Reducing fuzzy answer set programming to model finding in fuzzy logics

JEROEN JANSSEN, DIRK VERMEIR, STEVEN SCHOCKAERT, MARTINE DE COCK
2011 Theory and Practice of Logic Programming  
AbstractIn recent years, answer set programming (ASP) has been extended to deal with multivalued predicates. The resulting formalismsallow for the modeling of continuous problems as elegantly as ASP allows for the modeling of discrete problems, by combining thestable model semantics underlying ASP with fuzzy logics. However, contrary to the case of classical ASP where manyefficient solvers have been constructed, to date there is no efficient fuzzy ASP solver. A well-knowntechnique for classical
more » ... ASP consists of translating an ASP programPto a propositional theory whose models exactlycorrespond to the answer sets ofP. In this paper, we show how this idea can be extended to fuzzy ASP, paving the wayto implement efficient fuzzy ASP solvers that can take advantage of existing fuzzy logic reasoners.
doi:10.1017/s1471068411000093 fatcat:unnwhgj5ejgyvihdh2oe3l6ibq