Title:
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On completeness and precompactness spectra of fuzzy sets in fuzzy uniform spaces (English) |
Author:
|
Šostak, Alexander |
Author:
|
Dzhajanbajev, D. |
Language:
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English |
Journal:
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Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
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31 |
Issue:
|
1 |
Year:
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1990 |
Pages:
|
149-157 |
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Category:
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math |
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MSC:
|
04A72 |
MSC:
|
54A40 |
MSC:
|
54E15 |
idZBL:
|
Zbl 0697.54005 |
idMR:
|
MR1056182 |
. |
Date available:
|
2008-06-05T21:42:32Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106830 |
. |
Reference:
|
[1] G. Artico R. Moresco: Fuzzy proximities and totally bounded fuzzy uniformities.J. Math. Anal. Appl. 99 (1984), 320-327. MR 0737812 |
Reference:
|
[2] H. Бyp6aки: 06щая тoпoлoгия, Ocнoвные cтруктуы.Мocквa 1961. |
Reference:
|
[3] C. L. Chang: Fuzy topological spaces.J. Math. Anal. Appl. 24 (1968), 182-190. MR 0236859 |
Reference:
|
[4] Д. Джaян6aев A. Шocтак: Об oднoй cтpyктype нeчёткoй рaвномepнocтн.(в пeчaтн). |
Reference:
|
[5] R. Engelking: General Topology.PWN, Warszawa, 1977. Zbl 0373.54002, MR 0500780 |
Reference:
|
[6] B. Hutton: Normality in fuzzy topological spaces.J. Math. Anal. Appl. 50 (1975), 74-79. Zbl 0297.54003, MR 0370457 |
Reference:
|
[7] B. Hutton: Uniformities on fuzzy topological spaces.J. Math. Anal. Appl. 58 (1977), 559-571. Zbl 0358.54008, MR 0644639 |
Reference:
|
[8] A. K. Katsaras: Convergence of fuzzy filters in fuzzy topological spaces.Bull. Math. Soc. Sci. Math. Roumanie 27 (1983), 131-137. Zbl 0517.54007, MR 0710030 |
Reference:
|
[9] A. K. Katsaras: On fuzzy uniform spaces.J. Math. Anal. Appl. 101 (1984) 97-113. Zbl 0598.54003, MR 0746229 |
Reference:
|
[10] R. Lowen: Convergence in fuzzy topological spaces.General Topology & Appl. 10 (1979), 147-160. Zbl 0409.54008, MR 0527841 |
Reference:
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[11] R. Lowen: Fuzzy uniform spaces.J. Math. Anal. Appl. 83 (1981), 370-385. Zbl 0494.54005, MR 0629763 |
Reference:
|
[12] Pu Pao-Ming, Liu Ying-Ming: Fuzzy Topology I. Neighborhood structure of a point and Moore-Smith convergence.J. Math. Anal. Appl. 76 (1980), 571-599. MR 0587361 |
Reference:
|
[13] S. E. Rodabaugh: A theory of fuzzy uniformities with applications to the fuzzy real lines.J. Math. Anal. Appl. 129 (1988), 37-70. Zbl 0637.54007, MR 0921376 |
Reference:
|
[14] A. Šostak: On compactness and connectedness degrees of fuzzy sets in fuzzy topological spaces.Gener. Topology and Relat. to Modern Anal. and Algebra, Heldermann Verlag, Berlin (1988), 519-532. MR 0952635 |
Reference:
|
[15] A.Шocтaк: Cтeпeнь кoмпaктнocти нечётких мнoжecтв в нeчётких тoпoлoгичecких пpocтpaнствах.Латв. Maт. Eжeгoд 32 (1988), 208-228. |
Reference:
|
[16] A.Шocтaк: Cтeпeнь cвязнocтк нeчeткмх мнoжеcтв в нeчётких тoпoлoгичecкнх пpocтpaнствах.Мaтем. Becтик 40 (1988), 159-171. |
Reference:
|
[17] A. Šostak: Lindelöfness and countable compactness degrees of fuzzy sets in fuzzy spaces.Proc. II Congress IFSA, Tokyo (1987), 180-184. |
Reference:
|
[18] A. Шocтaк: Двa дecятилeтия нeчёткoй тoпoлoги: ocновныe идeи, пoнятия м peзyльтaты.Уcпeхи Мaтем. Hayк 44 (1989), 99-147. MR 1037011 |
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