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Intuitionistic Fuzzy Rough Set Based on the Cut Sets of Intuitionistic Fuzzy Set

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Fuzzy Information and Engineering and Decision (IWDS 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 646))

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Abstract

In this paper, the triple valued fuzzy set is selected as the cut set of intuitionistic fuzzy set and four kinds of cut sets of intuitionistic fuzzy sets are selected to investigate the intuitionistic fuzzy rough set. The intuitionistic fuzzy rough set is constructed by using the representation theorem of intuitionistic fuzzy set, and it is proved to be equivalent to the original intuitionistic fuzzy rough set. These works give a new perspective on intuitionistic fuzzy rough sets, which promotes the further research and development of the theory of intuitionistic fuzzy sets and rough sets.

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Acknowledgements

Thanks to the support by School of Mathematics and Physics Science of Dalian University of Technology at Panjin.

Recommender: 2016 International workshop on Mathematics and Decision Science, Dr. Hadi Nasseri of University of Mazandaran in Iran.

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Authors and Affiliations

  1. School of Mathematical and Physical Science, Dalian University of Technology at Panjin, Panjin, 124221, Liaoning, China

    Le-tao Wu & Xue-hai Yuan

Authors
  1. Le-tao Wu
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  2. Xue-hai Yuan
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Correspondence to Le-tao Wu .

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Editors and Affiliations

  1. Guangzhou Vocational College of Science and Technology, Guangzhou, China

    Bing-Yuan Cao

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Wu, Lt., Yuan, Xh. (2018). Intuitionistic Fuzzy Rough Set Based on the Cut Sets of Intuitionistic Fuzzy Set. In: Cao, BY. (eds) Fuzzy Information and Engineering and Decision. IWDS 2016. Advances in Intelligent Systems and Computing, vol 646. Springer, Cham. https://doi.org/10.1007/978-3-319-66514-6_4

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  • DOI: https://doi.org/10.1007/978-3-319-66514-6_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66513-9

  • Online ISBN: 978-3-319-66514-6

  • eBook Packages: EngineeringEngineering (R0)

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