Proyecciones Journal of Mathematics
Vol. 28, N° 3, pp. 253-270, December 2009.
Universidad Católica del Norte
Antofagasta - Chile


FUZZY PARA - LINDELOF SPACES


T. Baiju
Sunil Jacob John

National Institute Of Technology Calicut, India


Correspondencia a:

Abstract

In this paper we introduce the concept of Para-Lindelof spaces in L-topological spaces by means of locally countable families of L-fuzzy sets. Further some characterizations of fuzzy para-Lindelofness and flintily para-Lindelofness in the weakly induced L-topological spaces are also obtained. More over the behavior of fuzzy para-Lindelof spaces under various types of maps such as fuzzy closed maps, fuzzy perfect maps are also investigated.

Keywords: L-Topology, Fuzzy para-Lindelofness, Flintily para- Lindelofness, locally countable family.

2000 AMS Classification : 54D 20, 54A 40.

References

[1] Baiju, T. and Sunil Jacob John, Finitistic Spaces in L-topological spaces, Proyecciones Journal of Mathematics 28 (1), pp. 47-56, (2009).        [ Links ]

[2] Baiju, T. and Sunil Jacob John, Fuzzy submetacompact spaces. (communicated)        [ Links ]

[3] Baiju, T. and Sunil Jacob John, Subparacompactness in L-topological spaces (communicated).        [ Links ]

[4] Burke, D. K, Paralindelof spaces and closed mappings, Topology Proc. 5, pp. 47-57, (1980).        [ Links ]

[5] Burke, D. K, Refinements of locally countable collections, Topology Proc. 4, pp. 19-27, (1979).        [ Links ]

[6] Chang, C. L. Fuzzy Topological Spaces, J. Math. Anal. Appl. 24, pp. 182-190, (1968).        [ Links ]

[7] Dieudonne, J. Une generalization des espaces compact, J. Math. Pures. Appl. 23, pp. 65-76, (1944).        [ Links ]

[8] Fleissner, W. G, and Reed, G. M., Para-Lindelof spaces and spaces with a s-locally countable base, Topology Proc. 2, pp. 89-110, (1977).        [ Links ]

[9] Greever, J. On some generalized compactness properties, Publ. Res. Inst. Math. Soc., Ser. A 4 (1), 39-49, (1968).        [ Links ]

[10] Hohle, U. and Rodabaugh, S. E. Mathematics of Fuzzy Sets : Logic, Topology and Measure Theory, The Hand Book of Fuzzy Set Series 3, Kluwer Academic Pub. (1999).        [ Links ]

[11] Kubiak, T. The topological modification of the L-fuzzy unit interval, in: S.E. Rodabaugh, E.P. Klement, U. Hohle (Eds.), Applications of Category Theory to Fuzzy Subsets, (Kluwer Academic Publishers, Dordrecht, pp. 275-305, (1992).        [ Links ]

[12] Lowen, R., Fuzzy Topological Spaces and Fuzzy Compactness, J. Math. Anal. Appl. 56, pp. 621-633, (1976).        [ Links ]

[13] Luo Mao-Kang, Paracompactness in fuzzy topological spaces, J. Math. Anal. Appl. 130 (1), pp. 55-77, (1988).        [ Links ]

[14] Sunil Jacob John and Baiju, T. Metacompactness in L-topological spaces, Iranian Journal of Fuzzy Systems 5 (3), pp. 71-79, (2008).        [ Links ]

[15] Wang, G. J. On the structure of fuzzy lattices, Acta math. Sinica 29, pp. 539-543, (1986).        [ Links ]

[16] Wang, G. J. Theory of L-fuzzy topological spaces, Shaanxi Normal University Pub., Xian (1988).        [ Links ]

[17] Ying - Ming Liu and Mao-Kang Luo, Fuzzy Topology, Advances in Fuzzy SystemsApplications and Theory Vol. 9, World Scientific, (1997).        [ Links ]

[18] Zadeh, L. A. Fuzzy sets, Information and Control 8, pp. 338-353, (1965).        [ Links ]

T. Baiju
Department of Mathematics
National Institute of Technology Calicut
Calicut 673 601
Kerala
India
e-mail : baijutmaths@gmail.com


Sunil Jacob John
Department of Mathematics
National Institute of Technology Calicut
Calicut 673 601
Kerala
India
e-mail : sunil@nitc.ac.in

Received : July 2009. Accepted : October 2009