A new linear generalized fuzzy operator (LGFO) used for fuzzy enhancement of regional contrast is constructed based on the theory of traditional fuzzy set (FS) and generalized fuzzy set (GFS),and theoretical analyses and testing the characters LGFO. And then an algorithm for adaptive bilinear generalized fuzzy enhancement used for extracting edge contour of images is put forward. The algorithm is to achieve space transform between gray image space and generalized fuzzy space by using linear generalized membership transform function and LGFO. Using the algorithm,the linear generalized fuzzy membership space is enhanced fuzzily by LGFO in the process of space transform. Finally,the contour of image is extracted using “MIN” operator in gray image space. The algorithm is also to achieve adaptive optimization of the image after linear generalized fuzzy enhancement by selecting fuzzy parameter D automatically,using the quotient between detectable edge degree and noise standard deviation as the evaluation standard of image enhancement. The experiments show that the algorithm is efficient and has no distortion,and can be applied to color image. By using the algorithm,the contour of image is accurate and structured.