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Relative remote neighborhood family and the characterizations of ultra-fuzzy compactness

✍ Scribed by Wu-Neng Zhou; Pei-Yuan Meng


Book ID
104292789
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
109 KB
Volume
109
Category
Article
ISSN
0165-0114

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✦ Synopsis


In this paper, the concept of relative remote neighborhood family in L-fuzzy topological spaces is introduced, by which some characterizations of ultra-fuzzy compactness are obtained. Using this concept, we have proved Alexander Subbase Lemma and TNXOHOB Product Theorem about ultra-fuzzy compactness. Furthermore, the ultra-fuzzy paracompactness deÿned by strong locally ÿnite relative remote neighborhood family is proved to be an L-good extension.