On completeness and precompactness spectra of fuzzy sets in fuzzy uniform spaces

Alexander P. Šostak; D. Dzhajanbajev

Commentationes Mathematicae Universitatis Carolinae (1990)

  • Volume: 031, Issue: 1, page 149-157
  • ISSN: 0010-2628

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Šostak, Alexander P., and Dzhajanbajev, D.. "On completeness and precompactness spectra of fuzzy sets in fuzzy uniform spaces." Commentationes Mathematicae Universitatis Carolinae 031.1 (1990): 149-157. <http://eudml.org/doc/17819>.

@article{Šostak1990,
author = {Šostak, Alexander P., Dzhajanbajev, D.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {fuzzy uniform spaces; completeness spectrum; precompactness spectrum},
language = {eng},
number = {1},
pages = {149-157},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On completeness and precompactness spectra of fuzzy sets in fuzzy uniform spaces},
url = {http://eudml.org/doc/17819},
volume = {031},
year = {1990},
}

TY - JOUR
AU - Šostak, Alexander P.
AU - Dzhajanbajev, D.
TI - On completeness and precompactness spectra of fuzzy sets in fuzzy uniform spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1990
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 031
IS - 1
SP - 149
EP - 157
LA - eng
KW - fuzzy uniform spaces; completeness spectrum; precompactness spectrum
UR - http://eudml.org/doc/17819
ER -

References

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  1. G. Artico R. Moresco, Fuzzy proximities and totally bounded fuzzy uniformities, J. Math. Anal. Appl. 99 (1984), 320-327. (1984) Zbl0558.54002MR0737812
  2. H. Бyp6aки, 06щая тoпoлoгия, Ocнoвные cтруктуы, Мocквa 1961. (1961) 
  3. C. L. Chang, Fuzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190. (1968) MR0236859
  4. Д. Джaян6aев A. Шocтак, Об oднoй cтpyктype нeчёткoй рaвномepнocтн, (в пeчaтн). 
  5. R. Engelking, General Topology, PWN, Warszawa, 1977. (1977) Zbl0373.54002MR0500780
  6. B. Hutton, Normality in fuzzy topological spaces, J. Math. Anal. Appl. 50 (1975), 74-79. (1975) Zbl0297.54003MR0370457
  7. B. Hutton, Uniformities on fuzzy topological spaces, J. Math. Anal. Appl. 58 (1977), 559-571. (1977) Zbl0358.54008MR0644639
  8. A. K. Katsaras, Convergence of fuzzy filters in fuzzy topological spaces, Bull. Math. Soc. Sci. Math. Roumanie 27 (1983), 131-137. (1983) Zbl0517.54007MR0710030
  9. A. K. Katsaras, On fuzzy uniform spaces, J. Math. Anal. Appl. 101 (1984) 97-113. (1984) Zbl0598.54003MR0746229
  10. R. Lowen, Convergence in fuzzy topological spaces, General Topology & Appl. 10 (1979), 147-160. (1979) Zbl0409.54008MR0527841
  11. R. Lowen, Fuzzy uniform spaces, J. Math. Anal. Appl. 83 (1981), 370-385. (1981) Zbl0494.54005MR0629763
  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. (1980) Zbl0447.54006MR0587361
  13. S. E. Rodabaugh, A theory of fuzzy uniformities with applications to the fuzzy real lines, J. Math. Anal. Appl. 129 (1988), 37-70. (1988) Zbl0637.54007MR0921376
  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. (1988) MR0952635
  15. A.Шocтaк, Cтeпeнь кoмпaктнocти нечётких мнoжecтв в нeчётких тoпoлoгичecких пpocтpaнствах, Латв. Maт. Eжeгoд 32 (1988), 208-228. (1988) 
  16. A.Шocтaк, Cтeпeнь cвязнocтк нeчeткмх мнoжеcтв в нeчётких тoпoлoгичecкнх пpocтpaнствах, Мaтем. Becтик 40 (1988), 159-171. (1988) 
  17. A. Šostak, Lindelöfness and countable compactness degrees of fuzzy sets in fuzzy spaces, Proc. II Congress IFSA, Tokyo (1987), 180-184. (1987) 
  18. A. Шocтaк, Двa дecятилeтия нeчёткoй тoпoлoги: ocновныe идeи, пoнятия м peзyльтaты, Уcпeхи Мaтем. Hayк 44 (1989), 99-147. (1989) MR1037011

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