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An Intuitionistic Fuzzy Clustering Approach for Detection of Abnormal Regions in Mammogram Images

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Abstract

Breast cancer is one of the leading causes of mortality in the world and it occurs in high frequency among women that carries away many lives. To detect cancer, extraction or segmentation of lesions/tumors is required. Segmentation process is very crucial if the mammogram images are blurred or low contrast. This paper suggests a novel clustering approach for segmenting lesions/tumors in the mammogram images using Atanassov’s intuitionistic fuzzy set theory. The algorithm initially converts an image to an intuitionistic fuzzy image using a novel intuitionistic fuzzy generator. From the intuitionistic fuzzy image, two membership intervals are computed. Then, using Zadeh’s min t-conorm, a new membership function is computed. Using the new membership function, an interval type 2 fuzzy image is constructed. Two types of distance functions are used in clustering—intuitionistic fuzzy divergence and a fuzzy exponential type distance function. Further, in each iteration, membership matrix is updated using a hesitation degree and a clustered image is obtained. Tumors/lesions are then segmented from the clustered image. The proposed method is compared with existing methods both quantitatively and qualitatively and it is observed that the proposed method performs better than the existing methods.

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Acknowledgements

The author would like to acknowledge the editor and anonymous reviewers for their valuable comments in improving the quality of the manuscript.

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  1. Aravali Pharma and Lifesciences, New Delhi, 110075, India

    Tamalika Chaira

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  1. Tamalika Chaira
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Correspondence to Tamalika Chaira.

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Chaira, T. An Intuitionistic Fuzzy Clustering Approach for Detection of Abnormal Regions in Mammogram Images. J Digit Imaging 34, 428–439 (2021). https://doi.org/10.1007/s10278-021-00444-3

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