Title:
|
Pairwise fuzzy connectedness between fuzzy sets (English) |
Author:
|
Thakur, S. S. |
Author:
|
Philip, Annamma |
Language:
|
English |
Journal:
|
Mathematica Bohemica |
ISSN:
|
0862-7959 (print) |
ISSN:
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2464-7136 (online) |
Volume:
|
122 |
Issue:
|
4 |
Year:
|
1997 |
Pages:
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375-380 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
Summary:
|
In this paper the concept of fuzzy connectedness between fuzzy sets is generalized to fuzzy bitopological spaces and some of its properties are studied. (English) |
Keyword:
|
fuzzy bitopological spaces |
Keyword:
|
pairwise fuzzy connectedness |
Keyword:
|
$(i,j)$-fuzzy clopen |
MSC:
|
04A72 |
MSC:
|
54A40 |
idZBL:
|
Zbl 0897.54004 |
idMR:
|
MR1489398 |
DOI:
|
10.21136/MB.1997.126217 |
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Date available:
|
2009-09-24T21:27:46Z |
Last updated:
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2020-07-29 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/126217 |
. |
Reference:
|
[1] G. Balasubramanian: Fuzzy disconnectedness and its stronger forms.Indian J. Pure Appl. Math. 24 (1993), no. 1, 27-30. Zbl 0785.54005, MR 1203246 |
Reference:
|
[2] C. L. Chang: Fuzzy topological spaces.J. Math. Anal. Appl. 24 (1968), 182-190. Zbl 0167.51001, MR 0236859, 10.1016/0022-247X(68)90057-7 |
Reference:
|
[3] U. V. Fetteh D. S. Bassan: Fuzzy connectedness and its stronger forms.J. Math. Anal. Appl. III (1985), 449-464. MR 0813222 |
Reference:
|
[4] M. H. Ghanim E. E. Kerre A. S. Mashhour: Separation axioms, subspaces and sums in fuzzy topology.J. Math. Anal. Appl. 102 (1984), 189-202. MR 0751352, 10.1016/0022-247X(84)90212-9 |
Reference:
|
[5] A. Kandil: Biproximities and fuzzy topological spaces.Simon Stevin 63 (1989), 45-46. MR 1021455 |
Reference:
|
[6] S. N. Maheshwari S. S. Thakur, Rita Malviya: Conectedness between fuzzy sets.J. Fuzzy Math. 1 (1993), no. 4, 757-759. MR 1249187 |
Reference:
|
[7] M. N. Mukherjee: Pairwise set connected mappings in bitopological spaces.Indian J. Pure Appl. Math 16 (1989), no. 9, 1106-1113. MR 0864150 |
Reference:
|
[8] P. M. Pu Y. M. Liu: Fuzzy topology 1, Neighbourhood structure of a fuzzy point and Moore Smith convergence.J. Math. Anal. Appl. 76 (1980), 571-599. MR 0587361, 10.1016/0022-247X(80)90048-7 |
Reference:
|
[9] S. S. Thakur, Annamma Philip: Connectedness in fuzzy bitopological spaces.Epsilon J. Math. (Submitted). |
Reference:
|
[10] L. A. Zadeh: Fuzzy sets.Inform. and Control (Shenyang) 8 (1965), 338-353. Zbl 0139.24606, MR 0219427, 10.1016/S0019-9958(65)90241-X |
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