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Similarity of fuzzy sets, application to Rn as a substratum

✍ Scribed by R. Badard

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
129 KB
Volume
110
Category
Article
ISSN
0165-0114

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✦ Synopsis

In this paper we apply to real spaces the concept of similarity relation on fuzzy sets. The underlying topological space is said to play the role of an expression substratum. These relations can be used to deÿne relative positions of expression of fuzzy sets. Groups of homeomorphisms of a topological space are important, they are representative of the symmetries of the space. We give very simple examples to clarify these rather abstract notions.

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