Abstract
In this paper,the new compactness which is strong-compactness is introduced for an arbitrary-subset and for a complete distributive De Morgan algebra. The strong-compactness implies strong-III-compactness,hence it also implies strong-II-compactness,strong-I-compactness,-compactness,-compactness and Lowen's fuzzy compactness. But it is different from-compactness.When ,strong-compactness is equivalent to-compactness.
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