Topological structures of L-fuzzy rough sets and similarity sets of L-fuzzy relations

@article{Wang2017TopologicalSO,
  title={Topological structures of L-fuzzy rough sets and similarity sets of L-fuzzy relations},
  author={Chun Yong Wang},
  journal={Int. J. Approx. Reasoning},
  year={2017},
  volume={83},
  pages={160-175}
}
The family of lower (resp. upper) sets is an Alexandrov L-fuzzy topology.The transitive subsets of lower and upper similarity sets coincide with each other.The transitive subsets of lower and upper similarity sets are complete distributive lattices. This paper investigates the topological structures of L-fuzzy rough sets. In particular, the family of lower (resp. upper) sets with respect to an arbitrary L-fuzzy relation is proved to be an Alexandrov L-fuzzy topology. Lower and upper similarity… CONTINUE READING

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