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The Direction Entropies for Intuitionistic Fuzzy Sets

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Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 54))

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Abstract

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.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Hainan Normal University, Haikou, Hainan, 571158, P.R. China

    Qin-peng Cai, Juan Li & Cheng-yi Zhang

Authors
  1. Qin-peng Cai
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  2. Juan Li
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  3. Cheng-yi Zhang
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Editor information

Editors and Affiliations

  1. Guangzhou Higher Education Mega Center, Guangzhou University, 230Wai Huan Xi Road, 510006, China

    Bing-yuan Cao

  2. Department of Mathematics, Hainan Normal University, Haikou, 571158, Hainan, P.R. China

    Cheng-yi Zhang

  3. Department of Electronic Information Engineering, Chongqing University of Science & Technology, 401331, Chongqing

    Tai-fu Li

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© 2009 Springer-Verlag Berlin Heidelberg

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Cai, Qp., Li, J., Zhang, Cy. (2009). The Direction Entropies for Intuitionistic Fuzzy Sets. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_46

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  • DOI: https://doi.org/10.1007/978-3-540-88914-4_46

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88913-7

  • Online ISBN: 978-3-540-88914-4

  • eBook Packages: EngineeringEngineering (R0)

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