Some Good Extensions of Compactness in Sostak's L-Fuzzy Topology

References (20)

1. Andrijevic, D. On b-open sets, Mathematicki Vesnik 48, 59–64, 1996.
2. Ayg¨un, H., Warner, M. W. and Kudri, S. R. T. On smooth L-fuzzy topological spaces J. Fuzzy Math. 5 (2), 321–338, 1997.
3. Ayg¨un, H. and Abbas, S. E. On characterization of some covering properties in L-fuzzy topological spaces in ˇSostak senseInformation Sciences 165, 221–233, 2004.
4. Chang, C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24, 182–190, 1968.
5. Demirci, M. On several types of compactness in smooth topological spaces Fuzzy Sets and Systems 90 (1), 83–88, 1997.
6. Gierz, G., Hofman, K. H., Keimel, K., Lawson, J. D., Misolve, M. and Scott, D. S. A com- pendium of continuous lattices(Springer Verlag, 1980).
7. Goguen, J. A. The fuzzy Tychonoff theorem, J. Math. Anal. Appl. 43, 734–742, 1973.
8. H¨ohle, U. Upper semicontinuous fuzzy sets and applications, J. Math. Anal. Appl. 78, 659–, 1980.
9. H¨ohle, U. and ˇSostak, A. P. A general theory of fuzzy topological spaces Fuzzy Sets and Systems 73, 131–149, 1995.
10. H¨ohle, U. and ˇSostak, A. P. Axiomatic Foundations of Fixed-Basis fuzzy topology in The Handbooks of Fuzzy sets series, Volume 3 (Kluwer Academic Publishers, Dordrecht (Chapter ), 1999).
11. Kubiak, T.On fuzzy topologies (Ph. D. Thesis, A. Mickiewicz, Poznan, 1985).
12. Kubiak, T. and ˇSostak, A. P. Lower set-valued fuzzy topologies, Quaestiones Math. 20 (3), –429, 1997.
13. Kudri, S. R. T. Compactness in L-fuzzy topological spaces, Fuzzy Sets and Systems 67, 229–, 1994.
14. Ying-Ming, Liu and Mao-Kang, Luo Fuzzy Topology (World Scientific Publishing Co., Sin- gapore, 1997).
15. Ramadan, A. A. and Abbas, S.E. On L-smooth compactness J. Fuzzy Math. 9 (1), 59–73, Ramadan, A. A., Abbas, S. E. and Chan Kim, Yong Fuzzy irresolute mappings in smooth fuzzy topological spacesJ. Fuzzy Math. 9 (4), 865–877, 2001.
16. Ramadan, A. A., Abbas, S. E. and C¸ oker, D. Fuzzy γ-continuity in ˇSostak fuzzy topology, J. Fuzzy Math. 10 (1), 2002.
17. Ramadan, A. A., Y. C. Kim, Y. C. and Abbas, S. E. Weaker forms of continuity is ˇSostak’s fuzzy topology, Indian J. Pure and Appl. Math. 34 (2), 311–333, 2003. ˇSostak, A. P. On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Palerms ser II 11, –103, 1985. ˇSostak, A. P. Two decades of fuzzy topology: basic ideas, notions and results, Russian Math. Surveys 44 (6), 125–186, 1989. ˇSostak, A. P. Basic structures of fuzzy topology, J. Math. Sci. 78 (6), 662–701, 1996.
18. Warner, M. W. and R. C. McLean, R. C. On compact Hausdorff L-fuzzy spaces, Fuzzy Sets and Systems 55, 103–110, 1993.
19. H¨ohle, U. Upper semicontinuous fuzzy sets and applications, J. Math. Anal. Appl. 78, 659–, 1980.
20. Kudri, S. R. T. Compactness in L-fuzzy topological spaces, Fuzzy Sets and Systems 67, 229–, 1994.