STRATIFIED (L, M)-FUZZY DERIVED SPACES

[1] Y. C. Bai, The N-derived operator in L-fuzzy topological spaces, Journal of Shaanxi Normal
University (Natural Science Edition), 18 (1990), 8{11.
[2] P. Dwinger, Characterizations of the complete homomorphic images of a completely distribu-
tive complete lattice I, Indag. Math. (Proc), 85 (1982), 403{414.
[3] R. Engelking, General Topology, Warszawa, 1977.
[4] J. M. Fang, Derived opeartor in L-fuzzy topological spaces, The Journal of Fuzzy Mathemat-
ics, 10 (2002), 735{746.
[5] J. M. Fang, Categories isomorphic to L-FTOP, Fuzzy Sets and Systems, 157 (2006), 820{
831.
[6] G. Gierz, K. H. Hofmann and K. Keimel, A Compendium of Continuous Lattices, Springer,
Berlin, 1980.
[7] J. L. Kelley, General Topology, Springer, New York, 1955.
[8] T. Kubiak, On Fuzzy Topologies, PhD thesis, Adam Mickiewicz, Poznan, Poland, 1985.
[9] Y. Liu and M. Luo, Fuzzy Topology, World Scientific Publishing, Singapore, 1997.
[10] P. M. Pu, Y. M. Liu, Fuzzy topology. I. neighborhood structure of a fuzzy point and moore-
smith convergence, Journal of Mathematical Analysis and Applications, 76 (1980), 571{599.
[11] F. G. Shi, The fuzzy derived induced by the derived operator of ordinary set and fuzzy topology
induced by the fuzzy derived operator, Fuzzy Systems and Mathematics, 5 (1991), 32{37.
[12] F. G. Shi, L-fuzzy derived opeartor and L-fuzzy topology, Journal of Yantai Teachers Univer-
sity (Natural Science Edition), 10 (1994), 161{166.
[13] F. G. Shi, Theory of L-nested sets and L-nested sets and its applications, Fuzzy Systems
and Mathematics, 4 (1995), 65{72.
[14] F. G. Shi, L-fuzzy interiors and L-fuzzy closures, Fuzzy Sets and Systems, 160 (2009), 1218{
1232.
[15] F. G. Shi and B. Pang, Categories isomorphic to the category of L-fuzzy closure system
spaces, Iranian Journal of Fuzzy Systems, 10(5) (2013), 127{146.
[16] J. B. Shi and L. X. Xuan, Strong derived sets and strong derived operators in L-fuzzy topo-
logical spaces, Journal of Nanjing Normal University (Natural Science Edition), 19 (1996),
7{12.

[17] A. P. Sostak, Basic structures of fuzzy topology, Journal of Mathematical Sciences, 78 (1996),
662{701.
[18] G. J. Wang, Theory of L-Fuzzy Topological Spaces, Shaanxi Normal University Press, Xi'an,
(in Chinese), 1988.
[19] G. J. Wang, Theory of topological molecular lattices, Fuzzy Sets and Systems, 47 (1992),
351{376.
[20] M. S. Ying, A new approach for fuzzy topology (I), Fuzzy Sets and Systems, 39 (1991),
303{321.
[21] W. Yao, Moore-Smith convergence in (L;M)-fuzzy topology, Fuzzy Sets and Systems, 190
(2012), 47{62.
[22] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338{353.