Rough Sets and Textural Neighbourhoods


DİKER M., UGUR A. A., Bayhan S.

10th International Conference on Rough Sets and Knowledge Technology (RSKT) held as part of the International Joint Conference on Rough Sets (IJCRS), Tianjin, China, 20 - 23 November 2015, vol.9436, pp.202-213, (Full Text) identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 9436
  • Doi Number: 10.1007/978-3-319-25754-9_18
  • City: Tianjin
  • Country: China
  • Page Numbers: pp.202-213
  • Hacettepe University Affiliated: Yes

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.