Probabilistic Implicational Bases in FCA and Probabilistic Bases of GCIs in 𝓔𝓛⊥
Research output: Contribution to book/conference proceedings/anthology/report › Conference contribution › Contributed › peer-review
Contributors
Abstract
A probabilistic formal context is a triadic context whose third dimension is a set of worlds equipped with a probability measure. After a formal definition of this notion, this document introduces probability of implications, and provides a construction for a base of implications whose probability satisfy a given lower threshold. A comparison between confidence and probability of implications is drawn, which yields the fact that both measures do not coincide, and cannot be compared. Furthermore, the results are extended towards the light-weight description logic 𝓔𝓛⊥ with probabilistic interpretations, and a method for computing a base of general concept inclusions whose probability fulfill a certain lower bound is proposed.
Details
Original language | English |
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Title of host publication | Proceedings of the 12th International Conference on Concept Lattices and their Applications (CLA 2015), Clermont-Ferrand, France |
Editors | Sadok Ben Yahia, Jan Konecny |
Publisher | CEUR-WS.org |
Pages | 193-204 |
Number of pages | 12 |
Volume | 1466 |
Publication status | Published - 13 Oct 2015 |
Peer-reviewed | Yes |
Publication series
Series | CEUR Workshop Proceedings |
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External IDs
ORCID | /0000-0003-0219-0330/work/153109407 |
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