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Rough Sets and Textural Neighbourhoods

  • Murat Diker
  • Ayşegül Altay Uğur
  • Sadık Bayhan
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, 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.

Keywords

Approximation operator Definability Direlation Neighbourhood operators Rough set Texture space 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Murat Diker
    • 1
  • Ayşegül Altay Uğur
    • 2
  • Sadık Bayhan
    • 3
  1. 1.Department of MathematicsHacettepe UniversityAnkaraTurkey
  2. 2.Department of Secondary Science and Mathematics EducationHacettepe UniversityAnkaraTurkey
  3. 3.Department of MathematicsMehmet Akif Ersoy UniversityBurdurTurkey

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