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Article type: Research Article
Authors: Kim, Kyoungok*
Affiliations: Information Technology Management Programme, International Fusion School, Seoul National University of Science & Technology (SeoulTech), Seoul, Republic of Korea
Correspondence: [*] Corresponding author. Kyoungok Kim, Information Technology Management Programme, International Fusion School, Seoul National University of Science & Technology (SeoulTech), 232 Gongreungno, Nowon-gu, Seoul 139-743, Republic of Korea. Tel.: +82 2 970 7286; Fax: +82 2 974 2849; E-mail: kyoungok.kim@seoultech.ac.kr.
Abstract: Partitioning a set of objects into groups or clusters is a fundamental task in data mining, and clustering is a popular approach to implementing partitioning. Among several clustering algorithms, the k-means algorithm is well-known and widely applied in several areas that only handle numerical attributes. The k-modes algorithm is an extension of the k-means algorithm that deals with categorical variables, which has several variations such as fuzzy methods. This paper presents a new attribute weighting method for the k-modes algorithm that utilizes impurity measures such as entropy and Gini impurity. The proposed algorithm considers both the distribution of categories of attributes within the same cluster and between different clusters. By doing this, categorical variables defined as more important that others by the new algorithm have a significant influence on the similarity calculation, and this results in improved clustering performance, which was confirmed by experiments.
Keywords: k-modes clustering, fuzzy k-modes clustering, weighted k-modes clustering, fuzzy weighted k-modes clustering
DOI: 10.3233/JIFS-16157
Journal: Journal of Intelligent & Fuzzy Systems, vol. 32, no. 1, pp. 979-990, 2017
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