کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
391061 | 661336 | 2007 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A new definition of fuzzy compactness
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
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چکیده انگلیسی
In this paper, a new definition of fuzzy compactness is presented in L-topological spaces when L is a complete DeMorgan algebra. This definition does not rely on the structure of the basis lattice L and no distributivity in L is required. The intersection of a fuzzy compact L-set and a closed L-set is fuzzy compact. The continuous image of a fuzzy compact L-set is fuzzy compact. If the set of all prime elements of L is order generating, then the Alexander Subbase Theorem is true. When L is a completely distributive DeMorgan algebra, it is equivalent to Lowen's fuzzy compactness, and in this case, its many characterizations are presented by means of open L-sets and closed L-sets.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Fuzzy Sets and Systems - Volume 158, Issue 13, 1 July 2007, Pages 1486-1495
Journal: Fuzzy Sets and Systems - Volume 158, Issue 13, 1 July 2007, Pages 1486-1495