Relational compositions in Fuzzy Class Theory

@article{Behounek2009RelationalCI,
  title={Relational compositions in Fuzzy Class Theory},
  author={Libor Behounek and Martina Dankov{\'a}},
  journal={Fuzzy Sets and Systems},
  year={2009},
  volume={160},
  pages={1005-1036}
}
We present a method for mass proofs of theorems of certain forms in a formal theory of fuzzy relations and classes. The method is based on formal identification of fuzzy classes and inner truth values with certain fuzzy relations, which allows transferring basic properties of sup-T and inf-R compositions to a family of more than 30 composition-related operations, including sup-T and inf-R images, pre-images, Cartesian products, domains, ranges, resizes, inclusion, height, plinth, etc. Besides… CONTINUE READING
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