MODIFIED POSSIBILISTIC FUZZY C-MEANS ALGORITHM FOR CLUSTERING INCOMPLETE DATA SETS

Rustam; Koredianto Usman; Mudyawati Kamaruddin; Dina Chamidah; Nopendri; Khaerudin Saleh; Yulinda Eliskar; Ismail Marzuki

doi:10.14311/AP.2021.61.0364

Authors

Rustam Telkom University, School of Electrical Engineering, Department of Telecommunication Engineering, Jl. Telekomunikasi No.1 Dayeuh Kolot, 40257 Kabupaten Bandung, Jawa Barat, Indonesia https://orcid.org/0000-0001-8331-5793
Koredianto Usman Telkom University, School of Electrical Engineering, Department of Telecommunication Engineering, Jl. Telekomunikasi No.1 Dayeuh Kolot, 40257 Kabupaten Bandung, Jawa Barat, Indonesia https://orcid.org/0000-0002-5228-1348
Mudyawati Kamaruddin Universitas Muhammadiyah Semarang, Faculty of Health Sciences, Semarang, Jawa Tengah, Indonesia https://orcid.org/0000-0001-6932-1150
Dina Chamidah Universitas Wijaya Kusuma Surabaya, Faculty of Language and Science, Department of Biology Education, Surabaya, Jawa Timur, Indonesia https://orcid.org/0000-0001-9353-456X
Nopendri Telkom University, School of Industrial Engineering, Department of Industrial Engineering, Jawa Barat, Indonesia https://orcid.org/0000-0001-9641-677X
Khaerudin Saleh Telkom University, School of Electrical Engineering, Department of Telecommunication Engineering, Jl. Telekomunikasi No.1 Dayeuh Kolot, 40257 Kabupaten Bandung, Jawa Barat, Indonesia https://orcid.org/0000-0002-2688-070X
Yulinda Eliskar Telkom University, School of Electrical Engineering, Department of Telecommunication Engineering, Jl. Telekomunikasi No.1 Dayeuh Kolot, 40257 Kabupaten Bandung, Jawa Barat, Indonesia https://orcid.org/0000-0002-7698-1445
Ismail Marzuki Fajar University, Department of Chemical Engineering, Makassar, Sulawesi Selatan, Indonesia https://orcid.org/0000-0003-3316-0484

DOI:

https://doi.org/10.14311/AP.2021.61.0364

Keywords:

Incomplete data, fuzzy clustering, possibilistic clustering, missing values imputation.

Abstract

A possibilistic fuzzy c-means (PFCM) algorithm is a reliable algorithm proposed to deal with the weaknesses associated with handling noise sensitivity and coincidence clusters in fuzzy c-means (FCM) and possibilistic c-means (PCM). However, the PFCM algorithm is only applicable to complete data sets. Therefore, this research modified the PFCM for clustering incomplete data sets to OCSPFCM and NPSPFCM with the performance evaluated based on three aspects, 1) accuracy percentage, 2) the number of iterations, and 3) centroid errors. The results showed that the NPSPFCM outperforms the OCSPFCM with missing values ranging from 5% − 30% for all experimental data sets. Furthermore, both algorithms provide average accuracies between 97.75%−78.98% and 98.86%−92.49%, respectively.

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