Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

An Application of PSO-Based Intuitionistic Fuzzy Clustering to Medical Datasets


Affiliations
1 School of Computer Technology and Applications, Kongu Engineering College, India
2 Department of Computer Science, NKR Government Arts College for Women, India
     

   Subscribe/Renew Journal


Clustering is the process of splitting data into several groups based on the characteristics of data. Fuzzy clustering assigns a data object to various clusters based on different membership values. In medical field, the diagnosis of the disease has to be done without faults and in an earlier time without any delay. So, there is a need to represent imprecise nature of the data. To represent vague data in a clear manner, Intuitionistic fuzzy set introduces a parameter called hesitancy degree. In case of Intuitionistic fuzzy clustering, this indicates that the user is not aware whether the object belongs to or not belongs to a cluster. In such a case, hesitancy can very well represent the inherent noise in the data or the ignorance of the user that is given by the state ‘may be’. All clustering algorithms choose the initial seed in a random fashion. But, this creates a serious impact on the convergence of the algorithm and the clustering algorithms tend to fall into local minima. This work utilizes Intuitionistic fuzzy Particle Swarm Optimization to initialize the centroids for the Intuitionistic fuzzy clustering algorithm. The algorithm is executed over medical datasets from UCI repository and the results indicate that optimal clusters are achieved. The proposed method performs well when compared with IFCM and FCM-PSO.

Keywords

Clustering, Intuitionistic Fuzzy Set, Particle Swarm Optimization, Inertia Weight, Lambda Value.
Subscription Login to verify subscription
User
Notifications
Font Size

  • J.C. Bezdek, R. Ehrlich and W. Full, “FCM: The Fuzzy C-means Clustering Algorithm”, Computers and Geosciences, Vol. 10, No. 2-3, pp. 191-203, 1984.
  • J. Kennedy and R. Eberhart, “Particle Swarm Optimization”, Proceedings of IEEE International Conference Proceedings on Neural Networks, pp. 1942-1948, 1995.
  • V. Kumutha and S. Palaniammal, “Improved Fuzzy Clustering Method Based On Intuitionistic Fuzzy Particle Swarm Optimization”, Journal of Theoretical and Applied Information Technology, Vol. 62, No. 1, pp. 8-15, 2014.
  • S.J. Nanda and G. Panda, “A Survey on Nature Inspired Metaheuristic Algorithms for Partitional Clustering”, Swarm and Evolutionary Computation, Vol. 16, pp. 1-18, 2014.
  • D. Binu, “Cluster Analysis using Optimization Algorithms with Newly Designed Objective Functions”, Expert Systems with Applications, Vol. 42, No. 14, pp. 5848-5859, 2015.
  • H. Izakian and A. Abraham, “Fuzzy C-means and Fuzzy Swarm for Fuzzy Clustering Problem”, Expert Systems with Applications, Vol. 38, No. 3, pp. 1835-1838, 2011.
  • A.N. Benaichouche, H. Oulhadj and P. Siarry, “Improved Spatial Fuzzy C-means Clustering for Image Segmentation using PSO Initialization, Mahalanobis Distance and Post-Segmentation Correction”, Digital Signal Processing, Vol. 23, No. 5, pp. 1390-1400, 2013.
  • Z. Izakian, M.S. Mesgari and A. Abraham, “Automated Clustering of Trajectory Data using a Particle Swarm Optimization”, Computers, Environment and Urban Systems, Vol. 55, pp. 55-65, 2016.
  • J.L. Salmeron, S.A. Rahimi, A.M. Navali and A. Sadeghpour, “Medical diagnosis of Rheumatoid Arthritis using data driven PSO-FCM with Scarce Datasets”, Neurocomputing, Vol. 232, pp. 104-112, 2017.
  • A. Saxena et al., “A Review of Clustering Techniques and Developments”, Neurocomputing, Vol. 267, pp. 664-681, 2017.
  • D. Hein, A. Hentschel, T. Runkler and S. Udluft, “Particle Swarm Optimization for Generating Interpretable Fuzzy Reinforcement Learning Policies”, Engineering Applications of Artificial Intelligence, Vol. 65, pp. 87-98, 2017.
  • J. Valente De Oliveira, A. Szabo and L.N. De Castro, “Particle Swarm Clustering in Clustering Ensembles”, Applied Soft Computing, Vol. 55, pp. 141-153, 2017.
  • Marco S. Nobile et al., “Fuzzy Self-Tuning PSO: A Settings-Free Algorithm for Global Optimization”, Swarm and Evolutionary Computation, 2017.
  • T.M. Silva Filho, B.A. Pimentel, R.M. Souza and A.L. Oliveira, “Hybrid methods for Fuzzy Clustering based on Fuzzy C-means and Improved Particle Swarm Optimization”, Expert Systems with Applications, Vol. 42, No. 17, pp. 6315-6328, 2015.
  • A. Mekhmoukh, and K. Mokrani, “Improved Fuzzy C-Means based Particle Swarm Optimization (PSO) Initialization and Outlier Rejection with Level Set methods for MR Brain Image Segmentation”, Computer Methods and Programs in Biomedicine, Vol. 122, No. 2, pp. 266-281, 2015.
  • T. Chaira, “A Novel Intuitionistic Fuzzy C means Clustering Algorithm and its Application to Medical Images”, Applied Soft Computing, Vol. 11, No. 2, pp. 1711-1717, 2011.
  • S. Shanthi and V.M. Bhaskaran, “Intuitionistic Fuzzy C-means and Decision Tree Approach for Breast Cancer Detection and Classification”, European Journal of Scientific Research, Vol. 66, No. 3, pp. 345-351, 2011.
  • T. Chaira and S. Anand. “A Novel Intuitionistic Fuzzy Approach for Tumour/Hemorrhage Detection in Medical Images”, Journal of Scientific and Industrial Research, Vol. 70, No. 6, pp. 427-434, 2011.
  • Z. Xu and J. Wu, “Intuitionistic Fuzzy C-means Clustering Algorithms”, Journal of Systems Engineering and Electronics, Vol. 21, No. 4, pp. 580-590, 2010.
  • P. Kaur, A.K. Soni and A. Gosain, “Robust Intuitionistic Fuzzy C-means Clustering for Linearly and Nonlinearly Separable Data”, Proceedings of IEEE International Conference on Image Information Processing, pp. 1-6, 2011.
  • R. Bhargava et al., “Rough Intuitionistic Fuzzy C-means Algorithm and A Comparative Analysis”, Proceedings of 6th ACM India Computing Convention, pp. 1-23, 2013.
  • P. Balasubramaniam, and V.P. Ananthi, “Segmentation of Nutrient Deficiency in Incomplete Crop Images using Intuitionistic Fuzzy C-means Clustering Algorithm”, Nonlinear Dynamics, Vol. 83, No. 1-2, pp. 849-866, 2016.
  • V.P. Ananthi, P. Balasubramaniam, and C.P. Lim, “Segmentation of Gray Scale Image based on Intuitionistic Fuzzy sets Constructed from Several Membership Functions”, Pattern Recognition, Vol. 47, No. 12, pp. 3870-3880, 2014.
  • S. Parvathavarthini, N. Karthikeyani, S. Shanthi, and J M Mohan, “Cuckoo-Search based Intuitionistic Fuzzy Clustering Algorithm”, Asian Journal of Research in Social Sciences and Humanities, Vol. 7, No. 2, pp. 289-299, 2017.
  • S. Parvathavarthini, N. Karthikeyani, S. Shanthi, and K. Lakshmi, “Crow-Search-Based Intuitionistic Fuzzy C-Means Clustering Algorithm”, Developments and Trends in Intelligent Technologies and Smart Systems, pp. 1- 22, 2017.
  • N.K. Visalakshi, S. Parvathavarthini and K. Thangavel, “An Intuitionistic Fuzzy Approach to Fuzzy Clustering of Numerical Dataset”, Proceedings of International Conference on Computational Intelligence, Cyber Security and Computational Models, pp. 79-87, 2014.
  • L.A. Zadeh, “Fuzzy Sets”, Information and control, Vol. 8, No. 3, pp. 338-353, 1965.
  • K.T. Atanassov, “Intuitionistic Fuzzy Sets: Past, Present and Future”, Proceedings of 3rd Conference of the European Society for Fuzzy Logic and Technology, pp. 12-19, 2003.
  • I.K. Vlachos and G.D. Sergiadis, “The Role of Entropy in Intuitionistic Fuzzy Contrast Enhancement”, Proceedings of International Fuzzy Systems Association World Congress, pp. 104-113, 2007.
  • Russell C. Eberhart, Yuhui Shi and James Kennedy, “Swarm Intelligence”, 1st Edition, Morgan Kaufmann, 2001.
  • A. Asuncion and D.J. Newman, “UCI Repository of Machine Learning Databases”, Ph.D. Dissertation, University of California, 2007.
  • M. Halkidi, Y. Batistakis and M. Vazirgiannis, “Cluster Validity Methods: part I”, ACM SIGMOD Record, Vol. 31, No. 2, pp. 40-45, 2002.
  • J. C. Dunn, “Well-Separated Clusters and Optimal Fuzzy Partitions”, Journal of Cybernetics, Vol. 4, No. 1, pp. 95-104, 1974.
  • C.J. Van Rijsbergen, “Information Retrieval”, Ph.D. Dissertation, Department of Computer Science, University of Glasgow, 1979.

Abstract Views: 437

PDF Views: 4




  • An Application of PSO-Based Intuitionistic Fuzzy Clustering to Medical Datasets

Abstract Views: 437  |  PDF Views: 4

Authors

S. Parvathavarthini
School of Computer Technology and Applications, Kongu Engineering College, India
N. Karthikeyani Visalakshi
Department of Computer Science, NKR Government Arts College for Women, India
S. Shanthi
School of Computer Technology and Applications, Kongu Engineering College, India
K. Lakshmi
School of Computer Technology and Applications, Kongu Engineering College, India

Abstract


Clustering is the process of splitting data into several groups based on the characteristics of data. Fuzzy clustering assigns a data object to various clusters based on different membership values. In medical field, the diagnosis of the disease has to be done without faults and in an earlier time without any delay. So, there is a need to represent imprecise nature of the data. To represent vague data in a clear manner, Intuitionistic fuzzy set introduces a parameter called hesitancy degree. In case of Intuitionistic fuzzy clustering, this indicates that the user is not aware whether the object belongs to or not belongs to a cluster. In such a case, hesitancy can very well represent the inherent noise in the data or the ignorance of the user that is given by the state ‘may be’. All clustering algorithms choose the initial seed in a random fashion. But, this creates a serious impact on the convergence of the algorithm and the clustering algorithms tend to fall into local minima. This work utilizes Intuitionistic fuzzy Particle Swarm Optimization to initialize the centroids for the Intuitionistic fuzzy clustering algorithm. The algorithm is executed over medical datasets from UCI repository and the results indicate that optimal clusters are achieved. The proposed method performs well when compared with IFCM and FCM-PSO.

Keywords


Clustering, Intuitionistic Fuzzy Set, Particle Swarm Optimization, Inertia Weight, Lambda Value.

References