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Iranian Journal of Fuzzy Systems، جلد ۱، شماره ۱، صفحات ۷۹-۸۸
عنوان فارسی COUNTABLE COMPACTNESS AND THE LINDEL¨OF PROPERTY OF L-FUZZY SETS
چکیده فارسی مقاله In this paper, countable compactness and the Lindel¨of property
are defined for L-fuzzy sets, where L is a complete de Morgan algebra. They
don’t rely on the structure of the basis lattice L and no distributivity is required
in L. A fuzzy compact L-set is countably compact and has the Lindel¨of
property. An L-set having the Lindel¨of property is countably compact if and
only if it is fuzzy compact. Many characterizations of countable compactness
and the Lindel¨of property are presented by means of open L-sets and closed
L-sets when L is a completely distributive de Morgan algebra.
کلیدواژه‌های فارسی مقاله L-topology، Fuzzy Compactness، Countable Compactness، Lindel¨of Property،
عنوان انگلیسی COUNTABLE COMPACTNESS AND THE LINDEL¨OF PROPERTY OF L-FUZZY SETS
چکیده انگلیسی مقاله In this paper, countable compactness and the Lindel¨of property
are defined for L-fuzzy sets, where L is a complete de Morgan algebra. They
don’t rely on the structure of the basis lattice L and no distributivity is required
in L. A fuzzy compact L-set is countably compact and has the Lindel¨of
property. An L-set having the Lindel¨of property is countably compact if and
only if it is fuzzy compact. Many characterizations of countable compactness
and the Lindel¨of property are presented by means of open L-sets and closed
L-sets when L is a completely distributive de Morgan algebra.
کلیدواژه‌های انگلیسی مقاله
نویسندگان مقاله fu gui shi | fu gui
department of mathematics, beijing institute of technology, beijing, 100081, p.r. china

نشانی اینترنتی http://ijfs.usb.ac.ir/article_496_53f0ab35e1d41514a4ef3a891ff5033d.pdf
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