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

  title={Moore-Smith convergence in (L, M)-fuzzy topology},
  author={Wei Yao},
  journal={Fuzzy Sets and Systems},
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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