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A note on extensions of infinitary logic

✍ Scribed by Saharon Shelah; Jouko Väänänen


Publisher
Springer
Year
2004
Tongue
English
Weight
144 KB
Volume
44
Category
Article
ISSN
0933-5846

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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