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International Workshop on Rough Sets, Fuzzy Sets, Data Mining, and Granular-Soft Computing

RSFDGrC 2009: Rough Sets, Fuzzy Sets, Data Mining and Granular Computing pp 77–84Cite as

Towards an Algebraic Approach for Cover Based Rough Semantics and Combinations of Approximation Spaces

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5908))

Abstract

We introduce the concept of a synchronal approximation space (SA) and a AUAI-multiple approximation space and show that they are essentially equivalent to an AUAI rough system. Through this we have estabilished connections between general cover based systems, dynamic spaces and generalized approximation spaces (APS) for easier algebraic semantics. AUAI-rough set theory (RST) is also extended to accommodate local determination of universes. The results obtained are also significant in the representation theory of general granular RST, for the problems of multi source RST and Ramsey-type combinatorics.

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References

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Author information

Authors and Affiliations

  1. Calcutta Logic Circle, 9/1B, Jatin Bagchi Road, Kolkata(Calcutta), 700029, India

    A. Mani

Authors
  1. A. Mani
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Aided Sciences, Kyushu Institute of Technology, 804-8550, Tobata, Kitakyushu, Japan

    Hiroshi Sakai

  2. Department of Pure Mathematics, University of Calcutta, 35 Ballygunge Circular Road, 700019, Kolkata, India

    Mihir Kumar Chakraborty

  3. Information Technology Department, University of Cairo, 5 Ahmed Zewal St. Orman, Giza, Egypt

    Aboul Ella Hassanien

  4. University of Warsaw & Infobright Inc., Poland

    Dominik Ślęzak

  5. University of Electronic Science and Technology of China, Chengdu, China

    William Zhu

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© 2009 Springer-Verlag Berlin Heidelberg

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Mani, A. (2009). Towards an Algebraic Approach for Cover Based Rough Semantics and Combinations of Approximation Spaces. In: Sakai, H., Chakraborty, M.K., Hassanien, A.E., Ślęzak, D., Zhu, W. (eds) Rough Sets, Fuzzy Sets, Data Mining and Granular Computing. RSFDGrC 2009. Lecture Notes in Computer Science(), vol 5908. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10646-0_9

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  • DOI: https://doi.org/10.1007/978-3-642-10646-0_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-10645-3

  • Online ISBN: 978-3-642-10646-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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