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

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JAVADIAN M.; VAZIRI R.; Haghzad Klidbary s.; MALEKZADEH A.

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Journal: Iranian Journal of Fuzzy Systems Year:2020 | Volume:17 | Issue:4 Page(s): 85-104

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Title

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

Author(s)

JAVADIAN M. | VAZIRI R. | Haghzad Klidbary s. | MALEKZADEH A. | Issue Writer Certificate

Keywords

Fuzzy C-meansQ2

FCMQ2

re-fuzzificationQ2

F3CMQ2

fuzzified FCMQ2

fuzzy clusteringQ2

KFCMQ2

Abstract

Fuzzy C-mean (FCM) is the most well-known and widely-used fuzzy clustering algorithm. However, one of the weak-nesses 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 fuzzifled 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.

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APA: Copy

JAVADIAN, M., VAZIRI, R., Haghzad Klidbary, s., & MALEKZADEH, A.. (2020). Refining membership degrees obtained from fuzzy C-means by re-fuzzification. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(4 ), 85-104. SID. https://sid.ir/paper/392309/en

Vancouver: Copy

JAVADIAN M., VAZIRI R., Haghzad Klidbary s., MALEKZADEH A.. Refining membership degrees obtained from fuzzy C-means by re-fuzzification. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(4 ):85-104. Available from: https://sid.ir/paper/392309/en

IEEE: Copy

M. JAVADIAN, R. VAZIRI, s. Haghzad Klidbary, and A. MALEKZADEH, “Refining membership degrees obtained from fuzzy C-means by re-fuzzification,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 4 , pp. 85–104, 2020, [Online]. Available: https://sid.ir/paper/392309/en

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