DocumentCode
2296111
Title
On lattice-isomorphism between fuzzy equivalence relations and fuzzy partitions
Author
Schmechel, Norbert
Author_Institution
Dept. of Comput. Sci. 1, Dortmund Univ., Germany
fYear
1995
fDate
23-25 May 1995
Firstpage
146
Lastpage
151
Abstract
We present our results concerning the fact that fuzzy equivalence relations and fuzzy partitions together with appropriate partial orderings form lattices and that these lattices are isomorphic. In our investigation we apply the results of H. Thiele, N. Schmechel (1995) concerning the definitions of fuzzy equivalence relations, fuzzy partitions and the existence of a bijection between them. We show that this bijection is a lattice isomorphism
Keywords
equivalence classes; fuzzy set theory; lattice theory; pattern recognition; bijection; cluster analysis; fuzzy equivalence relations; fuzzy partitions; lattice isomorphism; lattice-isomorphism; partial orderings; Computer science; Fuzzy set theory; Fuzzy sets; Lattices;
fLanguage
English
Publisher
ieee
Conference_Titel
Multiple-Valued Logic, 1995. Proceedings., 25th International Symposium on
Conference_Location
Bloomington, IN
ISSN
0195-623X
Print_ISBN
0-8186-7118-1
Type
conf
DOI
10.1109/ISMVL.1995.513523
Filename
513523
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