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Multi-granulation Rough Sets Based on Central Sets

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Book cover Rough Sets and Knowledge Technology (RSKT 2014)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8818))

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Abstract

Exploring rough sets from the viewpoint of multi-granulation has become one of the promising topics in rough set theory, in which lower or upper approximations are approximated by multiple binary relations. The purpose of this paper is to develop two new kinds of multi-granulation rough set models by using concept of central sets in a given approximation space. Firstly, the concepts of the two new models are proposed. Then some important properties and the relationship of the models are disclosed. Finally, several uncertainty measures of the models are also proposed. These results will enrich the theory and application of multi-granulation rough sets.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, Gannan Normal University, Ganzhou, Jiangxi Province, P.R. China, 341000

    Caihui Liu, Yujiang Liu & Min Wang

  2. Department of Physical Education, Gannan Normal University, Ganzhou, China, 341000

    Meizhi Wang

Authors
  1. Caihui Liu
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  2. Meizhi Wang
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  3. Yujiang Liu
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  4. Min Wang
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Corresponding author

Correspondence to Caihui Liu .

Editor information

Editors and Affiliations

  1. Tongji University, Shanghai, China

    Duoqian Miao

  2. Department of Electrical and Computer En, University of Alberta, Edmonton, Alberta, Canada

    Witold Pedrycz

  3. University of Warsaw, Warsaw, Poland

    Dominik Ślȩzak

  4. University of Applied Sciences, München, Germany

    Georg Peters

  5. Tianjin University, Tianjin, China

    Qinghua Hu

  6. Tongji University, Shanghai, China

    Ruizhi Wang

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© 2014 Springer International Publishing Switzerland

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Liu, C., Wang, M., Liu, Y., Wang, M. (2014). Multi-granulation Rough Sets Based on Central Sets. In: Miao, D., Pedrycz, W., Ślȩzak, D., Peters, G., Hu, Q., Wang, R. (eds) Rough Sets and Knowledge Technology. RSKT 2014. Lecture Notes in Computer Science(), vol 8818. Springer, Cham. https://doi.org/10.1007/978-3-319-11740-9_6

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  • DOI: https://doi.org/10.1007/978-3-319-11740-9_6

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11739-3

  • Online ISBN: 978-3-319-11740-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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