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Rough Sets and Information Granulation

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Book cover Fuzzy Sets and Systems — IFSA 2003 (IFSA 2003)

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Abstract

In this paper, the study of the evolution of approximation space theory and its applications is considered in the context of rough sets introduced by Zdzisław Pawlak and information granulation as well as computing with words formulated by Lotfi Zadeh. Central to this evolution is the rough-mereological approach to approximation of information granules. This approach is built on the inclusion relation to be a part to a degree, which generalises the rough set and fuzzy set approaches. An illustration of information granulation of relational structures is given. The contribution of this paper is a comprehensive view of the notion of information granule approximation, approximation spaces in the context of rough sets and the role of such spaces in the calculi of information granules.

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Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Manitoba, Winnipeg, Manitoba, R3T 5V6, Canada

    James F. Peters & Sheela Ramanna

  2. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warsaw, Poland

    Andrzej Skowron

  3. Polish-Japanese Institute of Information Technology, Koszykowa 86, 02-008, Warsaw, Poland

    Piotr Synak

Authors
  1. James F. Peters
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  2. Andrzej Skowron
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  3. Piotr Synak
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  4. Sheela Ramanna
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Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Boğaziçi University, 34342, Bebek, Istanbul, Turkey

    Taner Bilgiç

  2. Dept. of Applied Mathematics, Biometrics and Process Control, Ghent University, Coupure links 653, 9000, Gent, Belgium

    Bernard De Baets

  3. Department of Electrical and Electronics Engineering, Boğaziçi University, 34342, Bebek, Istanbul, Turkey

    Okyay Kaynak

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© 2003 Springer-Verlag Berlin Heidelberg

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Peters, J.F., Skowron, A., Synak, P., Ramanna, S. (2003). Rough Sets and Information Granulation. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_44

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  • DOI: https://doi.org/10.1007/3-540-44967-1_44

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40383-8

  • Online ISBN: 978-3-540-44967-6

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