Edge-Detection Method for Image Processing Based on Generalized Type-2 Fuzzy Logic

Author

Melin, Patricia ; Gonzalez, Claudia I. ; Castro, Juan R. ; Mendoza, Olivia ; Castillo, Oscar

Author_Institution

Div. of Grad. Studies, Tijuana Inst. of Technol., Tijuana, Mexico

Volume

22

Issue

6

fYear

2014

fDate

Dec. 2014

Firstpage

1515

Lastpage

1525

Abstract

This paper presents an edge-detection method that is based on the morphological gradient technique and generalized type-2 fuzzy logic. The theory of alpha planes is used to implement generalized type-2 fuzzy logic for edge detection. For the defuzzification process, the heights and approximation methods are used. Simulation results with a type-1 fuzzy inference system, an interval type-2 fuzzy inference system, and with a generalized type-2 fuzzy inference system for edge detection are presented. The proposed generalized 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 using generalized type-2 fuzzy logic.

Keywords

approximation theory; edge detection; fuzzy logic; fuzzy reasoning; approximation methods; defuzzification process; edge detection method; generalized type-two fuzzy logic; image processing; interval type-two fuzzy inference system; morphological gradient technique; type-one fuzzy inference system; Detectors; Fuzzy logic; Fuzzy systems; Image edge detection; Pragmatics; Uncertainty; Alpha planes representation; edge detection; generalized type-2 fuzzy logic; image processing;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/TFUZZ.2013.2297159

Filename

6698367