A thresholding method based on interval-valued intuitionistic fuzzy sets: an application to image segmentation

Ananthi, V.P. and Balasubramaniam, Pagavathi and Paramesran, Raveendran (2018) A thresholding method based on interval-valued intuitionistic fuzzy sets: an application to image segmentation. Pattern Analysis and Applications, 21 (4). pp. 1039-1051. ISSN 1433-7541, DOI https://doi.org/10.1007/s10044-017-0622-y.

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Official URL: https://doi.org/10.1007/s10044-017-0622-y

Abstract

This paper proposes a new fuzzy approach for the segmentation of images. L-interval-valued intuitionistic fuzzy sets (IVIFSs) are constructed from two L-fuzzy sets that corresponds to the foreground (object) and the background of an image. Here, L denotes the number of gray levels in the image. The length of the membership interval of IVIFS quantifies the influence of the ignorance in the construction of the membership function. Threshold for an image is chosen by finding an IVIFS with least entropy. Contributions also include a comparative study with ten other image segmentation techniques. The results obtained by each method have been systematically evaluated using well-known measures for judging the segmentation quality. The proposed method has globally shown better results in all these segmentation quality measures. Experiments also show that the results acquired from the proposed method are highly correlated to the ground truth images.

Item Type: Article
Funders: UGC-BSR-Research fellowship in Mathematical Sciences—2013–2014, Engineering Faculty of the University of Malaya under Grant No. UM.C/625/1/HIR/MOHE/ENG/42
Uncontrolled Keywords: Entropy; Hesitation degree; Image thresholding; Intuitionistic fuzzy set
Subjects: Q Science > QA Mathematics
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: Faculty of Engineering
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 20 Sep 2019 06:21
Last Modified: 20 Sep 2019 06:21
URI: http://eprints.um.edu.my/id/eprint/22476

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