Textural formal context

DİKER M. , Ugur A. , Bayhan S.

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, cilt.114, ss.182-203, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 114
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.ijar.2019.08.011
  • Sayfa Sayıları: ss.182-203


In this paper, we discuss formal context in textures. A texturing is a family of subsets of a domain of discourse satisfying certain conditions. Considering a t-formal context, we formulate the notions of extent and intent in terms of p-sets and q-sets. Then we define t-formal concept and t-formal co-concept. For complemented direlations, we prove that they give two different concept lattices which are dually isomorphic to each other. These lattices correspond to a concept lattice in the sense of R. Wille and a dual concept lattice given by Duntsh and Gediga, respectively. In particular, we observe that a texturing, as an imperfect collection of sets of a domain of discourse, provides a remarkable setting which still ensures information with respect to given system. Finally, we prove the main theorem of formal concept analysis for textures. (C) 2019 Elsevier Inc. All rights reserved.