Fuzzy Modeling of Sparse Data

  • Angelo Marcello Anile
  • Salvatore Spinella
Conference paper


In this article we apply fuzzy bspline reconstruction supplemented by fuzzy kriging to the problem of constructing a smooth deterministic model for environmental pollution data. A method to interrogate the model will also be discussed and applied.


Uncertain Fuzzy Number Fuzzy Interpolation Fuzzy Queries Fuzzy Kriging B-spline Sparse Data Environment Pollution 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [Anile et al. 1995]
    A. M. Anile, S. Deodato, G. Privitera, Implementing Fuzzy Arithmetic, Fuzzy Sets and Systems, 72, p.239, 1995.CrossRefGoogle Scholar
  2. [Anile 2000]
    A. M. Anile, B. Falcidieno, G. Gallo, M. Spagnuolo, S. Spinello, Modeling uncertain data with fuzzy B-spline, Fuzzy Sets and System 113 (2000) 397–410.Google Scholar
  3. [Anile and Spinella 2004]
    A. M. Anile, S. Spinella, Modeling Uncertain Sparse Data with Fuzzy B-spline, accepted for publication on Reliable Computing.Google Scholar
  4. [DeBoor 1972]
    C. DeBoor, On Calculating with B-splines J. Approx. Theory 6 (1972) 50–62.Google Scholar
  5. [Diamond 1989]
    P. Diamond, Fuzzy Kriging, Fuzzy Sets and Systems, 33 (1989) 315–332.CrossRefGoogle Scholar
  6. [Fletcher 1987]
    R. Fletcher, Pratical Methods of Optimization, Wiley, 1987.Google Scholar
  7. [Gallo et al. 1999]
    G. Gallo, I. Perfilieva, M. Spagnuolo, S. Spinello, Geographical Data Analysis via Mountain Function International Journal of Intelligent Systems, 14, p.359–373, 1999.Google Scholar
  8. [Kauffman and Gupta 1991]
    A. Kauffman and M. M. Gupta, Introduction to Fuzzy Arithmetic: Theory and Applications, Van Nostrand Reihnold, New York, 1991.Google Scholar
  9. [Lodwick and Santos 2002]
    W. A. Lodwick and Jorge Santos, Constructing Consistent Fuzzy Surface From Fuzzy Data, Fuzzy Sets and Systems, 135 p. 259–277, 2002.Google Scholar
  10. [Patrikalakis et al 1995]
    N. M. Patrikalakis, C. Chryssostomidis, S. T. Tuohy, J. G. Bellingham, J. J. Leonard, J. W. Bales, B. A. Moran, J. W. Yoon, virtual environment for ocean exploration and visualization, Proc. Computer Graphics Technology for Exploration of the Sea, CES’95, Rostock, May 1995.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Angelo Marcello Anile
    • 1
  • Salvatore Spinella
    • 2
  1. 1.Dipartimento di Matematica ed InformaticaUniversità di CataniaCataniaItaly
  2. 2.Dipartimento di LinguisticaUniversità della CalabriaArcavacata di RendeItaly

Personalised recommendations