Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9650999 | Information Sciences | 2005 | 14 Pages |
Abstract
In this paper, a new notion of compactness is introduced in L-topological spaces by means of βa-open cover and Qa-open cover, which is called Sâ-compactness. Ultra-compactness implies Sâ-compactness. Sâ-compactness implies fuzzy compactness, but fuzzy compactness need not imply Sâ-compactness. If L = [0, 1], then strong compactness implies Sâ-compactness, but Sâ-compactness need not imply strong compactness. The intersection of an Sâ-compact L-set and a closed L-set is Sâ-compact. The continuous image of an Sâ-compact L-set is Sâ-compact. A weakly induced L-space (X,T) is Sâ-compact if and only if (X,[T]) is compact. The Tychonoff Theorem for Sâ-compactness is true. The L-fuzzy unit interval is Sâ-compact. Moreover Sâ-compactness can also be characterized by nets.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Fu-Gui Shi,