Some results on fuzzy topology on fuzzy sets (Q1313032)

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scientific article; zbMATH DE number 496187
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English
Some results on fuzzy topology on fuzzy sets
scientific article; zbMATH DE number 496187

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    Some results on fuzzy topology on fuzzy sets (English)
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    4 September 1994
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    Considering fuzzy topology on fuzzy sets as given by \textit{M. K. Chakraborty} and the reviewer [ibid. 45, No. 1, 103-108 (1992; Zbl 0754.54004)] the present authors introduce several basic concepts and examine the validity of related standard results in this new setting. In so doing, they sharply pinpoint by a good number of counterexamples that in the present context some well-known results simply do not go through.
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    proper functions
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    compactness
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    connectedness
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