The dimensionality of face image is high very much. It has a lot of difficulty in face recognition. In this paper, first, the concepts of polynomial fuzzy matching based on four rulers (two point rulers and two slope rulers) are introduced. It is not practical because all the slopes m{sub}i must be given at the beginning. It is presented that the fuzzy matching for a nonlinear function between input and output can be realized by using three rulers (two point rulers and one slope ruler). The affinity between two memberships can be used for assessment to the linearity of the matched curve. The image is composed of some curves. So the affinity can be used in face image recognition. Before recognition, the nonlinear dimensionality reduction algorithm Isomap is applied in face images. Then the polynomial fuzzy matching based on three rulers algorithm is applied in face recognition. The experiments show that this method is feasible and has good recognition capability
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