In this correspondence, the extension principle is used in order to fu
zzify location and scale estimators when used on fuzzy numbers. First,
fuzzy nonlinear means are defined as extensions of the corresponding
crisp means. Fuzzy L location and scale estimators, which are based on
fuzzy-order statistics, are defined as extensions of the crisp L loca
tion and scale estimators. The most widely used scale estimator, which
is known as the sample standard deviation, is also extended to fuzzy
numbers through the extension principle. Equivalent relations that can
be used to calculate the fuzzy estimators by using crisp arithmetic a
re also given for each one of the proposed fuzzy estimators.