%0 Journal Article
%T COUNTABLE COMPACTNESS AND THE LINDEL¨OF PROPERTY OF L-FUZZY SETS
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Shi, Fu-Gui
%D 2004
%\ 04/22/2004
%V 1
%N 1
%P 79-88
%! COUNTABLE COMPACTNESS AND THE LINDEL¨OF PROPERTY OF L-FUZZY SETS
%K L-topology
%K Fuzzy Compactness
%K Countable Compactness
%K Lindel¨of
Property
%R 10.22111/ijfs.2004.496
%X 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.
%U https://ijfs.usb.ac.ir/article_496_53f0ab35e1d41514a4ef3a891ff5033d.pdf