A Unified Framework for Nonmonotonic Reasoning with Vagueness and Uncertainty

October 01, 2019 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Sandip Paul, Kumar Sankar Ray, Diganta Saha arXiv ID 1910.06902 Category cs.AI: Artificial Intelligence Citations 4 Venue arXiv.org Last Checked 4 months ago
Abstract
An interval-valued fuzzy answer set programming paradigm is proposed for nonmonotonic reasoning with vague and uncertain information. The set of sub-intervals of $[0,1]$ is considered as truth-space. The intervals are ordered using preorder-based truth and knowledge ordering. The preorder based ordering is an enhanced version of bilattice-based ordering. The system can represent and reason with prioritized rules, rules with exceptions. An iterative method for answer set computation is proposed. The sufficient conditions for termination of iterations are identified for a class of logic programs using the notion of difference equations.
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