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Representation of Rough Sets Based on Intuitionistic Fuzzy Special Sets

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Foundations of Fuzzy Logic and Soft Computing (IFSA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4529))

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Abstract

Intuitionistic fuzzy special sets is a special case of intuitionistic fuzzy sets. In this paper, under the framework of information systems, the relationship between intuitionistic fuzzy special sets and rough sets is analyzed. Based on basic intuitionistic fuzzy special sets of information systems, intuitionistic fuzzy special σ-algebra are generated, and rough sets are embedded in the intuitionistic fuzzy special σ-algebra. Naturally, distances (e.g., Hamming distance or Euclidean distance) of intuitionistic fuzzy special sets in intuitionistic fuzzy special σ-algebra can be used to evaluate predication rules of information systems which is an important subject of rough set theory.

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Author information

Authors and Affiliations

  1. School of Mathematics & Computer, Xihua University, Chengdu, Sichuan, 610039, China

    Zheng Pei, Li Zhang & Honghua Chen

Authors
  1. Zheng Pei
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  2. Li Zhang
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  3. Honghua Chen
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Editor information

Patricia Melin Oscar Castillo Luis T. Aguilar Janusz Kacprzyk Witold Pedrycz

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© 2007 Springer Berlin Heidelberg

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Pei, Z., Zhang, L., Chen, H. (2007). Representation of Rough Sets Based on Intuitionistic Fuzzy Special Sets. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_12

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  • DOI: https://doi.org/10.1007/978-3-540-72950-1_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72917-4

  • Online ISBN: 978-3-540-72950-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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