A new approach based on generalized type-2 fuzzy logic for edge detection

This paper presents an edge detection method based on morphological gradient technique and generalized type-2 fuzzy logic. The theory of alpha planes is used to implement generalized type-2 fuzzy logic. For the test we used the method of defuzzification by height and approximation. The simulation results were obtained with a type-1 fuzzy inference system (T1FIS), an interval type-2 fuzzy inference system (IT2FIS) and with a generalized type-2 fuzzy logic (GT2FIS). The proposed type-2 fuzzy edge detection method was tested with benchmark images and synthetic images. We used the merit of Pratt measure to illustrate the advantages of the use of generalized type-2 fuzzy logic.