Abstract
This paper introduces a new method of clustering algorithm based on interval-valued intuitionistic fuzzy sets (IVIFSs) generated from intuitionistic fuzzy sets to analyze tumor in magnetic resonance (MR) images by reducing time complexity and errors. Based on fuzzy clustering, during the segmentation process one can consider numerous cases of uncertainty involving in membership function, distance measure, fuzzifier, and so on. Due to poor illumination of medical images, uncertainty emerges in their gray levels. This paper concentrates on uncertainty in the allotment of values to the membership function of the uncertain pixels. Proposed method initially pre-processes the brain MR images to remove noise, standardize intensity, and extract brain region. Subsequently IVIFSs are constructed to utilize in the clustering algorithm. Results are compared with the segmented images obtained using histogram thresholding, k-means, fuzzy c-means, intuitionistic fuzzy c-means, and interval type-2 fuzzy c-means algorithms and it has been proven that the proposed method is more effective.
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Acknowledgments
This work was supported by UGC-BSR-Research fellowship in Mathematical Sciences—2013–2014. The authors wish to thank all the reviewers and associate editor for their fruitful comments and suggestions for significant improvement of the manuscript.
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Communicated by V. Loia.
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Ananthi, V.P., Balasubramaniam, P. & Kalaiselvi, T. A new fuzzy clustering algorithm for the segmentation of brain tumor. Soft Comput 20, 4859–4879 (2016). https://doi.org/10.1007/s00500-015-1775-5
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DOI: https://doi.org/10.1007/s00500-015-1775-5