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International Conference on Rough Sets and Knowledge Technology

RSKT 2015: Rough Sets and Knowledge Technology pp 202–213Cite as

Rough Sets and Textural Neighbourhoods

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9436))

Abstract

In this work, we discuss the neighbourhoods and approximation operators using p-sets and q-sets of a texture. Here, we show that the presections of a direlation correspond to lower and upper approximations in terms of successor neighbourhood operators while the sections of a direlation correspond to lower and upper approximations in terms of predecessor neighbourhood operators. For discrete textures, we observe that the weak forms of definabilities are preserved under the relation preserving bijective functions where the inverses are also relation preserving.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Hacettepe University, Beytepe, 06532, Ankara, Turkey

    Murat Diker

  2. Department of Secondary Science and Mathematics Education, Hacettepe University, Beytepe, 06532, Ankara, Turkey

    Ayşegül Altay Uğur

  3. Department of Mathematics, Mehmet Akif Ersoy University, İstiklal Campus, 15030, Burdur, Turkey

    Sadık Bayhan

Authors
  1. Murat Diker
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  2. Ayşegül Altay Uğur
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  3. Sadık Bayhan
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Corresponding author

Correspondence to Murat Diker .

Editor information

Editors and Affiliations

  1. University of Milano-Bicocca, Milano, Italy

    Davide Ciucci

  2. Chongqing University of Posts and Telecommunications, Chongqing, China

    Guoyin Wang

  3. Indian Statistical Institute, Kolkata, India

    Sushmita Mitra

  4. Zhejiang Ocean University, Zhejiang, China

    Wei-Zhi Wu

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Diker, M., Uğur, A.A., Bayhan, S. (2015). Rough Sets and Textural Neighbourhoods. In: Ciucci, D., Wang, G., Mitra, S., Wu, WZ. (eds) Rough Sets and Knowledge Technology. RSKT 2015. Lecture Notes in Computer Science(), vol 9436. Springer, Cham. https://doi.org/10.1007/978-3-319-25754-9_18

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  • DOI: https://doi.org/10.1007/978-3-319-25754-9_18

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-25753-2

  • Online ISBN: 978-3-319-25754-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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