Similarity Measure and Fuzzy Entropy of Fuzzy Number Intuitionistic Fuzzy Sets

  • Juan Li
  • Qi Niu
  • Cheng-yi Zhang
Part of the Advances in Soft Computing book series (AINSC, volume 54)


Based on the similarity measure of trigonometric fuzzy numbers, similarity measures for measuring the degree of similarity between elements and between some fuzzy number intuitionistic fuzzy sets are defined by the one-to-one correspondence relation between the distance and similarity measure. At the same time, the fuzzy entropy for fuzzy number intuitionistic fuzzy sets is proposed. After that, their properties are discussed and an example about the application of similarity measure to pattern recognitions is given.


Trigonometric Fuzzy Number Fuzzy Number Intuitionistic Fuzzy Set Similarity Measure Fuzzy Entropy 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Juan Li
    • 1
  • Qi Niu
    • 2
  • Cheng-yi Zhang
    • 1
  1. 1.Department of MathematicsHainan Normal UniversityHaikouP.R. China
  2. 2.Department of MathematicsZhumadian Education CollegeZhumadianP.R. China

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