The Rationality and Decidability of Fuzzy Implications
نویسندگان
چکیده
It is well known that knowledge-based systems would be more robust and smarter if they can deal with the inconsistent, incomplete or imprecise knowledge, which has been referred to as common sense knowledge. In this paper, we discuss fuzzy implications in the sense of common sense reasoning. F i rs t ly , we analyse the ra t i ona l i t y of some exist ing fuzzy implications based on the discussion of implicational paradoxes. Secondly, we present a new fuzzy preferent ia l implication that is nonmonotonic, paraconsistent and without the general implicational paradoxes. Final ly, we propose sound and complete decision tableaux of such implications, which can be used as the inference engines of adaptive expert systems or frameworks for the fuzzy Prolog.
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