# Contra ${G}_{\delta}$-continuity in smooth fuzzy topological spaces

D. Anitha Devi; Elango Roja; Mallasamudram Kuppusamy Uma

Mathematica Bohemica (2009)

- Volume: 134, Issue: 3, page 285-300
- ISSN: 0862-7959

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topDevi, D. Anitha, Roja, Elango, and Uma, Mallasamudram Kuppusamy. "Contra $G_\delta $-continuity in smooth fuzzy topological spaces." Mathematica Bohemica 134.3 (2009): 285-300. <http://eudml.org/doc/38093>.

@article{Devi2009,

abstract = {In this paper the concept of fuzzy contra $_\{\delta \}$-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.},

author = {Devi, D. Anitha, Roja, Elango, Uma, Mallasamudram Kuppusamy},

journal = {Mathematica Bohemica},

keywords = {fuzzy contra $_\{\delta \}$-continuity; fuzzy strong $_\{\delta \}$-continuity; fuzzy perfect $_\{\delta \}$-continuity; fuzzy $_\{\delta \}$-compact space; fuzzy $S$-closed space; fuzzy contra -continuity; fuzzy strong -continuity; fuzzy perfect -continuity},

language = {eng},

number = {3},

pages = {285-300},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Contra $G_\delta $-continuity in smooth fuzzy topological spaces},

url = {http://eudml.org/doc/38093},

volume = {134},

year = {2009},

}

TY - JOUR

AU - Devi, D. Anitha

AU - Roja, Elango

AU - Uma, Mallasamudram Kuppusamy

TI - Contra $G_\delta $-continuity in smooth fuzzy topological spaces

JO - Mathematica Bohemica

PY - 2009

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 134

IS - 3

SP - 285

EP - 300

AB - In this paper the concept of fuzzy contra $_{\delta }$-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.

LA - eng

KW - fuzzy contra $_{\delta }$-continuity; fuzzy strong $_{\delta }$-continuity; fuzzy perfect $_{\delta }$-continuity; fuzzy $_{\delta }$-compact space; fuzzy $S$-closed space; fuzzy contra -continuity; fuzzy strong -continuity; fuzzy perfect -continuity

UR - http://eudml.org/doc/38093

ER -

## References

top- Balasubramanian, G., Maximal fuzzy topologies, Kybernetika 31 (1995), 459-464. (1995) Zbl0856.54004MR1361307
- Dontchev, J., 10.1155/S0161171296000427, Inter. J. Math. Sci. 19 (1996), 303-310. (1996) Zbl0840.54015MR1375993DOI10.1155/S0161171296000427
- Ekici, E., Kerre, E., On fuzzy contra continuities, Advances in Fuzzy Mathematics 1 (2006), 35-44. (2006)
- Krsteska, B., Ekici, E., Fuzzy contra strong precontinuity, Indian J. Math. 50 (2008), 149-161. (2008) Zbl1149.54305MR2379141
- 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. (1980) MR0587361
- 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. (2001) MR1879350
- Roja, E., Uma, M. K., Balasubramanian, G., Some generalization of fuzzy ${G}_{\delta}$-continuous mappings, Mathematical Forum 17 (2004-2005), 1-16. (2005) MR2454049
- Roja, E., Uma, M. K., Balasubramanian G., ${G}_{\delta}$-connectedness in fuzzy topological spaces, East Asian Math. J. 20 (2004), 87-95. (2004) Zbl1066.54006
- Samanta, S. K., Chattopadhyay, K. C., Fuzzy topology, Fuzzy Sets Systems 54 (1993), 207-212. (1993) Zbl0809.54005MR1215120
- Smets, P., The degree of belief in a fuzzy event, Inform. Sci. 25 (1981), 1-19. (1981) Zbl0472.62005MR0651984
- Sostak, A. P., On a fuzzy topological structure, Rend. Circ. Matem. Palermo (Ser. II) 11 (1985), 89-103. (1985) Zbl0638.54007MR0897975
- Sugeno, M., An introductory survey of fuzzy control, Inform. Sci. 36 (1985), 59-83. (1985) Zbl0586.93053MR0813765
- Thangaraj, G., Contributions to the study on some aspects of fuzzy topological structures, Ph.D. Thesis, University of Madras (2003). (2003)
- Zadeh, L. A., Fuzzy sets, Inf. Control 8 (1965), 338-353. (1965) Zbl0139.24606MR0219427

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