{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,22]],"date-time":"2025-02-22T05:26:41Z","timestamp":1740202001427,"version":"3.37.3"},"reference-count":0,"publisher":"IOS Press","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2016]]},"abstract":"<jats:p>The traditional 3-valued semantics of an argumentation frameworkidentifies arguments that are &amp;ldquo;in&amp;rdquo;, &amp;ldquo;out&amp;rdquo; and &amp;ldquo;undecided&amp;rdquo;. Yet, it has long been recognised by the community that some elements can be at different degrees in each of these categories [1,2,3]. For example, Dung's semantics can only classify some elements as &amp;ldquo;out&amp;rdquo;, but cannot reflect how much &amp;ldquo;out&amp;rdquo; they really are or if elements are &amp;ldquo;in&amp;rdquo; are they as much &amp;ldquo;in&amp;rdquo; as elements which are not attacked at all? In this paper we shall use a numerical approach to give a measure of &amp;ldquo;in&amp;rdquo;, &amp;ldquo;out&amp;rdquo; and &amp;ldquo;undecided&amp;rdquo; to the nodes of a network. We shall devise equations which allow for solutions that reflect these distinctions.<\/jats:p>","DOI":"10.3233\/978-1-61499-686-6-319","type":"book-chapter","created":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:27:05Z","timestamp":1740133625000},"source":"Crossref","is-referenced-by-count":0,"title":["Degrees of &amp;ldquo;in&amp;rdquo;, &amp;ldquo;out&amp;rdquo; and &amp;ldquo;undecided&amp;rdquo; in Argumentation Networks"],"prefix":"10.3233","author":[{"family":"Gabbay Dov M.","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"family":"Rodrigues Odinaldo","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"7437","container-title":["Frontiers in Artificial Intelligence and Applications","Computational Models of Argument"],"original-title":[],"deposited":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:45:23Z","timestamp":1740134723000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.medra.org\/servlet\/aliasResolver?alias=iospressISBN&isbn=978-1-61499-685-9&spage=319&doi=10.3233\/978-1-61499-686-6-319"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"references-count":0,"URL":"https:\/\/doi.org\/10.3233\/978-1-61499-686-6-319","relation":{},"ISSN":["0922-6389"],"issn-type":[{"value":"0922-6389","type":"print"}],"subject":[],"published":{"date-parts":[[2016]]}}}