SciELO - Scientific Electronic Library Online

 
vol.25 número3A NEW NOTION OF SP-COMPACT L-FUZZY SETSON OPERATOR IDEALS DEFINED BY A REFLEXIVE ORLICZ SEQUENCE SPACE índice de autoresíndice de materiabúsqueda de artículos
Home Pagelista alfabética de revistas  

Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) v.25 n.3 Antofagasta dic. 2006

http://dx.doi.org/10.4067/S0716-09172006000300004 

 

Proyecciones
Vol. 25, No 3, pp. 261-270, December 2006.
Universidad Católica del Norte
Antofagasta - Chile

 

ON SOME FUNCTIONS CONCERNING FUZZY PG-CLOSED SETS

 

M. CALDAS1, G. NAVALAGI2, R. SARAF3

1UNIVERSIDADE FEDERAL FLUMINENSE, BRASIL
2KLE SOCIETYS, INDIA
3GOVT. K. N. G. COLLEGE, INDIA


Abstract

In this paper we consider new weak and strong forms of fuzzy preirresoluteness and fuzzy pre-closureness via the concept of fuzzy pg-closed sets which we call ap-Fp-irresolute functions, ap-Fp-closed functions and contra fuzzy pre-irresolute functions and we use it to obtain a characterization of fuzzy pre-T_1/2 spaces.

2000 Math. Subject Classification : Primary: 54A40

Key Words and Phrases : Fuzzy topological spaces, Fpg-closed sets, fuzzypreopen sets, fuzzy preclosed functions, fuzzy pre-irresolute functions, fuzzy pre-T1/2 spaces


 

REFERENCES

[1] Abd El-HakeimK. M. , Zeyada F.M. and Abd Allah M. A., Fuzzy completely weakly pre-irresolute functions, Bull. Cal. Math. Soc., 93 (2) , pp. 121-128, (2001).         [ Links ]

[2] Azad K.K.,On fuzzy semicontinuity, fuzzy almost continuity and weakly continuity, J. Math. Anal. Appl., 82, pp. 14-32, (1981).         [ Links ]

[3] Balsubramanian G., On fuzzy pre-separation axioms, Bull. Cal. Math. Soc., 90, pp. 427-434, (1998).         [ Links ]

[4] Bin Shahna A. S., On fuzzy strong semicontinuity and fuzzy precontinuity, Fuzzy Sets and Systems, 44, pp. 303-308, (1991).         [ Links ]

[5] Bin Shahna A. S., Mapping in fuzzy topological spaces,Fuzzy Sets and Systems, 61, pp. 209-213, (1994).         [ Links ]

[6] Fukutake T., Saraf R. K., Caldas and Mishra S., Mappings via Fgp-closed sets, Bull. Fukuoka Univ. Edu., 52 (III), pp. 11-20, (2003).         [ Links ]

[7] Krstaeska B., Fuzzy strongly preopen sets and fuzzy strongly precontinuity, Math.Vesnik , 50, pp. 111-123, (1998).         [ Links ]

[8] Park J.H. and Park B.H.,Fuzzy pre-irresolute mappings, Pusan Kyongnam Math. J., 10, pp. 303-313, (1995).         [ Links ]

[9] Saraf R. K., On fuzzy contra -preclosed mappings(submitted).         [ Links ]

[10] Singal M. K. and Prakash N., Fuzzy preopen sets and fuzzy pre-separation axioms, Fuzzy Sets and Systems, 44, pp. 273-281,(1991).         [ Links ]

[11] Singh S., Generalization of certain fuzzy topological concepts, Ph.D. Dissertation (1999), R. D. University, Jabalpur (M. P.).         [ Links ]

[12] Zhong B. S., Fuzzy strongly preopen sets and fuzzy strongly precontinuity, Fuzzy Sets and Systems, 52, pp. 345-351, (1992).         [ Links ]

 

M. Caldas
Departamento de Matematica Aplicada
Universidade Federal Fluminense
Rua Mario Santos Braga, s/n,
CEP: 24020-140,
Niteroi, RJ BRASIL
BRASIL
e-mail : gmamccs@vm.uff.br

G. B. Navalagi
Department of Mathematics
KLE Societys
G. H. College, Haveri-581110,
Karnataka
INDIA
e-mail : gnavalagi@hotmail.com

R. K. Saraf
Department of Mathematics
Govt. K. N. G. College,
Post box 260
Damoh - 470661 (M.P.)
INDIA

Received : May 2006. Accepted : October 2006