{"type":"ScholarlyArticle","title":"The Complexity of Subsumption in Fuzzy EL","authors":[{"name":"Stefan Borgwardt","slug":"stefan-borgwardt","given":"Stefan","family":"Borgwardt","affiliation":""},{"name":"Marco Cerami","slug":"marco-cerami","given":"Marco","family":"Cerami","affiliation":""},{"name":"Rafael Peñaloza","slug":"rafael-penaloza","given":"Rafael","family":"Peñaloza","affiliation":""}],"abstract":"Fuzzy Description Logics (DLs) are used to represent and reason about vague and imprecise knowledge that is inherent to many application domains. It was recently shown that the complexity of reasoning in finitely valued fuzzy DLs is often not higher than that of the underlying classical DL. We show that this does not hold for fuzzy extensions of the light-weight DL EL, which is used in many biomedical ontologies, under the Lukasiewicz semantics. The complexity of reasoning increases from PTime to ExpTime, even if only one additional truth value is introduced. The same lower bound holds also for infinitely valued Lukasiewicz extensions of EL.","doi":null,"url":"https://ijcai.org/proceedings/2015/398","pdf":"https://ijcai.org/proceedings/2015/0398.pdf","markdown":"https://ijcai.org/proceedings/2015/398.md","bibtex":"https://ijcai.org/proceedings/2015/bibtex/398","volume":{"slug":"2015","title":"Proceedings of the Twenty-Fourth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2015","url":"https://ijcai.org/proceedings/2015/","year":2015,"location":"Buenos Aires, Argentina","dates":"25–31 July 2015","editors":"Qiang Yang and Michael Wooldridge","isbn":"978-1-57735-738-4","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":"Special Track on Knowledge Representation and Reasoning","track":"Special Track on Knowledge Representation and Reasoning","number":398,"pages":{"first":2812,"last":2817},"keywords":[],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}