{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T12:06:52Z","timestamp":1768738012312,"version":"3.49.0"},"reference-count":41,"publisher":"SAGE Publications","issue":"2","license":[{"start":{"date-parts":[[2023,7,28]],"date-time":"2023-07-28T00:00:00Z","timestamp":1690502400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc\/4.0\/"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Argument &amp; Computation"],"published-print":{"date-parts":[[2024,7,12]]},"abstract":"<jats:p> In this paper, we study conditional preferences in abstract argumentation by introducing a new generalization of Dung-style argumentation frameworks (AFs) called Conditional Preference-based AFs (CPAFs). Each subset of arguments in a CPAF can be associated with its own preference relation. This generalizes existing approaches for preference-handling in abstract argumentation, and allows us to reason about conditional preferences in a general way. We conduct a principle-based analysis of CPAFs and compare them to related generalizations of AFs. Specifically, we highlight similarities and differences to Modgil\u2019s Extended\u00a0AFs and show that our formalism can capture Value-based\u00a0AFs. Moreover, we show that in some cases the introduction of conditional preferences leads to an increase in computational complexity. <\/jats:p>","DOI":"10.3233\/aac-230001","type":"journal-article","created":{"date-parts":[[2023,7,28]],"date-time":"2023-07-28T16:08:13Z","timestamp":1690560493000},"page":"161-189","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":2,"title":["Abstract argumentation with conditional preferences"],"prefix":"10.1177","volume":"15","author":[{"given":"Michael","family":"Bernreiter","sequence":"first","affiliation":[{"name":"Institute of Logic and Computation, TU Wien, Austria"}]},{"given":"Wolfgang","family":"Dvo\u0159\u00e1k","sequence":"additional","affiliation":[{"name":"Institute of Logic and Computation, TU Wien, Austria"}]},{"given":"Stefan","family":"Woltran","sequence":"additional","affiliation":[{"name":"Institute of Logic and Computation, TU Wien, Austria"}]}],"member":"179","published-online":{"date-parts":[[2023,7,28]]},"reference":[{"key":"ref001","doi-asserted-by":"crossref","unstructured":"G.Alfano, S.Greco, F.Parisi and I.Trubitsyna, On preferences and priority rules in abstract argumentation, in: Proc. 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