PMID- 22870181 OWN - NLM STAT- MEDLINE DCOM- 20130117 LR - 20211021 IS - 1932-6203 (Electronic) IS - 1932-6203 (Linking) VI - 7 IP - 7 DP - 2012 TI - A multicriteria decision making approach for estimating the number of clusters in a data set. PG - e41713 LID - 10.1371/journal.pone.0041713 [doi] LID - e41713 AB - Determining the number of clusters in a data set is an essential yet difficult step in cluster analysis. Since this task involves more than one criterion, it can be modeled as a multiple criteria decision making (MCDM) problem. This paper proposes a multiple criteria decision making (MCDM)-based approach to estimate the number of clusters for a given data set. In this approach, MCDM methods consider different numbers of clusters as alternatives and the outputs of any clustering algorithm on validity measures as criteria. The proposed method is examined by an experimental study using three MCDM methods, the well-known clustering algorithm--k-means, ten relative measures, and fifteen public-domain UCI machine learning data sets. The results show that MCDM methods work fairly well in estimating the number of clusters in the data and outperform the ten relative measures considered in the study. FAU - Peng, Yi AU - Peng Y AD - School of Management and Economics, University of Electronic Science and Technology of China, Chengdu, Sichuan, China. FAU - Zhang, Yong AU - Zhang Y FAU - Kou, Gang AU - Kou G FAU - Shi, Yong AU - Shi Y LA - eng PT - Journal Article PT - Research Support, Non-U.S. Gov't DEP - 20120727 PL - United States TA - PLoS One JT - PloS one JID - 101285081 SB - IM MH - Algorithms MH - Artificial Intelligence MH - Cluster Analysis MH - *Decision Making PMC - PMC3411440 COIS- Competing Interests: The authors have declared that no competing interests exist. EDAT- 2012/08/08 06:00 MHDA- 2013/01/18 06:00 PMCR- 2012/07/27 CRDT- 2012/08/08 06:00 PHST- 2012/04/01 00:00 [received] PHST- 2012/06/27 00:00 [accepted] PHST- 2012/08/08 06:00 [entrez] PHST- 2012/08/08 06:00 [pubmed] PHST- 2013/01/18 06:00 [medline] PHST- 2012/07/27 00:00 [pmc-release] AID - PONE-D-12-09622 [pii] AID - 10.1371/journal.pone.0041713 [doi] PST - ppublish SO - PLoS One. 2012;7(7):e41713. doi: 10.1371/journal.pone.0041713. Epub 2012 Jul 27.