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Formalizing argumentative reasoning in a possibilistic logic programming setting with fuzzy unification
Alsinet, Teresa; Chesñevar, Carlos Iván; Godo i Lacasa, Lluís; Sandri, Sandra; Simari, Guillermo Ricardo
Possibilistic 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.
Possibilistic logic
Fuzzy constants
Fuzzy unification
Defeasible argumentation
Warrant computation
Programació lògica
Lògica difusa
(c) Elsevier, 2008

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