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A note on Zadeh's extensions

✍ Scribed by Heriberto Román-Flores; Laécio C. Barros; Rodney C. Bassanezi

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
95 KB
Volume
117
Category
Article
ISSN
0165-0114

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✦ Synopsis

Let f : R n → R n and f : F(R n ) → F(R) n be Zadeh's extension of f to the space of fuzzy compact sets F(R n ). The aim of this paper is to show that if f is continuous, then f : (F(R n ); D) → (F(R n ); D) is also continuous, D being the supremum over Hausdor distances between their corresponding level sets.

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