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Rough Multiset and Its Multiset Topology

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Book cover Transactions on Rough Sets XIV

Part of the book series: Lecture Notes in Computer Science ((TRS,volume 6600))

Abstract

This article introduces the notion of multiset topology (M-topology) and points out the concept of open multisets (mset, for short). Multiset topologies are obtained by using multiset relation. Rough multiset is introduced in terms of lower and upper approximations. We use a multiset topological concept to investigate Pawlaks rough set theory by replaing its universe by multiset. The multiset topology induced by a multiset relation is used to generalize the rough multiset concept. Properties of rough multisets are obtained. Comparison between our approach and previous approaches are given and a generalized approximation mset space is a multiset topological space for any reflexive mset relation.

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Author information

Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Calicut, 673 601, Kerala, India

    K. P. Girish & Sunil Jacob John

Authors
  1. K. P. Girish
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  2. Sunil Jacob John
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Editor information

Editors and Affiliations

  1. University of Manitoba, R3T 5V6, Winnipeg, MB, Canada

    James F. Peters

  2. University of Warsaw, 02-097, Warsaw, Poland

    Andrzej Skowron  & Dominik Slezak  & 

  3. Kyushu Institute of Technology, 804, Tobata, Kitakyushu, Japan

    Hiroshi Sakai

  4. Jadavpur University, Kolkata, Indian Statistical Institute, Kolkata, India

    Mihir Kumar Chakraborty

  5. Cairo University, Orman, Giza, Egypt

    Aboul Ella Hassanien

  6. Zhangzhou Normal University, Fujian, China

    William Zhu

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© 2011 Springer-Verlag Berlin Heidelberg

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Girish, K.P., John, S.J. (2011). Rough Multiset and Its Multiset Topology. In: Peters, J.F., et al. Transactions on Rough Sets XIV. Lecture Notes in Computer Science, vol 6600. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21563-6_4

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  • DOI: https://doi.org/10.1007/978-3-642-21563-6_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21562-9

  • Online ISBN: 978-3-642-21563-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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