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Procedural Semantics for Fuzzy Disjunctive Programs

Dušan GullerContact Information

(3)  Institute of Informatics, Comenius University, Mlynská dolina, 842 15 Bratislava, Slovakia
Abstract
In the paper, we present a procedural semantics for fuzzy disjunctive programs - sets of graded strong literal disjunctions. We shall suppose that truth values constitute a complete Boolean lattice L = (L,≤, ∪, ∩, ⇒, 0,1). A graded strong literal disjunction is a pair (D,c) where D is a strong literal disjunction of the form $$l_1 \dot  \vee  \cdots \dot  \vee l_n $$ and c is a truth value from the lattice L. A graded disjunction can be understood as a means of the representation of incomplete and uncertain information, where the incompleteness is formalised by its strong literal disjunction, while the uncertainty by its truth degree. In the end, the coincidence of the procedural and fixpoint semantics, proposed in [18], will be reached.

Keywords  disjunctive logic programming - multivalued logic programming - fuzzy logic - model theory - knowledge representation and reasoning - logic in artificial intelligence


Contact Information Dušan Guller
Email: guller@fmph.uniba.sk
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Referenced by
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  1. Loyer, Yann (2008) Approximate well-founded semantics, query answering and generalized normal logic programs over lattices. Annals of Mathematics and Artificial Intelligence
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