On interval fuzzy S-implications

@article{Bedregal2010OnIF,
  title={On interval fuzzy S-implications},
  author={Benjam{\'i}n R. C. Bedregal and Graçaliz Pereira Dimuro and Regivan H. N. Santiago and Renata Hax Sander Reiser},
  journal={Inf. Sci.},
  year={2010},
  volume={180},
  pages={1373-1389}
}
This paper presents an analysis of interval-valued S-implications and interval-valued automorphisms, showing a way to obtain an interval-valued S-implication from two S-implications, such that the resulting interval-valued S-implication is said to be obtainable. Some consequences of that are: (1) the resulting interval-valued S-implication satisfies the correctness property, and (2) some important properties of usual S-implications are preserved by such interval representations. A relation… CONTINUE READING
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