2014
DOI: 10.1007/978-3-319-12096-6_26
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Argument Ranking with Categoriser Function

Abstract: Recently, ranking-based semantics is proposed to rank-order arguments from the most acceptable to the weakest one(s), which provides a graded assessment to arguments. In general, the ranking on arguments is derived from the strength values of the arguments. Categoriser function is a common approach that assigns a strength value to a tree of arguments. When it encounters an argument system with cycles, then the categoriser strength is the solution of the non-linear equations. However, there is no detail about t… Show more

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Cited by 25 publications
(28 citation statements)
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“…otherwise [17] defines a ranking from the categoriser function, when the argumentation framework is a tree. Pu et al [62] have proved that this semantics always yields a (unique) result for any argumentation framework. The categoriser ranking-based semantics associates to any argumentation framework F = A, R a ranking Cat F on A such that, ∀a, b ∈ A:…”
Section: Definition 4 ([26]mentioning
confidence: 94%
“…otherwise [17] defines a ranking from the categoriser function, when the argumentation framework is a tree. Pu et al [62] have proved that this semantics always yields a (unique) result for any argumentation framework. The categoriser ranking-based semantics associates to any argumentation framework F = A, R a ranking Cat F on A such that, ∀a, b ∈ A:…”
Section: Definition 4 ([26]mentioning
confidence: 94%
“…h-categorizer semantics [5,15] This gradual semantics uses a categorizer function to assign a value to each argument which captures the relative strength of an argument taking into account the strength of its attackers, which itself takes into account the strength of its attackers, and so on.…”
Section: Definition 3 (Gradual Semantics) a Gradual Semantics Is A Fmentioning
confidence: 99%
“…For comparison purpose, we also include in this table the results of some semantics from the literature where the same set [5] of properties has been already checked. Namely, these semantics are: the semantics based on Social Argumentation Frameworks SAF [16,11,8] restricted to Dung's argumentation framework, the semantics Categoriser Cat [3,19], the Discussion-based semantics Dbs and the Burden-based semantics Bbs [1], the global semantics based on tuple values T uples * [7], and the semantics M&T [17]. Table 2.…”
Section: Other Propertiesmentioning
confidence: 99%
“…Taken in their abstract form, such networks are argumentation frameworks, as defined by Dung [10]. Sharing the view that identifying sets of mutually acceptable arguments (extensions) is sometimes not sufficient, many "gradual" (returning a value) [3,17,9,16] or "ranking" (returning an order) semantics have been proposed [7,1,19,13,20,2,6]. Each of these proposals has some merit, and nicely designed examples convince indeed that, in some situations at least, they should be the method of choice.…”
Section: Introductionmentioning
confidence: 99%