Abstract
A Fuzzy abduction based on Lukasiewicz Infinite Valued Logic is proposed. in modus ponens and modus tolens of multi-valued logics, the inferred result is usually obtained as a set of truth values. In this papaer, we investigate the inference in a specific situation, develop assumptios for the inference and show that the inferred result is obtained as a truth value in the situation. Then, concepts of derivable fuzzy sets and fuzzy explanations of a given fuzzy set, which are based on the inference, are introduced and discussed. Fuzzy abduction is defined as the procedure to get a fuzzy explnation. Finally, an example of the fuzzy abduction is shown.
