Contra $G_\delta$-continuity in smooth fuzzy topological spaces
Mathematica Bohemica, Tome 134 (2009) no. 3, pp. 285-300

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
In this paper the concept of fuzzy contra $\G _{\delta }$-continuity in the sense of A. P. Sostak (1985) is introduced. Some interesting properties and characterizations are investigated. Also, some applications to fuzzy compact spaces are established.
In this paper the concept of fuzzy contra $\G _{\delta }$-continuity in the sense of A. P. Sostak (1985) is introduced. Some interesting properties and characterizations are investigated. Also, some applications to fuzzy compact spaces are established.
DOI : 10.21136/MB.2009.140662
Classification : 03E72, 54A40
Keywords: fuzzy contra $\G _{\delta }$-continuity; fuzzy strong $\G _{\delta }$-continuity; fuzzy perfect $\G _{\delta }$-continuity; fuzzy $\G _{\delta }$-compact space; fuzzy $S$-closed space
Devi, D. Anitha; Roja, E.; Uma, M. K. Contra $G_\delta$-continuity in smooth fuzzy topological spaces. Mathematica Bohemica, Tome 134 (2009) no. 3, pp. 285-300. doi: 10.21136/MB.2009.140662
@article{10_21136_MB_2009_140662,
     author = {Devi, D. Anitha and Roja, E. and Uma, M. K.},
     title = {Contra $G_\delta$-continuity in smooth fuzzy topological spaces},
     journal = {Mathematica Bohemica},
     pages = {285--300},
     year = {2009},
     volume = {134},
     number = {3},
     doi = {10.21136/MB.2009.140662},
     mrnumber = {2561307},
     zbl = {1212.54023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2009.140662/}
}
TY  - JOUR
AU  - Devi, D. Anitha
AU  - Roja, E.
AU  - Uma, M. K.
TI  - Contra $G_\delta$-continuity in smooth fuzzy topological spaces
JO  - Mathematica Bohemica
PY  - 2009
SP  - 285
EP  - 300
VL  - 134
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2009.140662/
DO  - 10.21136/MB.2009.140662
LA  - en
ID  - 10_21136_MB_2009_140662
ER  - 
%0 Journal Article
%A Devi, D. Anitha
%A Roja, E.
%A Uma, M. K.
%T Contra $G_\delta$-continuity in smooth fuzzy topological spaces
%J Mathematica Bohemica
%D 2009
%P 285-300
%V 134
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2009.140662/
%R 10.21136/MB.2009.140662
%G en
%F 10_21136_MB_2009_140662

[1] Balasubramanian, G.: Maximal fuzzy topologies. Kybernetika 31 (1995), 459-464. | MR | Zbl

[2] Dontchev, J.: Contra-continuous functions and strongly $s$-closed spaces. Inter. J. Math. Sci. 19 (1996), 303-310. | DOI | MR | Zbl

[3] Ekici, E., Kerre, E.: On fuzzy contra continuities. Advances in Fuzzy Mathematics 1 (2006), 35-44.

[4] Krsteska, B., Ekici, E.: Fuzzy contra strong precontinuity. Indian J. Math. 50 (2008), 149-161. | MR | Zbl

[5] Pu P. M., Liu Y. M.: Fuzzy topology. I: Neighbourhood structure of a fuzzy point and Moor-Smith convergence. J. Math. Anal. Appl. 76 (1980), 571-599. | MR

[6] Ramadan, A. A., Abbas, S. E., Yong Chan Kim: Fuzzy irresolute mappings in smooth fuzzy topological spaces. The Journal of Fuzzy Mathematics 9 (2001), 865-877. | MR

[7] Roja, E., Uma, M. K., Balasubramanian, G.: Some generalization of fuzzy $G_{\delta}$-continuous mappings. Mathematical Forum 17 (2004-2005), 1-16. | MR

[8] Roja, E., Uma, M. K., Balasubramanian G.: $G_{\delta}$-connectedness in fuzzy topological spaces. East Asian Math. J. 20 (2004), 87-95. | Zbl

[9] Samanta, S. K., Chattopadhyay, K. C.: Fuzzy topology. Fuzzy Sets Systems 54 (1993), 207-212. | MR | Zbl

[10] Smets, P.: The degree of belief in a fuzzy event. Inform. Sci. 25 (1981), 1-19. | MR | Zbl

[11] Sostak, A. P.: On a fuzzy topological structure. Rend. Circ. Matem. Palermo (Ser. II) 11 (1985), 89-103. | MR | Zbl

[12] Sugeno, M.: An introductory survey of fuzzy control. Inform. Sci. 36 (1985), 59-83. | MR | Zbl

[13] Thangaraj, G.: Contributions to the study on some aspects of fuzzy topological structures. Ph.D. Thesis, University of Madras (2003).

[14] Zadeh, L. A.: Fuzzy sets. Inf. Control 8 (1965), 338-353. | DOI | MR | Zbl

Cité par Sources :