articleMedical Engineering & PhysicsJun 5, 2008Closed access

Measuring complexity using FuzzyEn, ApEn, and SampEn

WCWeiting ChenJZJun ZhuangWYWangxin YuZWZhizhong Wang

East China Normal University · Shanghai Jiao Tong University

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Abstract

This paper compares three related measures of complexity, ApEn, SampEn, and FuzzyEn. Since vectors' similarity is defined on the basis of the hard and sensitive boundary of Heaviside function in ApEn and SampEn, the two families of statistics show high sensitivity to the parameter selection and may be invalid in case of small parameter. Importing the concept of fuzzy sets, we developed a new measure FuzzyEn, where vectors' similarity is defined by fuzzy similarity degree based on fuzzy membership functions and vectors' shapes. The soft and continuous boundaries of fuzzy functions ensure the continuity as well as the validity of FuzzyEn at small parameters. The more details obtained by fuzzy functions also make…

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Topics & keywords

Topics
Keywords
  • Approximate entropy
  • Sample entropy
  • Mathematics
  • Fuzzy logic
  • Entropy (arrow of time)
  • Similarity (geometry)
  • Pattern recognition (psychology)
  • Artificial intelligence
UN Sustainable Development Goals
  • Reduced inequalities
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