On special fuzzy implications

@article{Jayaram2009OnSF,
  title={On special fuzzy implications},
  author={Balasubramaniam Jayaram and Radko Mesiar},
  journal={Fuzzy Sets and Systems},
  year={2009},
  volume={160},
  pages={2063-2085}
}
Special implications were introduced by Hájek and Kohout [Fuzzy implications and generalized quantifiers, Int. J. Uncertain. Fuzziness Knowl.-Based Syst. 4 (1996) 225–233] in their investigations on some statistics on marginals. They have either suggested or only partially answered three important questions, especially related to special implications and residuals of t-norms. In this work we investigate these posers in-depth and give complete answers. Toward this end, firstly we show that many… CONTINUE READING