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On Rough Equalities and Rough Equivalences of Sets

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Rough Sets and Current Trends in Computing (RSCTC 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5306))

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Abstract

The different types of rough equalities [4,5,6] of sets deal with approximate equalities of sets which may not be equal in the usual sense of classical set theory. In this article, we make further study of the properties of rough equalities. A more general kind of equality of sets (we call it rough equivalence) shall be introduced, which captures equalities of sets at a higher level than rough equalities. Many properties of this new notion and its comparison with rough equalities shall be dealt with. We shall make use of the concepts of rough inclusions of sets in this sequel.

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Author information

Authors and Affiliations

  1. School of Computing Sciences, V.I.T. University, Vellore, T.N., 632 014, India

    Bala Krushna Tripathy

  2. Department of Computer Science, Berhampur University, Berhampur, Orissa, 760 007, India

    Anirban Mitra

  3. Department of Mathematics, Khallikote College, Berhampur, 760001, Orissa, India

    Jaladhar Ojha

Authors
  1. Bala Krushna Tripathy
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  2. Anirban Mitra
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  3. Jaladhar Ojha
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Editor information

Editors and Affiliations

  1. Department of Computer Science, The University of Akron, OH 44325-4003, Akron, USA

    Chien-Chung Chan

  2. Department of Electrical Engineering and Computer Science, University of Kansas, KS 66045, Lawrence, USA

    Jerzy W. Grzymala-Busse

  3. Department of Computer Science, University of Regina,, S4S 0A2, Regina, Saskatchewan, Canada

    Wojciech P. Ziarko

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Tripathy, B.K., Mitra, A., Ojha, J. (2008). On Rough Equalities and Rough Equivalences of Sets. In: Chan, CC., Grzymala-Busse, J.W., Ziarko, W.P. (eds) Rough Sets and Current Trends in Computing. RSCTC 2008. Lecture Notes in Computer Science(), vol 5306. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88425-5_10

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  • DOI: https://doi.org/10.1007/978-3-540-88425-5_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88423-1

  • Online ISBN: 978-3-540-88425-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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