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

Author

Gonzalez, Claudia I. ; Castro, Juan R. ; Martinez, Gabriela E. ; Melin, Patricia ; Castillo, Oscar

Author_Institution

Sch. of Eng., Univ. of Baja California, Tijuana, Mexico

fYear

2013

fDate

24-28 June 2013

Firstpage

424

Lastpage

429

Abstract

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.

Keywords

edge detection; fuzzy logic; fuzzy reasoning; gradient methods; GT2FIS; IT2FIS; Pratt measure; T1FIS; alpha planes; benchmark images; defuzzification; generalized type-2 fuzzy logic; interval type-2 fuzzy inference system; morphological gradient technique; synthetic images; type-1 fuzzy inference system; type-2 fuzzy edge detection method; Detectors; Fuzzy logic; Fuzzy systems; Gaussian noise; Image edge detection; Uncertainty; alpha planes theory; edge detection; generalized type-2 fuzzy logic; image processing;

fLanguage

English

Publisher

ieee

Conference_Titel

IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint

Conference_Location

Edmonton, AB

Type

conf

DOI

10.1109/IFSA-NAFIPS.2013.6608438

Filename

6608438