Some properties of fuzzy closure spaces

  • Lee, Sang-Hun (Department of Mathematics Kangnung National University)
  • Published : 1999.08.01

Abstract

We will prove the existence of initial fuzzy closure structures. From this fact we can define subspaces and products of fuzzy closure spaces. Furthermore the family $\Delta$(X) of all fuzzy closure operators on X is a complete lattice. In particular an initial structure of fuzzy topological spaces can be obtained by the initial structure of fuzzy closure spaces induced by those. We suggest some examples of it.

Keywords

References

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