International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
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Calculation of Data Reliability with Entropy for Fuzzy Sets

  • Wang, Hongmei (School of Mechatronics, Changwon National University) ;
  • Lee, Sang-Hyuk (School of Mechatronics, Changwon National University)
  • Received : 2009.07.09
  • Accepted : 2009.10.25
  • Published : 2009.12.25
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Abstract

Measuring uncertainty for fuzzy sets has been carried out by calculating fuzzy entropy. Fuzzy entropy of fuzzy set is derived with the help of distance measure. The distance proportional value between the fuzzy set and the corresponding crisp set is designed as the fuzzy entropy. The usefulness is verified by proving the proposed entropy. Generally, fuzzy entropy contains the complementary characteristics that the fuzzy entropies of fuzzy set and complementary fuzzy set have the same entropies. Discrepancy that low fuzzy entropy did not guarantee the data certainty was overcome by modifying fuzzy entropy formulation. Obtained fuzzy entropy is analyzed and discussed through simple example.

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