New submissions to International Journal "Notes on Intuitionistic Fuzzy Sets" are temporarily suspended from 1 June until 1 September 2026.
Read here the full announcement.

Open Call for Papers: 29th International Conference on Intuitionistic Fuzzy Sets • 6–7 November 2026 • Sofia, Bulgaria / Online
NEW EXTENDED deadline for submissions: 15 AUGUST 2026.

Issue:Effects of fuzzy and advanced fuzzy sets in mammogram image clustering

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
(Redirected from Issue:Nifs/32/2/163-175)
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/32/2/163-175
Title of paper: Effects of fuzzy and advanced fuzzy sets in mammogram image clustering
Author(s):
Tamalika Chaira     0000-0002-8839-0423
Department of Computer Science and Engineering, South Asian University, Maidan Garhi, New Delhi, India
tchaira@yahoo.com
Rita Chhikara     0000-0001-9537-3907
Department of Computer Science and Engineering, South Asian University, Maidan Garhi, New Delhi, India
ritachhikara@ncuindia.edu
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 2, pages 163–175
DOI: https://doi.org/10.7546/nifs.2026.32.2.163-175
Download:  PDF (881  Kb, File info)
Abstract: Breast cancer is one of the leading causes of death in the world among women. Early detection of breast masses may increase the survival rate and so automated techniques are suggested by researchers across the globe. Mammogram images are vague and many of the patterns are not visible clearly, thereby making it difficult to distinguish them using traditional crisp classification methods. So, segmentation of mammogram images remains a complex task and is necessary before moving for classification. Fuzzy/advanced fuzzy methods consider uncertainty in an image and so these sets can deal with uncertainty in medical images in an efficient manner. This paper presents the effect of using fuzzy, intuitionistic fuzzy set, Interval-type2 fuzzy set and intuitionistic fuzzy set of second type on segmenting lesions in mammogram images. Quantitative and qualitative analysis reveals that segmentation error is more on using fuzzy sets where only one uncertainty, which is membership function, is considered. Experimental results show that though intuitionistic fuzzy set, Interval-type2 fuzzy set performs well, intuitionistic fuzzy set of second type performs better than the other sets.
Keywords: Intuitionistic fuzzy set, Intuitionistic fuzzy set of second type, Interval valued type-2 fuzzy set, Intuitionistic fuzzy entropy, Clustering.
AMS Classification: 03E72, 03B20, 68U10, 62H30.
References:
  1. Aruna Kumar, S. V., & Harish, B. S. (2018). A modified intuitionistic fuzzy clustering algorithm for medical image segmentation. Journal of Intelligent Systems, 27(4), 593–607.
  2. Atanassov, K. (1989). Geometrical interpretation of the elements of the intuitionistic fuzzy objects. Preprint IM-MFAIS-1-89, Sofia, 1989. Reprinted: International Journal Bioautomation, 2016, 20(S1), S27–S42.
  3. Atanassov, K. (1993). A second type of intuitionistic fuzzy sets. BUSEFAL, 56, 66–70.
  4. Atanassov, K. (1993). Relations between both types of intuitionistic fuzzy sets. BUSEFAL, 56, 71–72.
  5. Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Series in Fuzziness and Soft Computing, Vol. 35, Springer Physica-Verlag, Heidelberg.
  6. Bezdek, J. C., Hall, L. O., & Clark, L. P. (1993). Review of MR segmentation techniques using pattern recognition. Medical Physics, 20(4), 1033–1048.
  7. Chaira, T. (2011). A novel intuitionistic fuzzy C means clustering algorithm and its application to medical images. Applied Soft Computing, 11(2), 1711–1717.
  8. Chaira, T. (2012). Intuitionistic fuzzy color clustering of human cell images on different color models. Journal of Intelligent & Fuzzy Systems, 23 (2–3), 43–51.
  9. Chaira, T. (2021). An intuitionistic fuzzy clustering approach for detection of abnormal regions in mammogram images. Journal of Digital Imaging, 34(2), 428–439.
  10. Chaira, T., & Sarkar, A. (2024). Pythagorean fuzzy set for enhancement of low contrast mammogram images. International Journal of Imaging Systems and Technology, 34(4), Article ID e23137.
  11. Cherif, S., Baklouti, N., Hagras, H., & Alimi, A. M. (2022). Novel intuitionistic-based interval type-2 fuzzy similarity measures with application to clustering. IEEE Transactions on Fuzzy Systems, 30 (5), 1260–1271.
  12. Das, A., & Sabut, S. K. (2016). Kernelized fuzzy C-means clustering with adaptive thresholding for segmenting liver tumors. Procedia Computer Science, 92, 389–395.
  13. Ejegwa, P. A., & Adamu, I. M. (2019). Distances between intuitionistic fuzzy sets of second type with application to diagnostic medicine. Notes on Intuitionistic Fuzzy Sets, 25(3), 53–70.
  14. Kannan, S. R., Ramathilagam, S., Sathya, A., & Pandiyaraja, R. (2010). Effective fuzzy c-means based kernel function in segmenting medical images. Computers in Biology and Medicine, 40(6), 572–579.
  15. Mendel, J. M. (2014). General type-2 fuzzy logic systems made simple: A tutorial. IEEE Transactions on Fuzzy Systems, 22(5), 1162–1182.
  16. Own, C.-M. (2009). Switching between type-2 fuzzy sets and intuitionistic fuzzy sets: An application in medical diagnosis. Applied Intelligence, 31, 283–291.
  17. Premalatha, R., & Dhanalakshmi, P. (2022). Enhancement and segmentation of medical images through pythagorean fuzzy sets–An innovative approach. Neural Computing and Application, 34(14), 11553–11569.
  18. Rangasamy, P. (2006). Theory of Operators over Intuitionistic Fuzzy Sets of Second Type and Their Applications to Image Processing. PhD Thesis, Alagappa University, Karaikudi, India.
  19. Rangasamy, P., & Palaniappan, N. (2004). Some operations on intuitionistic fuzzy sets of second type. Notes on Intuitionistic Fuzzy Sets, 10(2), 1–19.
  20. Verma, H., Gupta, A., & Dhirendra, K. (2019). Modified intuitionistic fuzzy c-means algorithm incorporating hesitation degree. Pattern Recognition Letters, 122, 45–52.
  21. Zadeh, L. A. (1965). Fuzzy sets. Information & Control, 8, 338–353.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.