The Direction Entropies for Intuitionistic Fuzzy Sets

  • Qin-peng Cai
  • Juan Li
  • Cheng-yi Zhang
Conference paper
Part of the Advances in Soft Computing book series (AINSC, volume 54)


Fuzzy positive entropy, fuzzy negative entropy and fuzzy entropy for intuitionistic fuzzy sets in [12] are studied. We discover that there is a contradiction between the definitions and the entropy theory defined by Szmidt in [8]. After that, new concepts of fuzzy positive entropy , fuzzy negative entropy and fuzzy entropy for intuitionistic fuzzy sets are proposed by Shannons function. Finally, their properties are discussed. The results show that the properties of our entropy is more weak than Szmidts, but it is useful to distinguish two different intuitionistic fuzzy sets.


Intuitionistic fuzzy sets Fuzzy positive entropy Fuzzy negative entropy Fuzzy direction entropy 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Qin-peng Cai
    • 1
  • Juan Li
    • 1
  • Cheng-yi Zhang
    • 1
  1. 1.Department of MathematicsHainan Normal UniversityHaikouP.R. China

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