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.
@article{107852, author = {Libor \v Z\'ak}, title = {Clustering of vaguely defined objects}, journal = {Archivum Mathematicum}, volume = {039}, year = {2003}, pages = {37-50}, zbl = {1122.62319}, mrnumber = {1982210}, language = {en}, url = {http://dml.mathdoc.fr/item/107852} }
Žák, Libor. Clustering of vaguely defined objects. Archivum Mathematicum, Tome 039 (2003) pp. 37-50. http://gdmltest.u-ga.fr/item/107852/
Cluster Analysis for Applications, Academic Press, New York, 1973. (1973) | MR 0326934 | Zbl 0299.62029
Pattern Recognition with Fuzzy Objective Function Alghorithms, Plenium Press, New York, 1981. (1981) | MR 0631231
Clustering Analysis, In FU K. S. Digital Pattern Recognition, Springer-Verlag, New York (1980), 47–92. (1980)
Fuzzy Sets and Systems. Theory and Application, Academic Press, New York, 1980. (1980) | MR 0589341
Properties of Certain Class of Fuzzy Numbers, Proc. $8^{th}$ Zittau Fuzzy Colloquium, Zittau (2000), 42–52, ISBN 3-00-006723-X.
Fuzzy Sets and Fuzzy Logic. Theory and Applications, Prentice Hall PTR, New Jersey, 1995. (1995) | MR 1329731 | Zbl 0915.03001
Methods of Clustering Analysis, SNTL Praha, 1985 (in Czech). (1985)
Interval Analysis, Prentice-Hall, New Jersey, 1966. (1966) | MR 0231516 | Zbl 0176.13301
Fuzzy Sets and its Applications, SNTL Praha, 1986 (in Czech). (1986)
Cluster Dissection and Analysis, Ellis Horwood, 1985. (1985) | Zbl 0584.62094
Fuzzy Sets and Their Application to Pattern Classification and Cluster Analysis, In Classification and Clustering, Academic Press, New York, 1977. (1977) | MR 0483813
Fuzzy Clustering, Proc. Fuzzy logika - od metodiky k aplikacím, Hrubá Skála (1998), 81–87, (in Czech). (1998)
Clustering of Fuzzy Objects 1, Proc. Mendel 1999, $5^{th}$ International Conference on Soft Computing, Brno (1999), 310–317, ISBN 80-214-1131-7. (1999)
Clustering and Fuzzy Objects, Proc. Fuzzy logika - fuzzy logika, neuronové sítě a expertní systémy, Hrubá Skála (1999), 51–58, (in Czech). (1999)
Clustering of Fuzzy Objects 2, . Proc. Mendel 2000, $6^{th}$ International Conference on Soft Computing, Brno (2000), 310–317, ISBN 80-214-1131-7.
Fuzzy Objects and Fuzzy Clustering, Proc. $8^{th}$ Zittau Fuzzy Colloquium, Zittau (2000), 293–302, ISBN 3-00-006723-X.
Generalization Fuzzy Clustering for Fuzzy Objects, Proc. Inteligentní systémy pro praxi, Luhačovice (2000), 59–68, ISBN 80-238-6140-9 (in Czech).
Clustering of vaguely defined objects, PhD Thesis, Technical University, Brno, 2002, ISSN 1213-4198 (in Czech). | MR 1982210 | Zbl 1122.62319