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Procedural Semantics for Fuzzy Disjunctive Programs
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Procedural Semantics for Fuzzy Disjunctive Programs
Dušan Guller3 
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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

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
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