A new automatic MF generator (AMFG) for general 3D type-ii fuzzy in the polar frame

There are myriad membership functions that used in fuzzy realm. These methods are used to initially represent the distribution of the pattern data. This paper deal with a new generation of fuzzy membership functions in the new form of representation. In this paper, an automatic GT2 FMF generator is introduced in the frame of polar system. First, the IT2 FMF algorithm introduced, and then GT2 MF is described. Cubic Smoothing Spline (CSS) is used for generating the upper and lower membership function. The Three Dimensional Membership Functions (3DMFs) in upper and lower (3DMFu and 3DMF
_L
) are tested from the tuning the parameters of a cubic smoothing Spline. The parameters of Compactness and Smoothness are employed for tuning the 3DMFs. Some of the desirable properties of this method are described and capability of proposed method illustrated with an application in Automatic Asphalt pavement distress detection systems.