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Title

Formalizing argumentative reasoning in a possibilistic logic programming setting with fuzzy unification

AuthorsAlsinet, Teresa; Chesñevar, Carlos; Godo, Lluis ; Sandri, Sandra; Simari, Guillermo
KeywordsWarrant computation
Possibilistic logic
Fuzzy constants
Defeasible argumentation
Fuzzy unification
Issue Date2008
PublisherElsevier
CitationInternational Journal of Approximate Reasoning 48: 711- 729 (2008)
AbstractPossibilistic Defeasible Logic Programming (P-DeLP) is a logic programming language which combines features from argumentation theory and logic programming, incorporating the treatment of possibilistic uncertainty at the object-language level. In spite of its expressive power, an important limitation in P-DeLP is that imprecise, fuzzy information cannot be expressed in the object language. One interesting alternative for solving this limitation is the use of PGL+, a possibilistic logic over Gödel logic extended with fuzzy constants. Fuzzy constants in PGL+ allow expressing disjunctive information about the unknown value of a variable, in the sense of a magnitude, modelled as a (unary) predicate. The aim of this article is twofold: firstly, we formalize DePGL+, a possibilistic defeasible logic programming language that extends P-DeLP through the use of PGL+ in order to incorporate fuzzy constants and a fuzzy unification mechanism for them. Secondly, we propose a way to handle conflicting arguments in the context of the extended framework. © 2007 Elsevier Inc. All rights reserved.
URIhttp://hdl.handle.net/10261/160433
Identifiersdoi: 10.1016/j.ijar.2007.07.004
issn: 0888-613X
Appears in Collections:(IIIA) Artículos
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