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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) v.20 n.2 Antofagasta ago. 2001

http://dx.doi.org/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

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[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