Servicios Personalizados
Articulo
Indicadores
Citado por SciELO
Links relacionados
Bookmark
Proyecciones (Antofagasta)
versión impresa ISSN 0716-0917
Proyecciones (Antofagasta) v.20 n.2 Antofagasta ago. 2001
doi: 10.4067/S0716-09172001000200001
PRESERVING FUZZY SG-CLOSED
SETS
Conservando conjuntos Fuzzy
sg-cerrados
MIGUEL CALDAS CUEVA
Universidade Federal Fluminense, RJ - Brasil
and
RATNESH KUMAR SARAF
Government Kamla Nehru - India
Abstract
In this paper we consider new weak and stronger forms of fuzzy irresolute and fuzzy semi-closure via the concept Fsg-closed sets which we call Fap-irresolute maps, Fap-semi-closed maps and contra-fuzzy irresolute and we use it to obtain several results in the literature concerning the preservation of fuzzy sg-closed sets and to abtain also a characterization of fuzzy semi-T1/2 spaces.
1991 Math. Subject Classification : 54C10, 54D10.
Keywords and phrases : Fuzzy topological spaces, Fsg-closed sets, fuzzy semi-open sets, fuzzy semi-closed maps, fuzzy irresolute maps.
References
[1] K. K. Azad, On fuzzy semicontinuity, fuzzy almost continuity and weakly continuity, J. Math. Anal. Appl., 82, pp. 14-32, (1981). [ Links ]
[2] M. Caldas, Weak and strong forms of irresolute maps, Internat.J. Math. & Math. Sci., 23, pp. 253-259 (2000). [ Links ]
[3] H. Maki, T. Fukutake, M. Kojima and H. Harada, Generalized closed sets in fuzzy topological space I, Meetings on Topological spaces Theory and its Applications, pp. 23-26, (1998). [ Links ]
[4] R. K. Saraf, M.Caldas and M. Khanna, Fuzzy sg-closed maps. Tripury Math. Soc. (to appear). [ Links ]
[5] S. S. Thakur and Malviya, Fuzzy gc-irresolute mappings, Proc. Math.Soc.BHU.II, pp. 184-186, (1995). [ Links ]
[6] S. S. Thakur and R. K. Saraf, Fuzzy pre a-open mappings, Acta Ciencia Indica 21, pp. 507-509 (1995). [ Links ]
[7] S. S. Thakur and R.K.Saraf, Fuzzy pre-semi-closed mappings (submitted). [ Links ]
[8] T. H. Yalvac, Fuzzy sets and functions in fuzzy topology, J. Math. Anal.Appl. 126, pp. 409-423, (1987). [ Links ]
[9].T. H. Yalvac, Semi-interior and semi-clousure of a fuzzy set, J. Math. Anal. Appl. 132, pp. 356-364, (1988). [ Links ]
Received : February 2001.
Miguel Caldas Cueva
Departamento de Matemática Aplicada
Universidade Federal Fluminense
Rua Mário Santos Braga s / n0
CEP: 24020-140, Niteroi-RJ
Brasil
E-MAIL : gmamccs@vm.uff.br
and
Ratnesh Kumar Saraf
Department of Mathematics
Government Kamla Nehru
Girls College
DAMOH (M.P)-470661
India
E-MAIL : saraf@vm.uff.br











