Methods of Evaluation and Extraction of Membership Functions--Review with a New Approach

In fuzzy mathematics, evaluation of membership function is still a problem, as the methods for this purpose do not hold well in all aspects. The purpose of this work is to assemble and to draw an overview of them. In addition, this work consists of a new approach, which may lead to a new way. The approach is from numerical point of view with the help of statistics. There are two methods, namely (i) modified Newton's divided difference method and (ii) modified Lagrange's interpolation method