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

Yıl 2007, Cilt: 36 Sayı: 2, 115 - 125, 01.02.2007

H. Aygün S. E. Abbas

Anahtar Kelimeler

-

Kaynakça

• Andrijevic, D. On b-open sets, Mathematicki Vesnik 48, 59–64, 1996.
• 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.
• 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.
• Chang, C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24, 182–190, 1968.
• Demirci, M. On several types of compactness in smooth topological spaces Fuzzy Sets and Systems 90 (1), 83–88, 1997.
• 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).
• Goguen, J. A. The fuzzy Tychonoff theorem, J. Math. Anal. Appl. 43, 734–742, 1973.
• H¨ohle, U. Upper semicontinuous fuzzy sets and applications, J. Math. Anal. Appl. 78, 659– , 1980.
• H¨ohle, U. and ˇSostak, A. P. A general theory of fuzzy topological spaces Fuzzy Sets and Systems 73, 131–149, 1995.
• 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).
• Kubiak, T.On fuzzy topologies (Ph. D. Thesis, A. Mickiewicz, Poznan, 1985).
• Kubiak, T. and ˇSostak, A. P. Lower set-valued fuzzy topologies, Quaestiones Math. 20 (3), –429, 1997.
• Kudri, S. R. T. Compactness in L-fuzzy topological spaces, Fuzzy Sets and Systems 67, 229– , 1994.
• Ying-Ming, Liu and Mao-Kang, Luo Fuzzy Topology (World Scientific Publishing Co., Sin- gapore, 1997).
• 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.
• Ramadan, A. A., Abbas, S. E. and C¸ oker, D. Fuzzy γ-continuity in ˇSostak fuzzy topology, J. Fuzzy Math. 10 (1), 2002.
• 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.
• Warner, M. W. and R. C. McLean, R. C. On compact Hausdorff L-fuzzy spaces, Fuzzy Sets and Systems 55, 103–110, 1993.