  The purpose of this paper is to study the algorithm FCM and some of its
famous innovations, analyse and discover the method of applying hedge algebra
theory that uses algebra to represent linguistic-valued variables, to FCM.
Then, this paper will propose a new FCM-based algorithm which uses hedge
algebra to model FCM's exponent parameter. Finally, the design, analysis and
implementation of the new algorithm as well some experimental results will be
presented to prove our algorithm's capacity of solving clustering problems in
practice.
