| Title:
|
Contra $G_\delta$-continuity in smooth fuzzy topological spaces (English) |
| Author:
|
Devi, D. Anitha |
| Author:
|
Roja, E. |
| Author:
|
Uma, M. K. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
134 |
| Issue:
|
3 |
| Year:
|
2009 |
| Pages:
|
285-300 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
fuzzy contra $\G _{\delta }$-continuity |
| Keyword:
|
fuzzy strong $\G _{\delta }$-continuity |
| Keyword:
|
fuzzy perfect $\G _{\delta }$-continuity |
| Keyword:
|
fuzzy $\G _{\delta }$-compact space |
| Keyword:
|
fuzzy $S$-closed space |
| MSC:
|
03E72 |
| MSC:
|
54A40 |
| idZBL:
|
Zbl 1212.54023 |
| idMR:
|
MR2561307 |
| DOI:
|
10.21136/MB.2009.140662 |
| . |
| Date available:
|
2010-07-20T18:04:04Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140662 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Ekici, E., Kerre, E.: On fuzzy contra continuities.Advances in Fuzzy Mathematics 1 (2006), 35-44. |
| Reference:
|
[4] Krsteska, B., Ekici, E.: Fuzzy contra strong precontinuity.Indian J. Math. 50 (2008), 149-161. Zbl 1149.54305, MR 2379141 |
| Reference:
|
[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 0587361 |
| Reference:
|
[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 1879350 |
| Reference:
|
[7] Roja, E., Uma, M. K., Balasubramanian, G.: Some generalization of fuzzy $G_{\delta}$-continuous mappings.Mathematical Forum 17 (2004-2005), 1-16. MR 2454049 |
| Reference:
|
[8] Roja, E., Uma, M. K., Balasubramanian G.: $G_{\delta}$-connectedness in fuzzy topological spaces.East Asian Math. J. 20 (2004), 87-95. Zbl 1066.54006 |
| Reference:
|
[9] Samanta, S. K., Chattopadhyay, K. C.: Fuzzy topology.Fuzzy Sets Systems 54 (1993), 207-212. Zbl 0809.54005, MR 1215120 |
| Reference:
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[10] Smets, P.: The degree of belief in a fuzzy event.Inform. Sci. 25 (1981), 1-19. Zbl 0472.62005, MR 0651984 |
| Reference:
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[11] Sostak, A. P.: On a fuzzy topological structure.Rend. Circ. Matem. Palermo (Ser. II) 11 (1985), 89-103. Zbl 0638.54007, MR 0897975 |
| Reference:
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[12] Sugeno, M.: An introductory survey of fuzzy control.Inform. Sci. 36 (1985), 59-83. Zbl 0586.93053, MR 0813765 |
| Reference:
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[13] Thangaraj, G.: Contributions to the study on some aspects of fuzzy topological structures.Ph.D. Thesis, University of Madras (2003). |
| Reference:
|
[14] Zadeh, L. A.: Fuzzy sets.Inf. Control 8 (1965), 338-353. Zbl 0139.24606, MR 0219427, 10.1016/S0019-9958(65)90241-X |
| . |
