COUNTABLE COMPACTNESS AND THE LINDEL¨OF PROPERTY OF L-FUZZY SETS

نویسنده

  • Fu-Gui Shi Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, P.R. China
چکیده مقاله:

In this paper, countable compactness and the Lindel¨of propertyare defined for L-fuzzy sets, where L is a complete de Morgan algebra. Theydon’t rely on the structure of the basis lattice L and no distributivity is requiredin L. A fuzzy compact L-set is countably compact and has the Lindel¨ofproperty. An L-set having the Lindel¨of property is countably compact if andonly if it is fuzzy compact. Many characterizations of countable compactnessand the Lindel¨of property are presented by means of open L-sets and closedL-sets when L is a completely distributive de Morgan algebra.

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عنوان ژورنال

دوره 1  شماره 1

صفحات  79- 88

تاریخ انتشار 2004-04-22

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