Extension of Shi's quasi-uniformities in a Kubiak-Sostak sense

@article{Yue2006ExtensionOS,
  title={Extension of Shi's quasi-uniformities in a Kubiak-Sostak sense},
  author={Yueli Yue and Jinming Fang},
  journal={Fuzzy Sets and Systems},
  year={2006},
  volume={157},
  pages={1956-1969}
}
The aim of this paper is to study the extension of Shi Fu-Gui's quasi-uniformities in a Kubiak–Sostak sense. The relationship between this extension of Shi Fu-Gui's quasi-uniform molecular lattices (Shi's QUML) and the corresponding Kubiak–Sostak extension of Wang Guo-Jun's topological molecular lattices (Wang's TML) is discussed. QUML and TML denote the categories of Shi's QUML and Wang's TML, respectively. CD is the category of completely distributive lattices with complete lattice morphisms… CONTINUE READING

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  • 2010
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  • 2010
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References

Publications referenced by this paper.
SHOWING 1-10 OF 26 REFERENCES

A comparison of various uniformities in fuzzy topology

D. Zhang
  • Fuzzy Sets and Systems 140
  • 2003
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

On a fuzzy uniform structure

D. Dzhajanbajev, A. P. Šostak
  • Acta et Comm. Univ. Tartu 940
  • 1992
VIEW 18 EXCERPTS
HIGHLY INFLUENTIAL

On a fuzzy topological structure

VIEW 17 EXCERPTS
HIGHLY INFLUENTIAL

On fuzzy topologies

T. Kubiak
  • Ph.D. Thesis, Adam Mickiewicz, Poznan, Poland
  • 1985
VIEW 17 EXCERPTS
HIGHLY INFLUENTIAL

The category of pointwise S-proximity spaces

F. G. Shi
  • Fuzzy Sets and Systems 152
  • 2005
VIEW 1 EXCERPT

Šostak, A unified approach to the concept of fuzzy L-uniform

J. Gutierrez Garcia, A.P.M.A. de Prada Vicente
  • Trends in Logic,
  • 2003
VIEW 2 EXCERPTS

On the relationship between several basic categories in fuzzy topology

D. Zhang
  • Quaestiones Math. 25
  • 2002