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Rough Set Model Based on Hybrid Tolerance Relation

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Book cover Rough Sets and Knowledge Technology (RSKT 2012)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7414))

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Abstract

In this paper, three different tolerance relations are deeply explored in incomplete information system. The strong tolerance relation is corresponding to the semantic explanation of conjunction while the weak tolerance relation is corresponding to the semantic explanation of disjunction. Based on such two explanations, to derive decision rules with both “AND” and “OR” connectives from an incomplete decision system, the concept of the hybrid tolerance relation is proposed through the fusion of strong and weak tolerance relations. Two different rough sets are then constructed by employing hybrid tolerance relation and hybrid tolerance relation based maximal consistent blocks. The relationships between such two different rough sets are also explored. Finally, based on the maximal consistent blocks technique, the generation of decision rules from incomplete decision system is addressed.

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Author information

Authors and Affiliations

  1. School of Economics and Management, Jiangsu University of Science and Technology, Zhenjiang, 212003, China

    Junyi Zhou

  2. School of Computer Science and Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212003, P.R. China

    Xibei Yang

  3. School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing, 210094, China

    Xibei Yang

Authors
  1. Junyi Zhou
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  2. Xibei Yang
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Editor information

Editors and Affiliations

  1. School of Information Science and Technology, Southwest Jiaotong University, 610031, Chengdu, P.R. China

    Tianrui Li

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

    Hung Son Nguyen

  3. Institute of Computer Science and Technology, Chongqing University of Posts and Telecommunications, 400065, Chongqing, China

    Guoyin Wang

  4. Department of Electrical Engineering and Computer Science, University of Kansas, 66045 - 7621, Lawrence, KS, USA

    Jerzy Grzymala-Busse

  5. Department of Computing and Software, McMaster University, L8S 4K1, Hamilton, Ontario, Canada

    Ryszard Janicki

  6. Faculty of Computers and Information, Cairo University, Cairo, Egypt

    Aboul Ella Hassanien

  7. Software School, Dalian University of Technology, Dalian, China

    Hong Yu

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© 2012 Springer-Verlag Berlin Heidelberg

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Zhou, J., Yang, X. (2012). Rough Set Model Based on Hybrid Tolerance Relation. In: Li, T., et al. Rough Sets and Knowledge Technology. RSKT 2012. Lecture Notes in Computer Science(), vol 7414. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31900-6_4

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  • DOI: https://doi.org/10.1007/978-3-642-31900-6_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31899-3

  • Online ISBN: 978-3-642-31900-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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