Parameterizing the Semantics of Fuzzy Attribute Implications by Systems of Isotone Galois Connections

@article{Vychodil2016ParameterizingTS,
  title={Parameterizing the Semantics of Fuzzy Attribute Implications by Systems of Isotone Galois Connections},
  author={Vil{\'e}m Vychodil},
  journal={IEEE Transactions on Fuzzy Systems},
  year={2016},
  volume={24},
  pages={645-660}
}
We study the semantics of fuzzy if-then rules called fuzzy attribute implications parameterized by systems of isotone Galois connections. The rules express dependences between fuzzy attributes in object-attribute incidence data. The proposed parameterizations are general and include as special cases the parameterizations by linguistic hedges used in earlier approaches. We formalize the general parameterizations, propose bivalent and graded notions of semantic entailment of fuzzy attribute… CONTINUE READING
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