In this paper, we investigate a knowledge representation formalism in the c
ontext of fuzzy data tables. A possibilistic decision logic incorporating l
inguistic terms is proposed for representing and reasoning about knowledge
in fuzzy data tables. Two applications based on the logic are described. Th
e first is the extraction of fuzzy rules from general fuzzy data tables. In
this application, the knowledge in the tables may be made explicit by the
formulas of the logic or used implicitly in decision-making. The second is
for the fuzzy quantization problem of precise data tables. It can be viewed
as a special case of the first, however, due to some special properties of
the problem, a polynomial time rule extraction process can be obtained. Fi
nally, the relationship of the logic with some works for handling uncertain
information in data tables is also discussed.