JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2014, Vol. 44 ›› Issue (1): 63-68.doi: 10.6040/j.issn.1672-3961.0.2013.278

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Refining of the membership function in cross fuzzy entropy and its influence

HE Si-yan1, LI Peng2, LIU Cheng-yu2, WU Xue-qian2, CHEN Qi-jun3   

  1. 1. Department of Automation Engineering, Shandong College of Electronic Technology, Jinan 250200, China;
    2. School of Control Science and Engineering, Shandong University, Jinan 250061, China;
    3. School of Electronics and Information Engineering, Tongji University, Shanghai 201804, China
  • Received:2013-09-25 Online:2014-02-20 Published:2013-09-25


To further improve the statistical performances of cross fuzzy entropy (X-FuzzyEn) algorithm, an adjustable factor  λ  was introduced and a refined X-FuzzyEn method was developed accordingly. Its statistical stability and relative consistency was tested by coupled noise and coupled MIX(p) models. Then it was validated by the coupling analysis of heart rate and cardiac diastolic period series between heart failure patients and healthy subjects. Results indicated that the refined algorithm had significantly improved performances and it was capable to tell the differences between heart failure patients and healthy subjects.

Key words: physiological variability, cross fuzzy entropy, fuzzy membership function, heart rate, diastolic period

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