m * -fuzzy basically disconnected spaces in smooth fuzzy topological spaces

B. Amudhambigai; Mallasamudram Kuppusamy Uma; Elango Roja

Mathematica Bohemica (2013)

  • Volume: 138, Issue: 1, page 1-13
  • ISSN: 0862-7959

Abstract

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In this paper, the concepts of m * r -fuzzy g ˜ -open F σ 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.

How to cite

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Amudhambigai, B., Uma, Mallasamudram Kuppusamy, and Roja, Elango. "$m^*$-fuzzy basically disconnected spaces in smooth fuzzy topological spaces." Mathematica Bohemica 138.1 (2013): 1-13. <http://eudml.org/doc/252459>.

@article{Amudhambigai2013,
abstract = {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.},
author = {Amudhambigai, B., Uma, Mallasamudram Kuppusamy, Roja, Elango},
journal = {Mathematica Bohemica},
keywords = {$m^*r$-fuzzy $\tilde\{g\}$-open $F_\{\sigma \}$ set; $m^*$-fuzzy basically disconnected space; $m^*r$-fuzzy open function; -fuzzy -open set; -fuzzy basically disconnected space; -fuzzy open function},
language = {eng},
number = {1},
pages = {1-13},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$m^*$-fuzzy basically disconnected spaces in smooth fuzzy topological spaces},
url = {http://eudml.org/doc/252459},
volume = {138},
year = {2013},
}

TY - JOUR
AU - Amudhambigai, B.
AU - Uma, Mallasamudram Kuppusamy
AU - Roja, Elango
TI - $m^*$-fuzzy basically disconnected spaces in smooth fuzzy topological spaces
JO - Mathematica Bohemica
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 138
IS - 1
SP - 1
EP - 13
AB - 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.
LA - eng
KW - $m^*r$-fuzzy $\tilde{g}$-open $F_{\sigma }$ set; $m^*$-fuzzy basically disconnected space; $m^*r$-fuzzy open function; -fuzzy -open set; -fuzzy basically disconnected space; -fuzzy open function
UR - http://eudml.org/doc/252459
ER -

References

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  1. Amudhambigai, B., Uma, M. K., Roja, E., Seperations axioms in smooth fuzzy topological spaces, Scientia Magna 5 (2009), 90-98. (2009) MR2665986
  2. Chattopadhyay, K. C., Samanta, S. K., Fuzzy topology: Fuzzy closure operator, fuzzy compactness and fuzzy connectedness, Fuzzy Sets Syst. 54 (1993), 207-212. (1993) MR1215120
  3. Devi, D. Anitha, Roja, E., Uma, M. K., Contra G δ -continuity in smooth fuzzy topological spaces, Math. Bohem. 134 (2009), 285-300. (2009) MR2561307
  4. Kubiak, T., 10.1016/0022-247X(87)90169-7, J. Math. Anal. Appl. 125 (1987), 141-153. (1987) Zbl0643.54008MR0891354DOI10.1016/0022-247X(87)90169-7
  5. Popa, V., Noiri, T., On M -continuous functions, Anal. Univ. Dunarea de Jos Galati. Ser. Mat. Fiz. Mec. Teor. 18 (2000), 31-41. (2000) MR1228422
  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. (2001) Zbl0972.54011MR1822060
  7. Rajesh, N., Ekici, E., g ˜ -locally closed sets in topological spaces, Kochi J. Math 2 (2007), 1-9. (2007) MR2308529
  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. (2001) Zbl0994.54009MR1879350
  9. Smets, P., 10.1016/0020-0255(81)90008-6, Inf. Sci. 25 (1981), 1-19. (1981) Zbl0472.62005MR0651984DOI10.1016/0020-0255(81)90008-6
  10. Sugeno, M., 10.1016/0020-0255(85)90026-X, Inform. Sci. 36 (1985), 59-83. (1985) Zbl0586.93053MR0813765DOI10.1016/0020-0255(85)90026-X
  11. Šostak, A. P., On a fuzzy topological structure, Rend. Circ. Mat. Palermo, II. Ser. Suppl. 11 (1985), 89-103. (1985) MR0897975
  12. Thangaraj, G., Balasubramanian, G., On fuzzy basically disconnected spaces, J. Fuzzy Math. 9 (2001), 103-110. (2001) Zbl0973.54008MR1822319
  13. Zadeh, L. A., 10.1016/S0019-9958(65)90241-X, Inf. Control 8 (1965), 338-353. (1965) Zbl0139.24606MR0219427DOI10.1016/S0019-9958(65)90241-X

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