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Similarity Measure and Fuzzy Entropy of Fuzzy Number Intuitionistic Fuzzy Sets

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Fuzzy Information and Engineering

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

Abstract

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.

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Author information

Authors and Affiliations

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

    Juan Li & Cheng-yi Zhang

  2. Department of Mathematics, Zhumadian Education College, Zhumadian, Henan, 463000, P.R. China

    Qi Niu

Authors
  1. Juan Li
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  2. Qi Niu
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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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Li, J., Niu, Q., Zhang, Cy. (2009). Similarity Measure and Fuzzy Entropy of Fuzzy Number 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_47

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  • DOI: https://doi.org/10.1007/978-3-540-88914-4_47

  • 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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