Determining Relative Density of Sands from CPT Using Fuzzy Measure Theory

  • T. Chi
  • E. Dembicki
Part of the International Centre for Mechanical Sciences book series (CISM, volume 397)


In this study, we develop a model based on fuzzy measure theory for aggregating some of the available correlations between relative density, Rd, and cone penetration test (CPT) data. In which, three interval numbers according to three empirical levels, low, medium, and high of compressibility measured by friction ratio of sands are selected. A degree of belief of these levels are determined based on “difference” measure of the given or actual compressibility and the numbers that represent the three predefined levels of compressibility. From that, the relative density Rd is determined based on the base correlations using fuzzy measures and fuzzy integral. Other method, for comparing purpose, using fuzzy set theory is presented also. Obtained results from different methods are compared each other.


Relative Density Fuzzy Number Triaxial Test Fuzzy Subset Interval Number 
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Copyright information

© Springer-Verlag Wien 1998

Authors and Affiliations

  • T. Chi
    • 1
  • E. Dembicki
    • 1
  1. 1.Technical University of GdanskGdanskPoland

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