The representation theorem for F-transitive fuzzy relations is used to prove that the set of reflexive, symmetric and F-transitive fuzzy relations on a set X, F being an Archimedian t-norm, is dense in the set of Z-transitive relations on X. It is also shown that any similarity relation can be represented as a limit of a sequence of transitive relations with respect to Archimedean t-norms.
Title
Representation of Fuzzy Symmetric Relations
Published
1986-03-19
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
CSD-87-331
Type
Text
Extent
12 p
Archive
The Engineering Library
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