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