Previous |  Up |  Next

Article

Title: Clustering of vaguely defined objects (English)
Author: Žák, Libor
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 39
Issue: 1
Year: 2003
Pages: 37-50
Summary lang: English
.
Category: math
.
Summary: This paper is concerned with the clustering of objects whose properties cannot be described by exact data. These can only be described by fuzzy sets or by linguistic values of previously defined linguistic variables. To cluster these objects we use a generalization of classic clustering methods in which instead of similarity (dissimilarity) of objects, used fuzzy similarity (fuzzy dissimilarity) to define the clustering of fuzzy objects. (English)
Keyword: fuzzy sets
Keyword: extension principle
Keyword: clustering methods
Keyword: fuzzy clustering
MSC: 26E50
MSC: 62H30
MSC: 68T10
idZBL: Zbl 1122.62319
idMR: MR1982210
.
Date available: 2008-06-06T22:41:11Z
Last updated: 2012-05-10
Stable URL: http://hdl.handle.net/10338.dmlcz/107852
.
Reference: [1] Anderberg M. R.: Cluster Analysis for Applications.Academic Press, New York, 1973. Zbl 0299.62029, MR 0326934
Reference: [2] Bezdek J. C.: Pattern Recognition with Fuzzy Objective Function Alghorithms.Plenium Press, New York, 1981. MR 0631231
Reference: [3] Diday, E, Simon J. C.: Clustering Analysis.In FU K. S. Digital Pattern Recognition, Springer-Verlag, New York (1980), 47–92.
Reference: [4] Dubois D., Prade H.: Fuzzy Sets and Systems. Theory and Application.Academic Press, New York, 1980. MR 0589341
Reference: [5] Karpíšek Z., Pospíšek M., Slavíček K.: Properties of Certain Class of Fuzzy Numbers.Proc. $8^{th}$ Zittau Fuzzy Colloquium, Zittau (2000), 42–52, ISBN 3-00-006723-X.
Reference: [6] Klir G. J., Yuan B.: Fuzzy Sets and Fuzzy Logic. Theory and Applications.Prentice Hall PTR, New Jersey, 1995. Zbl 0915.03001, MR 1329731
Reference: [7] Lukasová A.- Šarmanová J.: Methods of Clustering Analysis.SNTL Praha, 1985 (in Czech).
Reference: [8] Moore R. E.: Interval Analysis.Prentice-Hall, New Jersey, 1966. Zbl 0176.13301, MR 0231516
Reference: [9] Novák V.: Fuzzy Sets and its Applications.SNTL Praha, 1986 (in Czech).
Reference: [10] Späth H.: Cluster Dissection and Analysis.Ellis Horwood, 1985. Zbl 0584.62094
Reference: [11] Zadeh L. A.: Fuzzy Sets and Their Application to Pattern Classification and Cluster Analysis.In Classification and Clustering, Academic Press, New York, 1977. MR 0483813
Reference: [12] Žák L.: Fuzzy Clustering.Proc. Fuzzy logika - od metodiky k aplikacím, Hrubá Skála (1998), 81–87, (in Czech).
Reference: [13] Žák L.: Clustering of Fuzzy Objects 1.Proc. Mendel 1999, $5^{th}$ International Conference on Soft Computing, Brno (1999), 310–317, ISBN 80-214-1131-7.
Reference: [14] Žák L.: Clustering and Fuzzy Objects.Proc. Fuzzy logika - fuzzy logika, neuronové sítě a expertní systémy, Hrubá Skála (1999), 51–58, (in Czech).
Reference: [15] Žák L.: Clustering of Fuzzy Objects 2.. Proc. Mendel 2000, $6^{th}$ International Conference on Soft Computing, Brno (2000), 310–317, ISBN 80-214-1131-7.
Reference: [16] Žák L.: Fuzzy Objects and Fuzzy Clustering.Proc. $8^{th}$ Zittau Fuzzy Colloquium, Zittau (2000), 293–302, ISBN 3-00-006723-X.
Reference: [17] Žák L.: Generalization Fuzzy Clustering for Fuzzy Objects.Proc. Inteligentní systémy pro praxi, Luhačovice (2000), 59–68, ISBN 80-238-6140-9 (in Czech).
Reference: [18] Žák L.: Clustering of vaguely defined objects.PhD Thesis, Technical University, Brno, 2002, ISSN 1213-4198 (in Czech). Zbl 1122.62319, MR 1982210
.

Files

Files Size Format View
ArchMathRetro_039-2003-1_4.pdf 307.8Kb application/pdf View/Open
Back to standard record
Partner of
EuDML logo