| Title:
|
$m^*$-fuzzy basically disconnected spaces in smooth fuzzy topological spaces (English) |
| Author:
|
Amudhambigai, B. |
| Author:
|
Uma, M. K. |
| Author:
|
Roja, E. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
138 |
| Issue:
|
1 |
| Year:
|
2013 |
| Pages:
|
1-13 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, the concepts of $m^* r$-fuzzy $\tilde {g}$-open $F_{\sigma }$ sets and $m^*$-fuzzy basically disconnected spaces are introduced in the sense of Šostak and Ramadan. Some interesting properties and characterizations are studied. Tietze extension theorem for $m^*$-fuzzy basically disconnected spaces is discussed. (English) |
| Keyword:
|
$m^*r$-fuzzy $\tilde {g}$-open $F_{\sigma }$ set |
| Keyword:
|
$m^*$-fuzzy basically disconnected space |
| Keyword:
|
$m^*r$-fuzzy open function |
| MSC:
|
03E72 |
| MSC:
|
54A40 |
| idZBL:
|
Zbl 1274.54021 |
| idMR:
|
MR3076216 |
| DOI:
|
10.21136/MB.2013.143223 |
| . |
| Date available:
|
2013-03-02T18:46:25Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143223 |
| . |
| Reference:
|
[1] Amudhambigai, B., Uma, M. K., Roja, E.: Seperations axioms in smooth fuzzy topological spaces.Scientia Magna 5 (2009), 90-98. MR 2665986 |
| Reference:
|
[2] Chattopadhyay, K. C., Samanta, S. K.: Fuzzy topology: Fuzzy closure operator, fuzzy compactness and fuzzy connectedness.Fuzzy Sets Syst. 54 (1993), 207-212. MR 1215120 |
| Reference:
|
[3] Devi, D. Anitha, Roja, E., Uma, M. K.: Contra $G_\delta$-continuity in smooth fuzzy topological spaces.Math. Bohem. 134 (2009), 285-300. MR 2561307 |
| Reference:
|
[4] Kubiak, T.: $L$-fuzzy normal spaces and Tietze extension theorem.J. Math. Anal. Appl. 125 (1987), 141-153. Zbl 0643.54008, MR 0891354, 10.1016/0022-247X(87)90169-7 |
| Reference:
|
[5] Popa, V., Noiri, T.: On $M$-continuous functions.Anal. Univ. Dunarea de Jos Galati. Ser. Mat. Fiz. Mec. Teor. 18 (2000), 31-41. MR 1228422 |
| Reference:
|
[6] Popa, V., Noiri, T.: On the definitions of some generalized forms of continuity under minimal conditions.Mem. Fac. Sci., Kochi Univ., Ser. A 22 (2001), 9-18. Zbl 0972.54011, MR 1822060 |
| Reference:
|
[7] Rajesh, N., Ekici, E.: $\tilde{g}$-locally closed sets in topological spaces.Kochi J. Math 2 (2007), 1-9. MR 2308529 |
| Reference:
|
[8] Ramadan, A. A., Abbas, S. E., Kim, Yong Chan: Fuzzy irresolute mappings in smooth fuzzy topological spaces.J. Fuzzy Math. 9 (2001), 865-877. Zbl 0994.54009, MR 1879350 |
| Reference:
|
[9] Smets, P.: The degree of belief in a fuzzy event.Inf. Sci. 25 (1981), 1-19. Zbl 0472.62005, MR 0651984, 10.1016/0020-0255(81)90008-6 |
| Reference:
|
[10] Sugeno, M.: An introductory survey of fuzzy control.Inform. Sci. 36 (1985), 59-83. Zbl 0586.93053, MR 0813765, 10.1016/0020-0255(85)90026-X |
| Reference:
|
[11] Šostak, A. P.: On a fuzzy topological structure.Rend. Circ. Mat. Palermo, II. Ser. Suppl. 11 (1985), 89-103. MR 0897975 |
| Reference:
|
[12] Thangaraj, G., Balasubramanian, G.: On fuzzy basically disconnected spaces.J. Fuzzy Math. 9 (2001), 103-110. Zbl 0973.54008, MR 1822319 |
| Reference:
|
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| . |
