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Javadian, M., Vaziri, R., Haghzad Klidbary, S., Malekzadeh, A.. (1399). Refining membership degrees obtained from fuzzy C-means by re-fuzzification. نشریه علمی دانشگاه سیستان و بلوچستان, 17(4), 85-104. doi: 10.22111/ijfs.2020.5408
M. Javadian; R. Vaziri; S. Haghzad Klidbary; A. Malekzadeh. "Refining membership degrees obtained from fuzzy C-means by re-fuzzification". نشریه علمی دانشگاه سیستان و بلوچستان, 17, 4, 1399, 85-104. doi: 10.22111/ijfs.2020.5408
Javadian, M., Vaziri, R., Haghzad Klidbary, S., Malekzadeh, A.. (1399). 'Refining membership degrees obtained from fuzzy C-means by re-fuzzification', نشریه علمی دانشگاه سیستان و بلوچستان, 17(4), pp. 85-104. doi: 10.22111/ijfs.2020.5408
Javadian, M., Vaziri, R., Haghzad Klidbary, S., Malekzadeh, A.. Refining membership degrees obtained from fuzzy C-means by re-fuzzification. نشریه علمی دانشگاه سیستان و بلوچستان, 1399; 17(4): 85-104. doi: 10.22111/ijfs.2020.5408

Refining membership degrees obtained from fuzzy C-means by re-fuzzification

Iranian Journal of Fuzzy Systems
دوره 17، شماره 4، مهر و آبان 2020، صفحه 85-104    اصل مقاله (3.39 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2020.5408
نویسندگان
M. Javadian* 1؛ R. Vaziri2؛ S. Haghzad Klidbary3؛ A. Malekzadeh4
1Department of Computer Engineering, Faculty of Information Technology, Kermanshah University of Technology, Kermanshah, Iran
2Islamic Azad University Central Tehran Branch, Tehran, Iran
3Department of Computer Engineering, Faculty of Engineering, University of Zanjan, Zanjan, Iran
4Department of Computer Science and Statistics, Faculty of Mathematics, K.N. Toosi University of Technology, Tehran, Iran
چکیده
Fuzzy C-mean (FCM) is the most well-known and widely-used fuzzy clustering algorithm. However, one of the weaknesses of the FCM is the way it assigns membership degrees to data which is based on the distance to the cluster centers. Unfortunately, the membership degrees are determined without considering the shape and density of the clusters. In this paper, we propose an algorithm which takes the FCM clustering results and re-fuzzifies them by taking into account the shape and density of the clusters. The algorithm first defuzzifies the FCM clustering results. Then the crisp result is fuzzified again. Re-fuzzification in our algorithm has some advantages. The main advantage is that the fuzzy membership degrees of data points are obtained based on the shape and density of clusters. Adding the ability to eliminate noise and outlier data is the other advantage of our algorithm. Finally, our proposed re-fuzzification algorithm can slightly improve the FCM clustering quality, because the data points change their clusters according to similarity to the shape and density of their respective clusters. These advantages are supported by simulations on real and synthetic datasets.
کلیدواژه‌ها
Fuzzy C-means؛ FCM؛ re-fuzzification؛ F3CM؛ fuzzified FCM؛ fuzzy clustering؛ KFCM
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