Title:
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On some kinds of fuzzy connected spaces (English) |
Author:
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Hassan, Qutaiba Ead |
Language:
|
English |
Journal:
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Applications of Mathematics |
ISSN:
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0862-7940 (print) |
ISSN:
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1572-9109 (online) |
Volume:
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52 |
Issue:
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4 |
Year:
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2007 |
Pages:
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353-361 |
Summary lang:
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English |
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Category:
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math |
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Summary:
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In this paper we introduce new results in fuzzy connected spaces. Among the results obtained we can mention the good extension of local connectedness. Also we prove that in a $T_{1}$-fuzzy compact space the notions c-zero dimensional, strong c-zero dimensional and totally ${\mathrm c}_i$-disconnected are equivalent. (English) |
Keyword:
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fuzzy connected space |
Keyword:
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fuzzy strong connected |
Keyword:
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fuzzy super connected |
Keyword:
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$c$-zero dimensional |
Keyword:
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strong $c$-zero dimensional |
Keyword:
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totally $c_i$-disconnected |
MSC:
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03E72 |
MSC:
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54A40 |
idZBL:
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Zbl 1164.54312 |
idMR:
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MR2324733 |
DOI:
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10.1007/s10492-007-0020-7 |
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Date available:
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2009-09-22T18:30:23Z |
Last updated:
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2020-07-02 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/134681 |
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Reference:
|
[1] N. Ajmal, J. K. Kohli: Zero dimensional and strongly zero dimensional fuzzy topological spaces.Fuzzy Sets Syst. 61 (1994), 231–237. MR 1262473 |
Reference:
|
[2] N. Ajmal, J. K. Kohli: Connectedness and local connectedness in fuzzy topological spaces and Heyting-algebra-valued sets.Fuzzy Sets Syst. 44 (1991), 93–108. MR 1133986 |
Reference:
|
[3] D. M. Ali, A. K. Srivastava: On fuzzy connectedness.Fuzzy Sets Syst. 28 (1988), 203–208. MR 0968073 |
Reference:
|
[4] 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:
|
[5] E. Cuchillo-Ibañez, J. Tarrés: On zero dimensionality in fuzzy topological spaces.Fuzzy Sets Syst. 82 (1996), 361–367. MR 1409708 |
Reference:
|
[6] A. K. Chaudhuri, P. Das: Fuzzy connected sets in fuzzy topological spaces.Fuzzy Sets Syst. 49 (1992), 223–229. MR 1179749 |
Reference:
|
[7] U. V. Fatteh, D. S. Bassam: Fuzzy connectedness and its stronger forms.J. Math. Anal. Appl. 111 (1985), 449–464. MR 0813222, 10.1016/0022-247X(85)90229-X |
Reference:
|
[8] R. Lowen: Connectedness in fuzzy topological spaces.Rocky Mt. J. Math. 11 (1981), 427–433. Zbl 0487.54007, MR 0722576, 10.1216/RMJ-1981-11-3-427 |
Reference:
|
[9] P.-M. Pu and Y.-M. Liu: Fuzzy topology. I. Neighborhood 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:
|
[10] N. Turanli, D. Coker: On fuzzy types of fuzzy connectedness in fuzzy topological spaces.Fuzzy Sets Syst. 60 (1993), 97–102. MR 1254583 |
Reference:
|
[11] L. A. Zadeh: Fuzzy sets.Inf. Control 8 (1965), 338–353. Zbl 0139.24606, MR 0219427, 10.1016/S0019-9958(65)90241-X |
Reference:
|
[12] X. Zhao: Connectedness on fuzzy topological spaces.Fuzzy Sets Syst. 20 (1986), 223–240. Zbl 0615.54008, MR 0858443 |
Reference:
|
[13] C.-Y. Zheng: Fuzzy path and fuzzy connectedness.Fuzzy Sets Syst. 14 (1984), 273–280. Zbl 0555.54005, MR 0768113, 10.1016/0165-0114(84)90087-3 |
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