encyclopedia of Electrical and Electronics Engineering, pages 173–181. John Wiley and Sons, Inc., Publishers, 1999.

    Google Scholar 

  3. I. Bloch. Information combination operators for data fusion: a comparative review with classification. IEEE Transactions on Systems, Man, and Cybernetics–Part A: Systems and Humans, 26: 52–67, 1996.

    Article  Google Scholar 

  4. V.F. Camacho-Ibar.Trace elements and polychlorinated biphenyls (PCB) congeners in Liverpool bay sediments. PhD thesis, University of Wales, Bangor, 1991.

    Google Scholar 

  5. V.F. Camacho-Ibar, J.J. Wrench, and P.C. Head. Contrasting behaviour of arsenic and mercury in liverpool bay sediments. Estuarine, Coastal and Shelf Science, 41 (3): 241–263, 1992.

    Google Scholar 

  6. D. Dubois and H. Prade. A review of fuzzy set aggregation connectives. Information Sciences, 36: 85–121, 1985.

    Article  Google Scholar 

  7. D. Dubois and H. Prade. The three semantics of fuzzy sets. Fuzzy Sets and Systems, 90: 141–150, 1997.

    Article  Google Scholar 

  8. R.O. Duda and P.E. Hart. Pattern Classification and Scene Analysis. John Wiley & Sons, NY, 1973.

    Google Scholar 

  9. A.S. Fotheringham and P.A. Rogerson, editors. Spatial Analysis and GIS. Taylor & Francis, London, 1994.

    Google Scholar 

  10. M. Grabisch. A new algorithm for identifying fuzzy measures and its application to pattern recognition. In Proc. FUZZ/IEEE’95, pages 145150, Yokohama, Japan, 1995.

    Google Scholar 

  11. M. Grabisch. On equivalence classes of fuzzy connectives–the case of fuzzy integrals. IEEE Transactions on Fuzzy Systems, 3 (1): 96–109, 1995.

    Article  Google Scholar 

  12. J.A. Markus and A.B. McBratney. An urban soil study: Heavy metals in Glebe, Australia. Australian Journal of Soil Research, 34: 453–465, 1996.

    Article  Google Scholar 

  13. R.R Yager and D.P. Filev. Essentials of Fuzzy Modeling and Control. John Wiley & Sons, N.Y., 1994.

    Google Scholar 

  14. L.A. Zadeh. Fuzzy sets. Information and Control, 8: 338–353, 1965.

    Google Scholar 

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© 2001 Physica-Verlag Heidelberg

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Kuncheva, L.I., Wrench, J., Jain, L.C., Al-Zaidan, A. (2001). A Fuzzy Model of Heavy Metal Loadings in Marine Environment. In: Ruan, D., Kacprzyk, J., Fedrizzi, M. (eds) Soft Computing for Risk Evaluation and Management. Studies in Fuzziness and Soft Computing, vol 76. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1814-7_18

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  • DOI: https://doi.org/10.1007/978-3-7908-1814-7_18

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-662-00348-0

  • Online ISBN: 978-3-7908-1814-7

  • eBook Packages: Springer Book Archive

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