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International Conference on Fuzzy Systems and Knowledge Discovery

FSKD 2006: Fuzzy Systems and Knowledge Discovery pp 266–275Cite as

On Reduction of Morphological Covering Rough Sets

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4223))

Abstract

Both rough set theory and mathematical morphology originated from the classical set theory, and are characterized by using dual operators sharing similar properties. In this paper, a notion of morphological covering rough set is introduced by means of combining rough set with fundamental morphological operators. The focus of this paper is on constructing a covering and a pair of morphological rough approximation operators. The issue on reduction of a morphological covering is explored and the procedure for generating the reduction is presented. Necessary and sufficient conditions on characterization of the reduction are proved.

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Author information

Authors and Affiliations

  1. College of Science, Harbin Engineering University, Harbin, 150001, P.R. China

    Tingquan Deng

  2. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, P.R. China

    Yanmei Chen

Authors
  1. Tingquan Deng
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  2. Yanmei Chen
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Editor information

Editors and Affiliations

  1. School of Electrical and Electronic Engineering, Nanyang Technological University,, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  2. Life Science Research Center, School of Electronic Engineering, Xidian University,, 710071, Xi’an, Shaanxi, China

    Licheng Jiao

  3. School of Electrical and Electronic Engineering, Xidian University, 710071, Xi’an, China

    Guanming Shi

  4. School of Information Technology and Electrical Engineering, The University of Queensland, 4072, Brisbane, Queensland, Australia

    Xue Li

  5. College of Mathematics and Information Science, Hebei Normal University, 050016, Shijiazhuang, Hebei, P.R. China

    Jing Liu

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© 2006 Springer-Verlag Berlin Heidelberg

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Cite this paper

Deng, T., Chen, Y. (2006). On Reduction of Morphological Covering Rough Sets. In: Wang, L., Jiao, L., Shi, G., Li, X., Liu, J. (eds) Fuzzy Systems and Knowledge Discovery. FSKD 2006. Lecture Notes in Computer Science(), vol 4223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881599_30

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  • DOI: https://doi.org/10.1007/11881599_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45916-3

  • Online ISBN: 978-3-540-45917-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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