versión impresa ISSN 0716-0917
Proyecciones (Antofagasta) vol.31 no.2 Antofagasta jun. 2012
Proyecciones Journal of Mathematics Vol. 31, No 2, pp. 125-147, June 2012. Universidad Católica del Norte Antofagasta - Chile
Some separation axioms in L-topological spaces
Cui-Mei Jiang*, Jin-Ming Fang**
* Qingdao Tecnological University, China
** Ocean University of China, China
In this paper, under the idea of L-Tq or sub-T0,we propose a set of new separation axioms in L-topological spaces, namely sub-separation axioms. And some of their properties are studied. In addition, the relation between the sub-separation axioms defined in the paper and other separation axioms is discussed. The results show that the sub-separation axioms in this paper are weaker than other separation axioms that had appeared in literature.
Keywords : L-topology; sub-separation axioms; sub-T\;sub-T2;sub-T21 ;sub-T3;sub-T4.
 C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24, pp. 182190, (1968).
 S. L. Chen, G. W. Meng, U-separation axioms and characterizations in L-fuzzy topological spaces, J. Liaochen. Sci. Technol. Univ., 11(1), pp. 16, (1998).
 J.X. Fang, B. Ren, A set of new separation axioms in L-fuzzy topo-logical spaces, Fuzzy sets and systems, 96, pp. 359366, (1998).
 M. Gu, B. Zhao, Layer separation axioms in L-fuzzy topological spaces, Fuzzy Systems and Mathematics, 17, pp. 1218 (in Chinese), (2003).
 S. Ganguly and S. Saha, On separation axioms and T¿-fuzzy continuity, Fuzzy Sets and Systems, 16, pp. 265275, (1985).
 B. Hutton, Normality in fuzzy topoligical spaces, J. Math. Anal. Appl., 50, pp. 7479, (1975).
 T. Kubiak, On L-Tychonoff spaces, Fuzzy Sets and Systems, 73, pp. 2553, (1995).
 A. Kandil, M.E. El-Shafee, Regularity axioms in fuzzy topological spaces and FR¿-proximities, Fuzzy Sets and Systems, 27, pp. 217231, (1988).
 Y. Liu, Pointwise characterizations of complete regularity and embe-ding thorem in fuzzy topological space, Sci. Sinica. Ser. A 26, pp. 138147, (1983).
 Y. Liu, M. Luo, Separation in latticed induced spaces, Fuzzy Sets and Systems, 36, pp. 5566, (1990).
 Y. Liu, M. Luo, Fuzzy topology, World Scienctific Publishing, Singapore, (1997).
 R. Lowen, Fuzzy topological spaces and compactness, J. Math. Anal. Appl., 56, pp. 621633, (1976).
 S. E. Rodabaugh, Categorical frameworks for stone representation theorems, in: S. E. Rodabaugh, et al., (Eds.), Applications of category theory to Fuzzy Subsets, Kluwer Academic Publishers, Netherlands, pp. 177231, (1992).
 F. G. Shi, A new approach to L-T2, L-Urysohn, and L-completely Hausdorff axioms, Fuzzy Sets and Systems, 157, pp. 794803, (2006).
 F. G. Shi and P. Chen, The Urysohn axiom and the completely Haus-dorff axiom in L-topological spaces, Iranian Journal of Fuzzy Systems, Vol. 7, No. 1, pp. 33-45, (2010).
 G. Wang, Theory of L-fuzzy topolgical spaces, Sha'anxi Normal University Xi'an, (1988) (in Chinese).
 C. K. Wong, Fuzzy point and local properties of fuzzy topology, J. Math. Anal. Appl., 46, pp. 316328, (1974).
 P. Wuyts, R. Lowen, On local and global measures of separation in fuzzy topological spaces, Fuzzy Sets and Systems, 19, pp. 5180, (1986).
 F. You, The separation axioms of T2| L-fts and ST2 2 L-fts, Fuzzy Systems and Mathematics, 15, pp. 7376 (in Chinese), (2001).
Received : December 2011. Accepted : January 2012
Qingdao Technological University
11 Fushun Road Qingdao 266033
P. R. China
e-mail : firstname.lastname@example.org
Department of Mathematics
Ocean University of China