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SOME PROPERTIES OF NEAR SR-COMPACTNESS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 4، شماره 2، دی 2007، صفحه 83-87 اصل مقاله (154.03 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2007.379 | ||
| نویسنده | ||
| Shi-Zhong Bai | ||
| Department of Mathematics, Wuyi University, Guangdong 529020, P.R.China | ||
| چکیده | ||
| In this paper, we study some properties of the near SR-compactness in L-topological spaces, where L is a fuzzy lattice. The near SR-compactness is a kind of compactness between Lowen’s fuzzy compactness and SR-compactness, and it preserves desirable properties of compactness in general topological spaces. | ||
| کلیدواژهها | ||
| L-topology؛ SS-remote neighborhood family؛ -net؛ Compactness؛ Near SR-compact L-subset | ||
| مراجع | ||
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[1] S. Z. Bai, Fuzzy strongly semiopen sets and fuzzy strong semicontinuity, Fuzzy Sets and Systems, 52 (1992), 345-351. [2] S. Z. Bai, The SR-compactness in L-fuzzy topological spaces, Fuzzy Sets and Systems, 87 (1997), 219-225. [3] C. L. Chang, Fuzzy topological spaces, J.Math.Anal.Appl., 24 (1968), 182-190. [4] S. G. Li, S. Z. Bai and N. Liu, The near SR-compactness axiom in L-topological spaces, Fuzzy Sets and Systems, 174 (2004), 307-316. [5] Y. M. Liu and M. K. Luo, Fuzzy topology, World Scientific Publishing, Singapore, 1998. [6] R. Lowen, A comparison of different compactness notions in fuzzy topological spaces, J. Math. Anal. Appl., 64 (1978), 446-454. [7] G. J. Wang, A new fuzzy compactness defined by fuzzy nets, J. Math. Anal. Appl., 94 (1983), 1-23. [8] G. J. Wang, Theory of L-fuzzy topological spaces, Shaanxi Normal University, Xian, 1988. [9] D. S. Zhao, The N-compactness in L-fuzzy topological spaces, J. Math. Anal. Appl., 128 (1987), 64-79. | ||
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