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Interpretations of Lower Approximations in Inclusion Degrees

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Rough Sets (IJCRS 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9920))

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Abstract

The nature of uncertainty inference is to give evaluations on inclusion relationships by means of various measures. In this paper we introduce the concept of inclusion degrees into rough set theory. It is shown that the lower approximations of the rough set theory in both the crisp and the fuzzy environments can be represented as inclusion degrees.

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Acknowledgments

This work was supported by grants from the National Natural Science Foundation of China (Nos. 61573321, 61272021, 61602415, and 41631179) and the Open Foundation from Marine Sciences in the Most Important Subjects of Zhejiang (No. 20160102).

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Authors and Affiliations

  1. School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, Zhejiang, 316022, China

    Wei-Zhi Wu, Chao-Jun Chen & Xia Wang

  2. Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhejiang Ocean University, Zhoushan, Zhejiang, 316022, China

    Wei-Zhi Wu, Chao-Jun Chen & Xia Wang

Authors
  1. Wei-Zhi Wu
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  2. Chao-Jun Chen
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  3. Xia Wang
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Corresponding author

Correspondence to Wei-Zhi Wu .

Editor information

Editors and Affiliations

  1. Universidad Católica del Norte, Antofagasta, Chile

    Víctor Flores

  2. University of Campinas, Campinas, SP, Brazil

    Fernando Gomide

  3. University of Warsaw, Warsaw, Poland

    Andrzej Janusz

  4. Universidad del Católica del Norte, Antofagasta, Chile

    Claudio Meneses

  5. Tongji University, Shanghai, China

    Duoqian Miao

  6. University of Applied Sciences, Munich, Germany

    Georg Peters

  7. University of Warsaw, Warsaw, Poland

    Dominik Ślęzak

  8. Chongqing University of Posts and Telecommunications, Chongqing, China

    Guoyin Wang

  9. Universidad de Chile, Santiago, Chile

    Richard Weber

  10. University of Regina, Regina, Saskatchewan, Canada

    Yiyu Yao

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Wu, WZ., Chen, CJ., Wang, X. (2016). Interpretations of Lower Approximations in Inclusion Degrees. In: Flores, V., et al. Rough Sets. IJCRS 2016. Lecture Notes in Computer Science(), vol 9920. Springer, Cham. https://doi.org/10.1007/978-3-319-47160-0_27

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  • DOI: https://doi.org/10.1007/978-3-319-47160-0_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-47159-4

  • Online ISBN: 978-3-319-47160-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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