Y. Cho et al., AUTOGENERATION OF FUZZY RULES AND MEMBERSHIP FUNCTIONS FOR FUZZY MODELING USING ROUGH SET-THEORY, IEE proceedings. Control theory and applications, 145(5), 1998, pp. 437-442
The rough set theory can represent a degree of consistency between con
dition and decision attributes of data pairs which do not have linguis
tic information. By using this ability, a measure called occupancy deg
ree is defined, which can represent the degree of consistency between
premise and consequent variables in fuzzy rules describing given exper
imental data pairs. A method is also proposed by which the projected d
ata is partitioned on the input space, and an optimal fuzzy rule table
and membership functions of input and output variables are found from
data without preliminary linguistic information. The validity of the
proposed method is examined by modelling data pairs which are randomly
generated from a fuzzy system.