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Sufficiently Near Sets of Neighbourhoods

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Rough Sets and Knowledge Technology (RSKT 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6954))

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Abstract

The focus of this paper is on sets of neighbourhoods that are sufficiently near each other as yet another way to consider near sets. This study has important implications in M. Katětov’s approach to topologising a set. A pair of neighbourhoods of points are sufficiently near, provided that the C̆ech distance between the neighbourhoods is less than some number ε. Sets of neighbourhoods are sufficiently near, provided the C̆ech distance between the sets of neighbourhoods is less than some number ε.

Many thanks to S. Tiwari, S. Naimpally, C.J. Henry & S. Ramanna for their insights concerning topics in this paper. This research has been supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) grant 185986, Manitoba NCE MCEF grant, Canadian Arthritis Network grant SRI-BIO-05.

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Author information

Authors and Affiliations

  1. Computational Intelligence Laboratory, Department of Electrical & Computer Engineering, Univ. of Manitoba, E1-526, 75A Chancellor’s Circle, Winnipeg, MB R3T 5V6, Canada

    James F. Peters

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  1. James F. Peters
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Editor information

Editors and Affiliations

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

    JingTao Yao

  2. Department of Applied Computer Science, University of Winnipeg, R3B 2E9, Winnipeg, Canada

    Sheela Ramanna

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

    Guoyin Wang

  4. Chair of Computer Science, University of Rzeszów, Poland

    Zbigniew Suraj

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Peters, J.F. (2011). Sufficiently Near Sets of Neighbourhoods. In: Yao, J., Ramanna, S., Wang, G., Suraj, Z. (eds) Rough Sets and Knowledge Technology. RSKT 2011. Lecture Notes in Computer Science(), vol 6954. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24425-4_4

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  • DOI: https://doi.org/10.1007/978-3-642-24425-4_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24424-7

  • Online ISBN: 978-3-642-24425-4

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