On the First Place Antitonicity in QL-implications

@article{Shi2007OnTF,
  title={On the First Place Antitonicity in QL-implications},
  author={Yun Shi and Da Ruan and Etienne E. Kerre},
  journal={Fuzzy Sets and Systems},
  year={2007},
  volume={159},
  pages={2988-3013}
}
In order to obtain a demanded fuzzy implication, a number of properties have been proposed, among which the first place antitonicity, the second place monotonicity and the boundary conditions are the most important ones. The three classes of fuzzy implications derived from the implication in binary logic, S-, Rand QL-implications all satisfy the second place monotonicity and the boundary conditions. However, not all the QL-implications satisfy the first place antitonicity as Sand Rimplications… CONTINUE READING
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