اخبار و اعلانات
آمار
| تعداد نشریات | 29 |
| تعداد شماره‌ها | 630 |
| تعداد مقالات | 6,368 |
| تعداد مشاهده مقاله | 9,731,230 |
| تعداد دریافت فایل اصل مقاله | 6,362,727 |
COUNTABLE COMPACTNESS AND THE LINDEL¨OF PROPERTY OF L-FUZZY SETS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 9، دوره 1، شماره 1، تیر 2004، صفحه 79-88 اصل مقاله (180.65 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2004.496 | ||
| نویسنده | ||
| Fu-Gui Shi | ||
| Department of Mathematics, Beijing Institute of Technology, Beijing, 100081, P.R. China | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| L-topology؛ Fuzzy Compactness؛ Countable Compactness؛ Lindel¨of Property | ||
| مراجع | ||
|
[1] G. Gierz, et al., A compendium of continuous lattices, Springer Verlag, Berlin, 1980. [2] R. Lowen, Fuzzy topological spaces and fuzzy compactness. J. Math. Anal. Appl., 56 (1976) 621–633. [3] F.-G. Shi, Fuzzy compactness in L-topological spaces, submitted. [4] F.-G. Shi, Characterizations of fuzzy compactness and the Tychonoff Theorem, J. Mudanjiang Teachers Collge (Natural Science Editor), 1 (1992) 1-3 (in Chinese). [5] F.-G Shi, A note on fuzzy compactness in L-topological spaces, Fuzzy Sets and Systems, 119 (2001) 547-548. [6] F.-G. Shi,The Lindel¨of property in L-fuzzy topological Spaces, J.Yantai Teachers University (Natural Science Editor), 4 (1994) 241-244 (in Chinese). [7] F.-G. Shi, et al.,Fuzzy countable compactness in L-fuzzy topological spaces, J. Harbin Science and Technology University, 3 (1992) 63-72 (in Chinese). [8] F.-G. Shi, C.-Y. Zheng, Paracompactness in L-fuzzy topological spaces, Fuzzy Sets and Systems, 129 (2002) 29-37. [9] F.-G. Shi, C.-Y. Zheng, O-convergence of fuzzy nets and its applications, Fuzzy Sets and Systems, 140 (2003) 499-507. [10] G.J. Wang,A new fuzzy compactness defined by fuzzy nets, J. Math. Anal. Appl., 94 (1983) 1-23. [11] G.J. Wang, Theory of L-fuzzy topological space, Shanxi Normal University Press, Xian, 1988 (in Chinese). [12] G.-J. Wang, Theory of topological molecular lattices, Fuzzy Sets and Systems, 47 (1992) 351-376. [13] J.J. Xu, On fuzzy compactness in L-fuzzy topological spaces, Chinese Quarterly Journal of Mathematics, 2 (1990) 104-105. | ||
|
آمار تعداد مشاهده مقاله: 2,313 تعداد دریافت فایل اصل مقاله: 1,181 |
||