Moore-Smith convergence in (L, M)-fuzzy topology

@article{Yao2012MooreSmithCI,
  title={Moore-Smith convergence in (L, M)-fuzzy topology},
  author={Wei Yao},
  journal={Fuzzy Sets and Systems},
  year={2012},
  volume={190},
  pages={47-62}
}
This paper presents a definition of (L,M)-fuzzy nets and the corresponding (L,M)-fuzzy generalized convergence spaces. It establishes a Moore–Smith convergence in (L,M)-fuzzy topology. It is shown that the category (L,M)-GConv of (L,M)-fuzzy generalized convergence spaces is topological, which embeds the category of (L,M)-fuzzy topological spaces as a reflective subcategory. It also defines a strong (L,M)-fuzzy generalized convergence space and shows that the resulting category S(L,M)-GConv is… CONTINUE READING

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Showing 1-9 of 9 references

Axiomatic foundations of fixed - basis fuzzy topology , in : U . Höhle ,

  • S. E. Rodabaugh
  • Mathematics of Fuzzy Sets : Logic , Topology…
  • 1999

General Topology

  • R. Engelking
  • Heldermann Verlag, Berlin
  • 1989
2 Excerpts

Fuzzy topology : I . Neighborhood structure of a fuzzy point and Moore - Smith convergence

  • S. E. Rodabaugh U. Höhle
  • J . Math . Anal . Appl .
  • 1980

Upper semicontinuous fuzzy sets and applications

  • U. Höhle
  • J. Math. Anal. Appl. 78
  • 1980
1 Excerpt

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