Fuzzy Clustering Using the Convex Hull as Geometrical Model
Joint Authors
Liparulo, Luca
Proietti, Andrea
Panella, Massimo
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-21
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
A new approach to fuzzy clustering is proposed in this paper.
It aims to relax some constraints imposed by known algorithms using a generalized geometrical model for clusters that is based on the convex hull computation.
A method is also proposed in order to determine suitable membership functions and hence to represent fuzzy clusters based on the adopted geometrical model.
The convex hull is not only used at the end of clustering analysis for the geometric data interpretation but also used during the fuzzy data partitioning within an online sequential procedure in order to calculate the membership function.
Consequently, a pure fuzzy clustering algorithm is obtained where clusters are fitted to the data distribution by means of the fuzzy membership of patterns to each cluster.
The numerical results reported in the paper show the validity and the efficacy of the proposed approach with respect to other well-known clustering algorithms.
American Psychological Association (APA)
Liparulo, Luca& Proietti, Andrea& Panella, Massimo. 2015. Fuzzy Clustering Using the Convex Hull as Geometrical Model. Advances in Fuzzy Systems،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1052422
Modern Language Association (MLA)
Liparulo, Luca…[et al.]. Fuzzy Clustering Using the Convex Hull as Geometrical Model. Advances in Fuzzy Systems No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1052422
American Medical Association (AMA)
Liparulo, Luca& Proietti, Andrea& Panella, Massimo. Fuzzy Clustering Using the Convex Hull as Geometrical Model. Advances in Fuzzy Systems. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1052422
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052422