Textural formal context
| Autor: | Murat Diker, Ayşegül Altay Uğur, Sadık Bayhan |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Computer science
Applied Mathematics A domain 02 engineering and technology Theoretical Computer Science Algebra Artificial Intelligence 020204 information systems Lattice (order) 0202 electrical engineering electronic engineering information engineering Formal concept analysis 020201 artificial intelligence & image processing Imperfect Family of sets Software |
| Zdroj: | International Journal of Approximate Reasoning. 114:182-203 |
| ISSN: | 0888-613X |
| DOI: | 10.1016/j.ijar.2019.08.011 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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